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  • 1
    Electronic Resource
    Electronic Resource
    A simple local a posteriori bending indicator for axisymmetric membrane and bending shell elements (1998)
    Bradford : Emerald
    Engineering computations 15 (1998), S. 977-988 
    Details
    ISSN: 0264-4401
    Source: Emerald Fulltext Archive Database 1994-2005
    Topics: Technology
    Notes: Several mechanical models can be employed for the analysis of thin walled structures. A bending indicator is developed for a nonlinear adaptive process and applied to thin walled axisymmetric shell problems incorporating membrane and bending elements. If the structural response of the model including bending is available the error made by the reduced membrane model is easy to evaluate. Thus an indication for the bending has to be found from the structural response of the reduced membrane model. This is done by an approximation of the rotations of the membrane part of the structure and by an evaluation of the bending energy leading to the bending indicator with these approximated rotations. Finally a criterion for the change of the models is proposed based on the bending indicator and some examples are presented.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1108/02644409810236948
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Consistent gradient formulation for a stable enhanced strain method for large deformations (1996)
    Bradford : Emerald
    Engineering computations 13 (1996), S. 103-123 
    Details
    ISSN: 0264-4401
    Source: Emerald Fulltext Archive Database 1994-2005
    Topics: Technology
    Notes: Considers the problem of stability of the enhanced strain elements in the presence of large deformations. The standard orthogonality condition between the enhanced strains and constant stresses ensures satisfaction of the patch test and convergence of the method in case of linear elasticity. However, this does not hold in the case of large deformations. By analytic derivation of the element eigenvalues in large strain states additional orthogonality conditions can be derived, leading to a stable formulation, regardless of the magnitude of deformations. Proposes a new element based on a consistent formulation of the enhanced gradient with respect to new orthogonality conditions which it retains with four enhanced modes volumetric and shear locking free behaviour of the original formulation and does not exhibit hour-glassing for large deformations.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1108/02644409610111001
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  • 3
    Electronic Resource
    Electronic Resource
    Wear Simulation Based on Node-to-Segment Element (2004)
    s.l. ; Stafa-Zurich, Switzerland
    Key engineering materials Vol. 274-276 (Oct. 2004), p. 577-582 
    Details
    ISSN: 1013-9826
    Source: Scientific.Net: Materials Science & Technology / Trans Tech Publications Archiv 1984-2008
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Type of Medium: Electronic Resource
    URL: http://www.tib-hannover.de/fulltexts/2011/0528/01/48/transtech_doi~10.4028%252Fwww.scientific.net%252FKEM.274-276.577.pdf
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  • 4
    Electronic Resource
    Electronic Resource
    A Computational Model for Interfacial Damage Through Microstructural Cohesive Zone Relaxation (2000)
    Springer
    International journal of fracture 101 (2000), S. 9-14 
    Details
    ISSN: 1573-2673
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract A model introducing cohesive zones around material interfaces to simulate interfacial damage in microheterogeneous materials is developed. The material behavior within the cohesive zones is unknown a-priori, and is weakened, or "relaxed", on the continuum level from an initially undamaged state, by a reduction of the spatially variable elasticity tensor's eigenvalues. This reduction is initiated if constraints placed on the microstress fields, for example critical levels of pressure or deviatoric stresses, are violated. Outside of the cohesive zones the material is unaltered. Numerical computations are performed, employing the finite element method, to illustrate the approach in three dimensional applications.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1007637128498
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  • 5
    Electronic Resource
    Electronic Resource
    On the incompressible constraint of the 4-node quadrilateral element (1995)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 38 (1995), S. 3039-3053 
    Details
    ISSN: 0029-5981
    Keywords: incompressibility ; quadrilateral element ; underintegration ; locking-effect ; Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: The standard plane 4-node element is written as the summation of a constant gradient matrix, usually obtained from underintegration, and a stabilization matrix. The split is based on a Taylor series expansion of element basis functions. In the incompressible limit, the ‘locking’-effect of the quadrilateral is traced back to the stabilization matrix which reflects the incomplete higher-order term in the Taylor series.The incompressibility condition is formulated in a weak sense so that the element displacement field is divergence-free when integrated over the element volume. The resulting algebraic constraint is shown to coincide with a particular eigenvector of the constant gradient matrix which is obtained from the first-order terms of the Taylor series. The corresponding eigenvalue enforces incompressibility implicitly by means of a penalty-constraint. Analytical expressions for that constant-dilatation eigenpair are derived for arbitrary element geometries. It is shown how the incompressible constraint carries over to the element stiffness matrix if the element stabilization is performed in a particular manner.For several classical and recent elements, the eigensystems are analysed numerically. It is shown that most of the formulations reflect the incompressible constraint identically. In the incompressible limit, the numerical accuracies of the elements are compared.
    Additional Material: 4 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/nme.1620381803
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  • 6
    Electronic Resource
    Electronic Resource
    A formulation for the 4-node quadrilateral element (1995)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 38 (1995), S. 3007-3037 
    Details
    ISSN: 0029-5981
    Keywords: quadrilateral ; incompatible modes ; underintegration ; stabilization matrix ; Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: A formulation for the plane 4-node quadrilateral finite element is developed based on the principle of virtual displacements for a deformable body. Incompatible modes are added to the standard displacement field. Then expressions for gradient operators are obtained from an expansion of the basis functions into a second-order Taylor series in the physical co-ordinates. The internal degrees of freedom of the incompatible modes are eliminated on the element level. A modified change of variables is used to integrate the element matrices.For a linear elastic material, the element stiffness matrix can be separated into two parts. These are equivalent to a stiffness matrix obtained from underintegration and a stabilization matrix.The formulation includes the cases of plane stress and plane strain as well as the analysis of incompressible materials. Further, the approach is suitable for non-linear analysis. There, an application is given for the calculation of inelastic problems in physically non-linear elasticity.The element is efficient to implement and it is frame invariant. Locking effects and zero-energy modes are avoided as well as singularities of the stiffness matrix due to geometric distortion. A high accuracy is obtained for numerical solutions in displacements and stresses.
    Additional Material: 9 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/nme.1620381802
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  • 7
    Electronic Resource
    Electronic Resource
    IMPROVED ENHANCED STRAIN FOUR-NODE ELEMENT WITH TAYLOR EXPANSION OF THE SHAPE FUNCTIONS (1997)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 40 (1997), S. 407-421 
    Details
    ISSN: 0029-5981
    Keywords: finite element method ; enhanced strain method ; symbolic integration ; Engineering ; Numerical Methods and Modeling
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: A class of enhanced strain four-node elements with Taylor expansion of the shape function derivatives is presented. A new concept of enhancement using besides the ‘standard’ enhanced strain fields also two other enhanced fields is developed on the basis of the Hu-Washizu principle. For first-order Taylor expansion enhanced modes become uncoupled, thus only a negligible amount of computing effort for the static condensation of enhanced modes is needed. Furthermore, the formulation permits a symbolic integration, which leads to a closed-form solution for the element tangent matrix. Several numerical examples show that the element is stable, invariant, passes the patch test and yields good results especially in the highly distorted regime. © 1997 by John Wiley & Sons, Ltd.
    Additional Material: 11 Ill.
    Type of Medium: Electronic Resource
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    Paper (German National Licenses)
  • 8
    Electronic Resource
    Electronic Resource
    A note on the optimum choice for penalty parameters (1987)
    New York, NY [u.a.] : Wiley-Blackwell
    Communications in Applied Numerical Methods 3 (1987), S. 581-585 
    Details
    ISSN: 0748-8025
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: This paper looks at the numerical characteristics of penalty methods for evaluating the solution of symmetric systems of equations with imposed constraints. The sources of error resulting from this approach are identified and an estimate for the penalty parameter that minimizes this error is obtained. The results of the error analysis and the effect of penalty parameter on the accuracy and rates of convergence of the solution algorithm are demonstrated with the aid of some numerical examples.
    Additional Material: 3 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/cnm.1630030620
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  • 9
    Book
    Book
    Mixed finite element technologies /; 509 (2009)
    Wien [u.a.] :Springer,
    Details
    Title: Mixed finite element technologies /; 509
    Contributer: Carstensen, Carsten , Wriggers, Peter
    Publisher: Wien [u.a.] :Springer,
    Year of publication: 2009
    Pages: 206 S. : , Ill., graph. Darst.
    Series Statement: International Centre for Mechanical Sciences courses and lectures 509
    ISBN: 978-3-211-99092-6
    Type of Medium: Book
    Language: English
    URL: lizenzfrei
    URL: 01  (lizenzfrei)
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