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  • Articles: DFG German National Licenses  (1,461)
  • 1975-1979  (1,461)
  • Engineering General  (946)
  • Life Sciences  (515)
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  • Articles: DFG German National Licenses  (1,461)
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Year
  • 101
    Electronic Resource
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    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 14 (1979), S. 1141-1163 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: This paper describes an explicit numerical method for solving transient combined heat conduction and convection problems. Applications include the cooling of many types of engineering plant; for example, stator and rotor windings of turbogenerators and high voltage underground cables. The Du Fort-Frankel and the fully implicit finite difference schemes have been used to solve the conduction and convection equations, respectively. It is shown that, with a suitable order of calculation, the overall method becomes explicit. Computational procedures are outlined and stability, accuracy and convergence are considered. Numerical examples are given to illustrate the use of the method and to validate some of the theoretical points. Results have also been obtained using existing numerical methods and have been compared with those from the proposed method. For certain problems, it is shown that the proposed method uses less overall computing time than other methods such as that devised by Crank and Nicolson.
    Additional Material: 6 Ill.
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  • 102
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    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 14 (1979), S. 1183-1196 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Additional Material: 7 Ill.
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  • 103
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    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 14 (1979), S. 1221-1239 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Additional Material: 6 Ill.
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  • 104
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    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 14 (1979), S. 1197-1220 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Additional Material: 9 Ill.
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  • 105
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    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 14 (1979), S. 1241-1256 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: A new dynamic substructuring method is presented. The substructures are identified by their fixed-interface modes and the condensed stiffness and mass matrices at zero vibration frequency. Physical co-ordinates are used instead of the modal co-ordinates to make the condition of compatibility between elements applicable. The dimension of the fundamental matrices is equal to the number of interface co-ordinates for each substructure. All information needed to formulate the fundamental matrices may be obtained experimentally. Both discrete and continuous parameter models are considered.A number of numerical examples are given and the method is compared with the other methods of dynamic substructure. It is shown that the numerical accuracy lost in the ordinary eigenvalue economization process may be recovered by the present method.
    Additional Material: 3 Ill.
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  • 106
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    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 14 (1979), S. 1262-1267 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
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  • 107
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    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 14 (1979), S. 1257-1261 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: This paper presents and results obtained from the stabilitystudies of plane Poiseuille flow and magnetohydrodynamic flow by the finite element method. Applying Galerkin's weighted residual method and introducing the interpolation function in the exponetial form with respect to time, the governing flow equations are reduced to an eigenvalue problem. This formulation is much simpler than that of the asymptotic expansion method. Solutions are obtained directly in terms of velocity and pressure. Results of the critical Reynolds number obtained by this method compare well with those of other methods for plane Poiseuille flow and magnetohydrodynamic flow.
    Additional Material: 3 Ill.
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  • 108
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    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 14 (1979), S. 1268-1270 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: In Reference 1 a mistake has been made by the derivation of equation (40). The correct expression is shown in the present note.
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  • 109
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    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 14 (1979), S. 1271-1271 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
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  • 110
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    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 14 (1979), S. 1272-1272 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
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  • 111
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    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 14 (1979) 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
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  • 112
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    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 14 (1979), S. i 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
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  • 113
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    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 14 (1979), S. 1273-1291 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: Finite element interpolations of arbitrary polynomial degree which are exactly and minimally C1 continuous across interelement boundaries are studied. A perspective view of the techniques proposed by other authors is presented and some new possibilities are considered. The problem is discussed with reference to the plate and shell finite element approximations, based on the principle of minimum potential energy. The approach also permits identification of sufficient conditions for guaranteeing full rank of stiffness matrices based on modified principles of potential energy. The results of this analysis can be used to investigate the linear dependencies among nodal variables which also occur in the formulation of other fourth-order problems.
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  • 114
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    International Journal for Numerical Methods in Engineering 14 (1979), S. 1293-1307 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: In this paper the computer code Duvorol, dealing with the computation of three-dimensional rolling contact with dry friction, is described. It is based on the variational principle of Duvaut and Lions for dry friction, which leads to an incremental theory. The relevant properties of Duvorol are:1Generality. All half-space steady-state rolling contact problems with Hertzian normal contact can be treated.2Reliability. The total tangential force is always found with reasonable accuracy by a standard discretization.3Speed. On an IBM 370/158 the calculation of a case then takes only several seconds.
    Additional Material: 6 Ill.
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  • 115
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    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 14 (1979), S. 1323-1333 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: An incremental force-displacement relation is derived using the finite element matrix method to study the inelastic bending of beams including transverse shear. Solutions are obtained for the case of a cantilever beam with a point load and a simply supported beam with distributed loading considering and also ignoring the effect of transverse shear. They show good agreement for those cases where solutions are available. Also, the effect of transverse shear is found to be quite significant.
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  • 116
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    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 14 (1979), S. 1309-1321 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: An accurate nonlinear analysis procedure for calculating the displacement stresses and system buckling loads of geometrically imperfect truss structures is developed. The investigation considers both local and system imperfections. This nonlinear analysis takes first-order geometrically nonlinear effects into account. The accuracy of the analysis procedure is confirmed by comparison with analytical and experimental results for truss structures drawn from the literature. The results show that local and system imperfections can have strong influence on the behaviour of truss structures and therefore should be taken into account. It is shown that nonlinear effects play a major role in the phenomena and therefore simplified analyses that neglect nonlinear effects are inadequate.
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  • 117
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    International Journal for Numerical Methods in Engineering 14 (1979), S. 1335-1346 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: A new second-order accurate method for the solution of two-point boundary value problems on a uniform mesh is given; the local truncation error is obtained for use with the deferred correction process. The method is compared with existing second-order techniques and is shown to produce more accurate results for a number of linear and nonlinear example problems.
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  • 118
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    International Journal for Numerical Methods in Engineering 14 (1979), S. 1347-1358 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: A simple, yet effective, finite element approach to aerodynamic problems is presented. A better approximation of the geometry is obtained by the mapping of airfoils into near-circles. The mapping serves in homogenizing the gradients of the problem by magnifying regions of high gradients such as the leading and trailing edges while geometrically condensing the lower gradient regions on the main part of the airfoil. The mapping also permits the use of an effective automated mesh generation scheme that greatly reduces the amount of preparatory work involved in finite elements. To limit the size of the solution domain, an asymptotic analytical solution, with unknown coefficients, is assumed on a finite radius outer contour. The coefficients are obtained along with the finite element nodal unknowns. An accrued advantage of this patching asymptotic procedure is its ability to obtain the lift as a solution variable without having to resort to the numerical integration of the pressure field over the body. Solutions to non-lifting and lifting bodies are obtained.
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  • 119
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    International Journal for Numerical Methods in Engineering 14 (1979), S. 1359-1377 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: We introduce a finite element model for stress analysis of threaded connections. Instead of modelling individual threads, the thread zone is replaced by a layer of elements with orthotropic properties. The principal directions of orthotropy depend upon the thread geometry and upon the direction of load, which is not necessarily known a priori. Both conventional and tapered threads are considered. The latter problem is nonlinear, as the number of threads in contact is a function of the load. Numerical results for conventional and tapered threads agree well with theoretical and exeprimental results in the literature.
    Additional Material: 14 Ill.
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  • 120
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    International Journal for Numerical Methods in Engineering 14 (1979), S. 1379-1398 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: Orthogonal base functions that are complete first-order polynomials but contain higher order terms are developed for normalized rectangular and triangular elements. To obtain exact expressions for kinetic energy under rigid body rotation, an internal node is introduced at the centroid of each element. Then the corresponding mass matrix is both diagonal and consistent. A mixed variational formulation is used in the derivation of spatially discretized field equations. Central Difference time integration is utilized to provide sample results which are compared with other numerical or analytical solutions.
    Additional Material: 7 Ill.
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  • 121
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    International Journal for Numerical Methods in Engineering 14 (1979), S. 1399-1412 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: A combination of a two-dimensional finite element process and a Fourier series in the third dimension, well known in linear applications, is shown to be a possible and efficient way of analysing plastic and visco-plastic behaviour. The economy of the process as contrasted with full three-dimensional solutions is illustrated.
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  • 122
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    International Journal for Numerical Methods in Engineering 14 (1979), S. 1428-1429 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
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  • 123
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    International Journal for Numerical Methods in Engineering 14 (1979), S. 1421-1427 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: It is shown here that certain interpolating polynomials of degrees four and five may not always be uniquely defined on triangular-shaped elements which have one curved side. Conditions which indicate non-uniqueness are given, together with some geometrical interpretations concerning the location of the node on the curved side. A numerical example is given to demonstrate that there ar curves for which every point is unsuitable to be chosen as a node.
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  • 124
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    International Journal for Numerical Methods in Engineering 14 (1979), S. 1413-1420 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: In the light of recent contributions by Batoz1 and Hibbitt,2 two aspects of finite element formulations for shell stability analysis are examined. The first is the consistency of the shell strain-displacement equations employed; the second is the proper representation of ‘follower forces’ - pressures that are always normal to the deforming surface. Numerical studies of an arch indicate that improper representation of either of these factors can have a significant effect on predicted buckling loads. Numerical studies of an arch indicate that improper representation of either of these factors can have a significant effect on predicted bukling loads.
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  • 125
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    International Journal for Numerical Methods in Engineering 14 (1979), S. 1430-1430 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
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  • 126
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    International Journal for Numerical Methods in Engineering 14 (1979), S. 1430-1430 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
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  • 127
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    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 14 (1979) 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
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  • 128
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    International Journal for Numerical Methods in Engineering 14 (1979), S. 1461-1476 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Additional Material: 10 Ill.
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  • 129
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    International Journal for Numerical Methods in Engineering 14 (1979), S. 1431-1448 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: The higher order dynamic correction terms for the stiffness and inertia matrices associated with a triangular plane stress-strain finite dynamic element are developed in detail. Numerical results presented indicate that the adoption of these matrices along with a suitable quadratic matrix eigenproblem solver effects a significant economy in the free vibration solution of structures when compared with the analysis based on the usual finite element procedure.A FORTRAN IV computer program listing of the various relevant element matrices is also presented in the Appendix.
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  • 130
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    International Journal for Numerical Methods in Engineering 14 (1979), S. 1449-1460 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: A numerical model is proposed to simulate the space-time behaviour of a low-density plasma in a linear multipole. Semi-discrete Galerkin techniques are used in conjunction with triangular finite elements. For both space and time discretizations, special techniques are developed to numerically separate the effect of rapid diffusion along the field lines from the slow perpendicular diffusion. Numerical results are exhibited to show how these techniques succeed in eliminating the problems caused by the strong anisotropy of the diffusion coefficient in the strongly curved and very inhomogeneous multipole configuration.
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  • 131
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    International Journal for Numerical Methods in Engineering 14 (1979), S. 1477-1497 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: Some tools are presented that may be used when implementing an application oriented software system. FEMSYS, a system for calculations based on the finite element method, will serve as example. Features of a simple problem oriented language and its parsing are treated and also a generally applicable data structure for both internal and external data storage. It is indicated how a system can be implemented which is suited to the solution of both standard and non-standard problems.
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  • 132
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    International Journal for Numerical Methods in Engineering 14 (1979), S. 1499-1509 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: An isoparametric Hermite cubic element is developed for calculating compressible flows past complex aerofoils in two dimensions. A simple intermediate transformation is used to derive an isoparametric transform whose Jacobian is always non-zero and which attains very high accuracy on the boundary. Application of the method and assessment of the error is illustrated by flow past a circular cylinder.
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  • 133
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    International Journal for Numerical Methods in Engineering 14 (1979), S. 1511-1524 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: Three weighted residual methods are used to analyse several linear and nonlinear model problems related to the stream function-vorticity formulation of the Navier-Stokes equations. These methods are then used to solve the driven cavity problem. The results obtained at Reynolds numbers of 100 and 400 compare very favourably with those obtained by finite difference and spline methods on meshes using at least four times as many mesh points.
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  • 134
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    International Journal for Numerical Methods in Engineering 14 (1979), S. 1525-1544 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: Various singularity finite elements proposed so far are reviewed and their correlations are discussed. The method adopted in the comparative study is based on the singularity mapping or transformation technique. It is suggested that a compact design of computational routines is materialized by using the element which embodies singularity transformation and can be compatible with the notion of using the variable-number-nodes element in the general-purpose computer programs.
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  • 135
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    International Journal for Numerical Methods in Engineering 14 (1979), S. 1545-1557 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: The reasons for the presence of spurious modes in plane isoparametric elements are examined. Eigenvalue and eigenvector analyses of stiffness matrices for single elements and unconstrained and constrained meshes reveal the types of mechanisms and near-mechanisms that can be expected when reduced or selective integration techniques are used with quadrilateral elements in the analysis of plane strain problems.
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  • 136
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    International Journal for Numerical Methods in Engineering 14 (1979), S. 1559-1562 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: Approximate and exact methods are presented for computing a function, related to complete elliptic integrals of the first kind, which arise in the theory of microwave transmission lines. The method can be implemented on programmable hand calculators.
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  • 137
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    International Journal for Numerical Methods in Engineering 14 (1979), S. 1563-1566 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: A method is presented for inverting an n × n complex matrix M = A + jB by using a real matrix inversion. The approach avoids the requirements of inverting a 2n × 2n real matrix as well as non-singularity assumptions placed on A or B, or A + B, or A - B, as required by earlier methods.
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  • 138
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    International Journal for Numerical Methods in Engineering 14 (1979), S. 1574-1574 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: In this paper a new, one-point iterative formula for solution of equations is presented.
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  • 139
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    International Journal for Numerical Methods in Engineering 14 (1979), S. 1567-1573 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: This paper presents a finite difference method for two-point boundary value problems described by fourth-order ordinary differential equations which results in consistency of truncation errors. It is demonstrated that the order of the formulae used to approximate the boundary conditions must be higher than those used for similar derivative terms in the differential equation. A generalization of the method to differential equations of order n is discussed. The procedure is illustrated with a numerical example.
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  • 140
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    International Journal for Numerical Methods in Engineering 14 (1979), S. 1575-1579 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
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    International Journal for Numerical Methods in Engineering 14 (1979) 
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    International Journal for Numerical Methods in Engineering 14 (1979), S. 1581-1596 
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    Source: Wiley InterScience Backfile Collection 1832-2000
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    Notes: The Possibility of the application of the finite element method to some problems of nonlinear optics is investigated in this paper. The self-action of a light beam in a nonlinear medium is considered. The general approach to the cretion of conservative computation schemes is presented, based on varitional principles. Definite schemes, which are applicable for the problem of thermal self-action, are described in detail both in the case of cylindrical and or rectangular co-ordinates. The accuracy and convergence of the models are analysed. The results of computation of the self-action problems in motionless and moving media are presented.
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    International Journal for Numerical Methods in Engineering 14 (1979), S. 1613-1626 
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    Source: Wiley InterScience Backfile Collection 1832-2000
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    Notes: An algorithm is described which appears to give an efficient solution of nonlinear finite element equations. It is a quisi-Nowton method, and we compare it with some of the alternatives. Initial tests of its application to both material and geometric nonlinearities are discussed.
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    International Journal for Numerical Methods in Engineering 14 (1979), S. 1597-1612 
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    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
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    Notes: Dynamic response of strip footings resting on a soil medium, idealized as an elastic halfspace, is obtained using the finite element discretization technique with constant strain rectangular elements consisting of 4CST elements. Boundary stresses have been computed using a combination of Rayleigh wave absorbing boundaries (RAB) and standard vicous boundaries (SVB). The influences of contact pressure distributions at the footing - soil interface, mass and frequency ratios on the dynamic response of a strip footing are studied. Effects of embedment, static surcharge, nonhomogeneity and nonlinear constitutive relations are shown. Results are compared with the existing solution and are presented graphically.
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    International Journal for Numerical Methods in Engineering 14 (1979), S. 1627-1641 
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    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
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    Notes: Two properties of hybrid element method for diffraction and radiation of water waves are examined. For long waves in shallow water the method is shown to give a unique solution for all frequencies. Thus, unlike several other known methods, there are no irregular frequencies for which the approximating matrix equation is singluar. For a sea of arbitrary depth, it is shown that all known global identities such as reciprocity and energy theorems are preserved by the discrete solution. Thus, satisfaction of these identities by the numerical solution is only a necessary but by no means sufficient condition for accuracy.
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    International Journal for Numerical Methods in Engineering 14 (1979), S. 1653-1663 
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    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
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    Notes: The concept of fictitious external loading being in exact equilibrium with the internal stresses in a structure is introduced. It is employed in conjunction with the principle of virtual work in an effort to examine certain details of the finite element displacement method in an alternative way.
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    International Journal for Numerical Methods in Engineering 14 (1979), S. 1643-1651 
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    Source: Wiley InterScience Backfile Collection 1832-2000
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    Notes: Several examples are presented to illustrate how standard finite differnce schemes for the wave eqation (e.g. Lax-Wendroff, Leafrog, etc.) can be developed from finite element analysis. The development of the diffrence schemes from the element schemes is made possible by using Galerkin's method on both the spacial and temporal dimensions.
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    International Journal for Numerical Methods in Engineering 14 (1979), S. 1665-1678 
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    Source: Wiley InterScience Backfile Collection 1832-2000
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    Notes: The use of local mesh refinements for the generation of meshes for the finite element or finite difference methods is studied. A class of rectangular meshes which admit restricted local refinements, referred to as irregular rectangular meshes, is introduced and its representation discussed. Properties of algorithms for mesh refinements are discussed from the viewpoints of termination with a mesh in the specified class, memory utilization, symmetry and fragmentation of the mesh.
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    International Journal for Numerical Methods in Engineering 14 (1979), S. 1679-1692 
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    Source: Wiley InterScience Backfile Collection 1832-2000
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    Notes: Transform methods for the interpolation of regularly spaced data are described, based on fast evaluation using discrete Fourier transforms. For periodic data adequately sampled, the fast Fourier transform (FFT) is used directly. With undersampled or aperiodic data, a Chebyshev interpolating polynomial is evaluated by means of the FFT to provide minimum deviation and distributed ripple. The merits of two kinds of Chebyshev series are compared. All the methods described produce an interpolation passing directly through the given values and are applied easily to the multi-dimensional case.
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    International Journal for Numerical Methods in Engineering 14 (1979), S. 1707-1709 
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    Notes: The superconvergent property of the discrete solution to certain one-dimensional problems is examined in the context of the weighted residual difference equations and their conservation properties. The difference equations are shown to satisfy the differential equation exactly at nodes and reproduce the derivatives at boundary nodes. The exact values for the first derivative at interior nodes follow from the conservation property when applied locally.
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    International Journal for Numerical Methods in Engineering 14 (1979), S. 1715-1725 
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  • 152
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    International Journal for Numerical Methods in Engineering 14 (1979), S. 1693-1706 
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    Source: Wiley InterScience Backfile Collection 1832-2000
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    Notes: The stiffness-derivative method of Parks1 for calculating the linear elastic crack tip stress intensity factor for any symmetric crack configuration and a particular loading is extended to calculate the weight function vector field2,3 which serves as a Green's function for the stress intensity factor. The method, which combines the observations of Rice3 on the weight function and of Zienkiewicz4 on the differential stiffness method, permits very efficient determination of the weight function, requiring only one additional back-substitution on the already-factored stiffness matrix. Thus, the stress intensity factor for arbitrary loading of this configuration can subsequently be determined by quadrature alone. The promising extension of the method to three-dimensional configurations is outlined.While this manuscript was under review, the authors became aware of the recent work of Vanderglas,21 in which the same approach as ours is used to extend the stiffness derivative method. The present work was then voluntarily revised in order to address further certain aspects of the topic of shape function perturbation, which Vanderglas noted.
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    International Journal for Numerical Methods in Engineering 14 (1979), S. 1710-1714 
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    Notes: A modification of the numerical techniques of solution of Cauchy-type singular integral equations and determination of stress intensity factors at crack tips in plane elastic media is proposed. This technique presents some advantages under appropriate geometry conditions.
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    International Journal for Numerical Methods in Engineering 14 (1979), S. 1726-1731 
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    Source: Wiley InterScience Backfile Collection 1832-2000
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    Notes: Transient heat conduction in a composite slab is investigated in the present work by using the orthogonal collocation method. The present numerical method is found to be quite efficient and highly stable even for the power-type temperature dependence of thermal conductivity which often cuases severe computational instability to many numerical methods.
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    International Journal for Numerical Methods in Engineering 14 (1979), S. 1732-1733 
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    International Journal for Numerical Methods in Engineering 14 (1979), S. 1732-1733 
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    International Journal for Numerical Methods in Engineering 14 (1979), S. 1735-1738 
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    International Journal for Numerical Methods in Engineering 14 (1979), S. 1734-1734 
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    International Journal for Numerical Methods in Engineering 14 (1979), S. 1734-1734 
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    International Journal for Numerical Methods in Engineering 14 (1979), S. 1739-1760 
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    International Journal for Numerical Methods in Engineering 14 (1979), S. 1761-1783 
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    Source: Wiley InterScience Backfile Collection 1832-2000
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    Notes: This paper is mainly concerned with a new structural optimization method based upon the concept of duality in convex programming. This rigorous formulation permits justification of many intuitive procedures which are used in the classical optimality criteria approaches. Furthermore, the dual algorithms proposed in this paper do not suffer from the drawbacks inherent to the optimality criteria approach. The selection of the set of active constraints does not introduce any difficulty and is achieved correctly in all cases. The subdivision of the design variables in an active and passive group is intrinsically contained in the dual formulation. The efficiency of the dual algorithms is shown with reference to some problems for which the classical methods do not lead to satisfactory results.
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    International Journal for Numerical Methods in Engineering 14 (1979), S. 1785-1804 
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    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
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    Notes: Several types of smoothing technique are considered which generate continuous approximation (i.e. nodal values) for vorticity and pressure from finite element solutions of the Navier-Stokes equations using quadrilateral elements. The simpler schemes are based on combinations of linear extrapolation and/or averaging algorithms which convert elementwise. Gauss point values to nodal point values. More complicated schemes, based on a global smoothing technique which employ the mass matrix (consistent or lumped), are also presented.An initial assessment of the accuracy of the several schemes is obtained by comparing the approximate vorticities with an analytical function. Next, qualitative vorticity comparisons are made from numerical solutions of the steady-state driven cavity problem. Finally, applications of smoothing techniques to discontinuous pressure fields are demonstrated.
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    International Journal for Numerical Methods in Engineering 14 (1979), S. 1872-1874 
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    International Journal for Numerical Methods in Engineering 14 (1979), S. 1865-1871 
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    Notes: Earlier publications demonstrated the capability of the EPIC-3 code to perform high velocity impact computations in three dimensions.1,2 These capabilities were demonstrated with simplified material and sliding surface models in a core-contained computer program. This paper presents recent developments which include more comprehensive material and sliding surface formulations, and an expanded computer program which can handle problems of unlimited size by beffering data between disc files and core. The EPIC-3 code is based on an explicit, finite element, Lagrangian formulation which uses constant strain tetrahedral elements.
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    International Journal for Numerical Methods in Engineering 14 (1979), S. 37-50 
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    Source: Wiley InterScience Backfile Collection 1832-2000
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    International Journal for Numerical Methods in Engineering 14 (1979), S. 11-35 
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    Notes: Finite element equivalents of the equations governing shearing and buoyancy driven flows are derived, and reduced to upwind forms suitable for the solution of problems in which the Reynolds and Rayleigh numbers are large. A modification to the central difference iterative method is studied which increases the Reynolds and Rayleigh numbers for which a central difference form may be used. A comparison is made between the results obtained using the central and upwind forms of the finite element method and those predicted by finite difference methods in the case of flow in a cavity. A mesh refinement study is made. The upwind forms of the finite element equations are applied to the solution of a complex flow problem involving the flow of glass in a throated furnace in the case of constant- and temperature- dependent viscosity and conductivity.
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    International Journal for Numerical Methods in Engineering 14 (1979), S. 51-68 
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    Notes: The 18 degree-of-freedom flat triangular shell element is reformulated by combining the well-known bending triangle with a plane stress triangle incorporating in-plane rotations at each vertex. Both elements are displacement formulated. The plane stress element's displacement interpolation is incomplete and hence convergence to exact solutions is precluded. Comprehensive test results are presented for several types of problem including plane stress, thin shells and folded plates. The results indicate that the element does produce rapidly convergent answers. However these answers are not the correct ones, although they may be acceptable engineering approximations in many applications. Further, the element seems to provide reasonably good results even for relatively coarse element grids.
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    International Journal for Numerical Methods in Engineering 14 (1979), S. 69-79 
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    Notes: A finite element analysis technique for an arbitrarily laminated anisotropic plate is described. A superparametric quadratic plate element with five degrees-of-freedom per node is used in the analysis. A stress-strain relation is derived from a three-dimensional approach to the problem. The volume integration of the stiffness matrix is evaluated by numerical integration using the Gauss quadrature formula with 2 × 2 × 2 sampling points. A variety of laminated plate problems is solved and the results are compared with the exact solutions, which demonstrate the validity of the method.
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    International Journal for Numerical Methods in Engineering 14 (1979), S. 156-157 
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    International Journal for Numerical Methods in Engineering 14 (1979), S. 157-157 
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    International Journal for Numerical Methods in Engineering 14 (1979), S. 155-155 
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    International Journal for Numerical Methods in Engineering 14 (1979), S. 156-156 
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    International Journal for Numerical Methods in Engineering 14 (1979), S. 201-209 
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    Notes: Abel's integral equation is the governing equation for certain problems in physics and engineering, such as radiation from distributed sources. The finite element method for the soultion of this non-linear equation is presented for problems with cylindrical symmetry and the extension to more general integral equations is indicated. The technique was applied to an axisymmetric glow discharge problem and the results show excellent agreement with previously obtained solutions.
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    International Journal for Numerical Methods in Engineering 14 (1979), S. 211-225 
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    Notes: The problem of non-radial loading (in the stress space) of structures of elastic-plastic metals is discussed. A concept of combined isotropic and kinematic hardening is proposed. For a material displaying such mixed hardening, constitutive equations are derived and incorporated in a finite element program for the analysis of elastic-plastic 2D-structures. When determining the numerical solution of the non-linear equations, the program enables the investigator to select an optimal combination of step by step and iteration procedures. The computed results are compared with experimental results and with results from calculations based on the overlay model, Reference 25.
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    International Journal for Numerical Methods in Engineering 14 (1979), S. 235-250 
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    Notes: We use the mixed equilibrium finite element method of Hellan-Herrmann,1-5 for solving the problem of elasto-plastic bending and limit load for a thin plate.We give also some results for the elastic case, for which exact solutions are known.
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    International Journal for Numerical Methods in Engineering 14 (1979), S. 441-449 
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    Source: Wiley InterScience Backfile Collection 1832-2000
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    Notes: An algorithm has been developed which automatically calculates the time-dependent positions of points on the ablating boundaries of two-dimensional continuum structures with geometrially complex shapes. The structural boundary may consist of ablating and non-ablating parts. The initial ablating and non-ablating boundaries are defined by the disjoint union of piecewise linear arcs passing through a finite set of nodal points on the boundary, each defined by a pair of rectangular Cartesian co-ordinates. For a specified ablation rate, the algorithm calculates successive positions of the boundary points at times specifiec by the user. The algorithm is designed such that it may be easily incorporated, along with an automated mesh generation procedure, into existing finite element codes for transient thermal or stress analysis of structures with ablating boundaries. Two examples are presented from the field of solid rocket analysis.
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    International Journal for Numerical Methods in Engineering 14 (1979), S. 459-463 
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    Notes: A physical interpretation of the method - adding αM to the stiffness matrix - used in frequency analysis of unsupported structures is suggested. The proper choice of α is discussed and a relation between angular natural frequencies of structures with and without elastic support is given.
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    International Journal for Numerical Methods in Engineering 14 (1979), S. 473-474 
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    International Journal for Numerical Methods in Engineering 14 (1979), S. 464-467 
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    Notes: A method of introducing general constraint equations into finite element matrix equations is described. The characteristics of the method are that it requires no reordering or condensation of the equations, no large matrix operations, and no increase in the number of unknowns. The method is suitable for application in minicomputer implementations of finite element analysis unless a large number of constraints is to be applied.
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    International Journal for Numerical Methods in Engineering 14 (1979), S. 468-472 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: A method, based on the trapezoidal rule, is described for the numerical evalution of the error term arising in some numerical quadrature formulae.
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  • 182
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    International Journal for Numerical Methods in Engineering 14 (1979), S. 474-474 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
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  • 183
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    International Journal for Numerical Methods in Engineering 14 (1979), S. 545-565 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: A finite element simulation of the equations of momentum and energy transport in fluids has been implemented with triangular elements. An attempt is made to single out the reasons for numerical instabilities reported by other investigators for convection-diffusion transport operations in fluid mechanics when the ratio of the convective to the diffusive terms, measured by the Reynolds and Peclét numbers, is of the order of a hundred. To this end, the equations are solved for several problems to permit a direct comparison with results of other formulations. It is shown that the appearance of instability can be delayed by a proper choice of boundary conditions, and its intensity can be reduced through the use of triangular finite elements. Results agree very well with theoretical solutions for particular test problems including flows with large convection effects, large dissipation effects and fluids with temperature dependent properties.
    Additional Material: 12 Ill.
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  • 184
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    International Journal for Numerical Methods in Engineering 14 (1979), S. 567-580 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: Methods are described and reviewed for the accurate numerical evaluation of improper integrals encountered in conformal transformation solutions involving boundaries of relatively complicated shape. Four methods are reviewed for the solution of integrals containing end-point singularities. Two new methods are discussed for the solution of integrals containing both end point singularities and simple poles within the range of integration. One method uses a combination of a simple recursive formula and the coefficients of a Chebyshev series and a second method involves subtracting out the singularity and the use of Gauss-Jacobi quadrature. Both methods can give results of high accuracy and an upper limit of the error is readily found. A numerical example is taken which is typical of the application to practical problems and this brings out a comparison of the two methods.
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  • 185
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    International Journal for Numerical Methods in Engineering 14 (1979), S. 581-592 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: A family of 2-D and 3-D superparametric curved beam elements are introduced as a special form of general 2-D and 3-D isoparametric continuum elements. Each beam ‘subelement’ is rectangular incross section, however several elements may be offset and overlayed for the analysis of structural members of quite general section properties. A number of examples are presented in order to illustrate the validity and range of application of the element.
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  • 186
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    International Journal for Numerical Methods in Engineering 14 (1979), S. 593-615 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: We present a new three-dimensional finite element, with the customary three displacement d.o.f. at each corner but no internal d.o.f. It passes the patch test and, for rectangular elemtents, exactly models pure bending. In numerical tests, the new element is found to be both accurate and efficient. It has the added advantage that its bending and twisting stiffnesses can be individually adjusted.
    Additional Material: 5 Ill.
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  • 187
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    International Journal for Numerical Methods in Engineering 14 (1979), S. 621-623 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Additional Material: 1 Tab.
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  • 188
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    International Journal for Numerical Methods in Engineering 14 (1979) 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
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  • 189
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    International Journal for Numerical Methods in Engineering 14 (1979), S. 633-645 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: This paper present an algorithm and its corresponding FORTRAN IV program which solves a system of simultaneous equations of the type generated in structural analysis. It is based on the Gauss elimination method, so it is a direct method. But it only needs to have in core as many equations as it can contain, with a minimum of two. The program offers the following advantages: (a) Takes into account zeros to avoid operations. (b) Considers very big numbers in the diagonal, corresponding to boundary conditions, to avoid operations. (c) It can handle several load cases either simultaneously or in groups, at choice.
    Additional Material: 4 Ill.
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  • 190
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    Journal of Supramolecular Structure 11 (1979), S. 251-258 
    ISSN: 0091-7419
    Keywords: tumorigenicity ; cyclic AMP-dependent protein kinase ; tyrosinase MSH-growth-resistant variant ; mouse melanoma ; Life Sciences ; Molecular Cell Biology
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Biology , Chemistry and Pharmacology , Medicine
    Notes: A variant of B-16 F1 mouse melanoma was selected for its ability to survive and replicate in the presence of melanocyte-stimulating hormone (MSH). Although the variant (MR-4) was completely resistant to growth inhibition by MSH, cyclic AMP was still able to block cell replication. Tyrosinase activity in MR-4 cells was considerably lower than in B-16 F1 cells. MSH induced a twofold to three-fold increase in tyrosinase activity in both cell types, but the absolute activity in MR-4 remained significantly less than in the parental cells. MR-4 cells were also found to have a markedly depressed cyclic AMP-dependent protein kinase activity relative to B-16 F1 cells. The protein kinase from both cell types was stimulated by cyclic AMP, but the level of MR-4 kinase activity at maximal cyclic AMP concentrations remained considerably lower than B-16 F1 kinase activity under the same conditions. In both cell types adenylate cyclase activity was markedly stimulated by MSH. When equal numbers of viable F1 and MR-4 cells were injected subcutaneously into C57/B1 mice, the MR-4 cells formed tumors earlier and killed the host sooner than the parental F1 cells. We conclude that the biochemical alteration which allows MR-4 cells to replicate in the presence of MSH is a low level of tyrosinase activity, which in turn may be the result of low cyclic AMP-dependent protein kinase activity.
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  • 191
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    Journal of Supramolecular Structure 11 (1979) 
    ISSN: 0091-7419
    Keywords: Life Sciences ; Molecular Cell Biology
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Biology , Chemistry and Pharmacology , Medicine
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  • 192
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    Journal of Supramolecular Structure 11 (1979), S. 361-370 
    ISSN: 0091-7419
    Keywords: endothelial cells ; platelet-derived growth factor ; thrombin ; wound healing ; Life Sciences ; Molecular Cell Biology
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Biology , Chemistry and Pharmacology , Medicine
    Notes: Repair of a vascular wound is mediated by migration and subsequent replication of the endothelial cells that form the inner lining of blood vessels. We have measured the growth response of human umbilical vein endothelial cells (HuE) to two polypeptides that are transiently produced in high concentrations at the site of a wound; the platelet-derived growth factor (PDGF) and the protease thrombin. When 104 HuE cells are seeded as a dense island (2-mm diameter) in the center of a 16-mm tissue culture well in medium containing 20% human serum derived from platelet-poor plasma (PDS), no increase in cell number or colony size is observed. With the addition of 0.5 ng/ml partially purified PDGF, colony size increases and the number of cells after 8 days is 4.8 × 104. When human thrombin (1 μg/ml) is added along with the PDGF, the cell number rises to 9.2 × 104. Thrombin alone stimulates no increase in cell number. Although partially purified PDGF stimulates endothelial cells maintained in PDS as well as those maintained in whole blood serum (WBS), pure PDGF is active only when assayed in medium that contains WBS and is supplemented with thrombin. These results suggest the existence of a second class of platelet-derived factors that enable HuE cells to respond to the mitogenic activity of the purified platelet mitogen and thrombin.
    Additional Material: 5 Ill.
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  • 193
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    Journal of Supramolecular Structure 10 (1979), S. 125-135 
    ISSN: 0091-7419
    Keywords: protein phosphorylation ; cAMP-dependent protein kinases ; adenosine on cyclic AMP ; C1300 neuroblastoma ; Life Sciences ; Molecular Cell Biology
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Biology , Chemistry and Pharmacology , Medicine
    Notes: DEAE-cellulose chromatography of the 20,000g supernatant fraction of homogenates of C-1300 murine neuroblastoma (clone N2a) yields one major and two minor peaks of cyclic AMP-dependent protein kinase activity. Assessment of the endogenous activation state of the enzyme(s) reveals that the enzyme is fully activated by the treatment of whole cells with adenosine (10 μM) in the presence of the phosphodiesterase inhibitor Ro 20 1724 (0.7 mM). This treatment produces a large elevation in the cyclic AMP content of the cells. The treatment of whole cells with adenosine alone (1-100 μM) or Ro 20 1724 alone (0.1-0.7 mM) produces minimal elevations in cyclic AMP but nevertheless causes significant activations of cyclic AMP-dependent protein kinase. The autophosphorylation of whole homogenates of treated and untreated cells was studied using [γ-32P] ATP, sodium dodecyl sulfate-polyacrylamide gel electrophoresis and autoradiography. Treatments which activate cyclic AMP-dependent protein kinase selectively stimulate the incorporation of 32P into several proteins. This stimulation is most prominent in the 15,000-dalton protein band. The addition of cyclic AMP to phosphorylation reactions containing homogenate of untreated cells stimulates the phosphorylation of the same protein bands. These results indicate that adenosine may have regulatory functions through its effect on the cyclic AMP: cyclic AMP-dependent protein kinase system.
    Additional Material: 4 Ill.
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  • 194
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    Journal of Supramolecular Structure 10 (1979), S. 39-50 
    ISSN: 0091-7419
    Keywords: muscle ; acetylcholine ; acetylcholine receptors ; α-Bungarotoxin ; chick ; modulation ; Life Sciences ; Molecular Cell Biology
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Biology , Chemistry and Pharmacology , Medicine
    Notes: Acetylcholine receptors were assayed with α-bugarotoxin on embryonic chick skeletal muscle growing in primary cell culture. Toxin was bound specifically to muscle cells and could be competed with D-tubocurarine. Two dissociation constants were obtained by equilibrium binding: 7.2 × 10-9M and 2.7 × 10-7M at 25°C. Two sets of rate constants were also obtained from dissociation kinetics. There are five times more low affinity sites on cells than high affinity sites. The average density of high-affinity receptors is about 200/μm2.A time course of toxin binding to receptors at 37°C vs 25°C in growth medium revealed that under conditions permitting growth and metabolism, toxin bound to cells was lost. The possibility that the growth medium was in-activating toxin molecules was ruled out by showing that unbound toxin molecules in the medium were fully capable of binding to fresh cultures.
    Additional Material: 6 Ill.
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  • 195
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    Journal of Supramolecular Structure 10 (1979), S. 51-60 
    ISSN: 0091-7419
    Keywords: cholera toxin ; GTP ; pigeon erythrocyte ; adenylate cyclase ; cytosolic factor ; phosphodiesterase protein activator ; Life Sciences ; Molecular Cell Biology
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Biology , Chemistry and Pharmacology , Medicine
    Notes: The activation of adenylate cyclase in lysed pigeon erythrocytes requires, among several cofactors, a nucleotide which may be ATP, GTP, or many other triphosphates. However, after removal of endogenous nucleotides by gel filtration or by adsorption onto charcoal the requirement can be met only by GTP, or an analog of GTP. The GTP is required during the activation of the cyclase by toxin even if GTP is also included during the subsequent adenylate cyclase assay, conducted without toxin. In the presence of GTP it is possible to assay for the cytosolic protein that is also required for the action of cholera toxin. By gel filtration, its apparent molecular weight is 15,000-20,000.
    Additional Material: 6 Ill.
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  • 196
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    Journal of Supramolecular Structure 10 (1979), S. 79-96 
    ISSN: 0091-7419
    Keywords: red cell membrane proteins ; spectrin ; red cell shape ; deformability ; membrane protein cross-linking ; membrane protein disulfide coupling ; red cell adenosine triphosphate ; calcium ; membrane protein polymerization ; discocyte-echinocyte transformation ; irreversibly sickled cells ; sickle cell anemia ; Life Sciences ; Molecular Cell Biology
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Biology , Chemistry and Pharmacology , Medicine
    Notes: It has been proposed that the spectrin-actin submembrane network participates in control of red cell shape and deformability. We have examined ATP- and calcium-dependent changes in organization of spectrin in the membrane employing cross-linking of the nearest membrane protein neighbors by spontaneous or catalyzed (CuSO4, O-phenanthroline) intermolecular disulfide couplings and two-dimensional sodium dodecyl sulfate polyacrylamide gel electrophoresis.Cross-linking of fresh red cells resulted in the formation of spectrin and actin dimers and tetramers. ATP-depleted red cells differed from fresh cells in the presence of an additional reducible polymer of MW 〉 1 × 106 selectively enriched in spectrin. This polymer formed spontaneously when red cells were depleted of ATP under aerobic conditions. After anaerobic ATP depletion, the polymer formed in ghosts after cross-linking by catalytic oxidation. Polymerization was prevented by maintenance of ATP and coincided with an ATP-dependent discocyte-echinocyte transformation. This suggests that, in ATP-depleted red cells, spectrin is rearranged to establish closer contacts, and that this may contribute to the discocyte-echinocyte transformation.The introduction of greater than 0.5 mM Ca++ into ghosts by inclusion in hemolysis buffer or into fresh red cells (but not ATP-depleted red cells) by treatment with ionophore A23187 spontaneously produced a nonreducible polymer which others have attributed to transamidative cross-linking of spectrin, band 3, and other proteins. Spontaneous formation of both polymer types (reducible in aerobically ATP-depleted red cells and nonreducible in fresh, Ca++ enriched red cells) resulted in stabilization (“autocatalytic fixation”) of spheroechinocytic shape.Irreversibly sickled cells, which have increased calcium and decreased ATP, and exhibit a permanent membrane deformation, failed to form any of the above polymers. This suggests that in contrast to normal cells depleted of ATP in vitro, fixation of ISC shape in vivo is not related to Ca- and ATP-dependent membrane protein polymerization. However, ISCs had an increased propensity to form the reducible, spectrin-rich polymer during a subsequent metabolic depletion in vitro. This was associated with transformation of ISCs into spheroechinocytes. Similar echinocytic ISCs were found to constitute 5-10% of the densest fractions of freshly separated ISCs. ISCs then exhibit sphero-echniocyte transformation, both in vitro and in vivo. We propose that this is due to spectrin reorganization that presumably results from the progressively increasing calcium and decreasing ATP of ISCs.These data provide evidence of altered spectrin organization in membranes of ATP-depleted, calcium-enriched red cells in vitro and in vivo.
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  • 197
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    Journal of Supramolecular Structure 10 (1979) 
    ISSN: 0091-7419
    Keywords: Life Sciences ; Molecular Cell Biology
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Biology , Chemistry and Pharmacology , Medicine
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  • 198
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    Journal of Supramolecular Structure 10 (1979), S. 227-239 
    ISSN: 0091-7419
    Keywords: spectrin ; actin ; red cell membranes ; Life Sciences ; Molecular Cell Biology
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Biology , Chemistry and Pharmacology , Medicine
    Notes: The human erythrocyte structural protein spectrin and its subunits I, II were isolated in the presence of Na-dodecyl-sulfate by gel filtration and preparative gel electrophoresis. After removal of the detergent, spectrin alpha-helical content is comparable to spectrin isolated without detergent. Subunits I and II formed single bands in isoelectric focusing (pI = 5.6) and in Ornstein-Davis disc gel electrophoresis systems, indicating the individual subunits are homogenous in nature. The molecular weights of the subunits I and II, determined by Ferguson plot, are 237,500 and 238,600, respectively, which is in good agreement with values obtained by the standard SDS gel relative mobility method. Limited tryptic digestion of spectrin and two-dimensional peptide maps of the individual subunits cleaved by S-cyanylation reaction showed dissimilar patterns, suggesting differences in primary structure between the two subunits.
    Additional Material: 5 Ill.
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  • 199
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    Journal of Supramolecular Structure 10 (1979), S. 265-275 
    ISSN: 0091-7419
    Keywords: membrane hydration ; membrane-bound water ; ANS fluorescence ; infrared spectra ; water-membrane interactions ; Life Sciences ; Molecular Cell Biology
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Biology , Chemistry and Pharmacology , Medicine
    Notes: Bound water is a major component of biological membranes and is required for the structural stability of the lipid bilayer. It has also been postulated that it is involved in water transport, membrane fusion, and mobility of membrane proteins and lipids. We have measured the fluorescence emission of membrane-bound 1-anilino-8-naphthalenesulfonate (ANS) and the infrared spectra of membranes, both as a function of hydration. ANS fluorescence is sensitive to polarity and fluidity of the membrane-aqueous interface, while infrared absorption is sensitive to the hydrogen bonding and vibrational motion of water and membrane proteins and lipids. The fluorescence results provide evidence of increasing rigidity and/or decreasing polarity of the membrane-aqueous interface with removal of water. The membrane infrared spectra show prominent hydration-dependent changes in a number of bands with possible assignments to cholesterol (vinyl CH bend, OH stretch), protein (amide A, II, V), and bound water (OH stretch). Further characterization of the bound water should allow its incorporation into current models of membrane structure and give insight into the role of membrane hydration in cell surface function.
    Additional Material: 7 Ill.
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  • 200
    ISSN: 0091-7419
    Keywords: protein conformation ; phospholipids ; diglycerides ; lipid fluidity ; Life Sciences ; Molecular Cell Biology
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Biology , Chemistry and Pharmacology , Medicine
    Notes: In order to gain direct evidence for lipid-dependent protein conformation in membrane, effects of modification of lipid composition on mobility of spin-labeled cysteine residues were investigated in the plasma membrane of the yeast Saccharomyces cerevisiae. Conversion of the bulk of phospholipids to diglycerides by treatment of the membrane with phospholipase C substantially enhanced spectral anisotropy. However, alteration of the viscosity of the lipid-bilayer by enriching the membrane with palmitelaidic or oleic acid had no effect on mobility of spin-labeled cysteine residues. These observations indicate that while the spin-labeled residues are not in direct contact with the lipid core of the membrane, there are lipid-protein interactions to the extent that removal of polar portion of the bulk of phospholipids induces conformational changes in proteins, which in turn restrict mobility of these residues. It is concluded that conformation of membrane proteins depends on lipid structure and that phospholipids have a role in preserving the native conformation of proteins.
    Additional Material: 4 Ill.
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