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  • 1
    Electronic Resource
    Electronic Resource
    Enhanced lower-order element formulations for large strains (1995)
    Springer
    Computational mechanics 17 (1995), S. 62-73 
    Details
    ISSN: 1432-0924
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract The paper describes a range of lower-order element formulations that can be applied to both elastic and elasto-plastic large-strain elements. For plane-strain analysis, this process involves four-noded quadrilaterals while the enhancements involve incompatible modes or enhanced strains. One particular new formulation can be considered as either a “co-rotational approach” or a modified form of “Biot stress procedure”.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00356479
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Enhanced lower-order element formulations for large strains (1995)
    Springer
    Computational mechanics 17 (1995), S. 62-73 
    Details
    ISSN: 1432-0924
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract  The paper describes a range of lower-order element formulations that can be applied to both elastic and elasto-plastic large-strain elements. For plane-strain analysis, this process involves four-noded quadrilaterals while the enhancements involve incompatible modes or enhanced strains. One particular new formulation can be considered as either a “co-rotational approach” or a modified form of “Biot stress procedure”.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00356479
    Library Location Call Number Volume/Issue/Year Availability
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    Paper (German National Licenses)
    Fulltext
  • 3
    Electronic Resource
    Electronic Resource
    Dynamics of 3-D co-rotational beams (1997)
    Springer
    Computational mechanics 20 (1997), S. 507-519 
    Details
    ISSN: 1432-0924
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract This paper discusses different types of implicit time integration algorithms for the dynamics of spatial beams. The algorithms are based on a form of co-rotational technique which is external to the element. Both end-point and mid-point formulations are presented. The latter can be considered as an `approximately energy conserving algorithm'. A new method is described for introducing numerical damping. Finally some numerical examples are presented in order to illustrate the differences in performance of the different integration schemes.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/s004660050271
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    Paper (German National Licenses)
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  • 4
    Electronic Resource
    Electronic Resource
    An energy conserving co-rotational procedure for non-linear dynamics with finite elements (1996)
    Springer
    Nonlinear dynamics 9 (1996), S. 37-52 
    Details
    ISSN: 1573-269X
    Keywords: Finite elements ; time-integration ; energy
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract A new procedure is proposed for implicit dynamic analysis using the finite element method. The main aim is to give stable solutions with large time-steps in the presence of significant rigid body motions, in particular rotations. In contrast to most conventional approaches, the time integration strategy is closely linked to the “element technology” with the latter involving a form of co-rotational procedure. For the undamped situation, the solution procedure leads to an algorithm that exactly conserves energy when constant external forces are applied (i.e. with gravity loading).
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01833292
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    Paper (German National Licenses)
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  • 5
    Electronic Resource
    Electronic Resource
    Combining arc-length control and line searches in path following (1995)
    Chichester : Wiley-Blackwell
    Communications in Numerical Methods in Engineering 11 (1995), S. 793-803 
    Details
    ISSN: 1069-8299
    Keywords: arc-length control ; line search ; path-following ; Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: When solving non-linear algebraic equations resulting from a typical finite element discretization it is quite common that the popular Newton-Raphson iteration fails to converge or requires an excessive number of iterations. To solve this problem, line searches have been proposed in conjunction with load control and quadratic arc-length control, which has proved to be highly successful. In the paper we first review a number of the most popular arc-length controls. Then we highlight the severe drawbacks associated with the coupling of the cylindrical arc-length control and line searches. Next, various other forms of arc-length controls are scrutinized in the light of this coupling. It is shown that for some of the arc-length controls such a combination is extremely simple and straightforward, yet at the same time efficient and effective. For the rest the same complications incurred for the cylindrical arc-length method remain.
    Additional Material: 5 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/cnm.1640111003
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  • 6
    Electronic Resource
    Electronic Resource
    A consistent co-rotational formulation for shells using the constant stress/constant moment triangle (1992)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 35 (1992), S. 1829-1847 
    Details
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: The simplest facet-shell formulation involves the combination of the constant-strain membrane triangle with a constant-curvature bending triangle. The paper describes a technique whereby this facet-formulation is extended to handle geometric non-linearity by means of a co-rotational procedure. Emphasis is placed on the derivation of a technique that is increment-independent with both the internal force vector and tangent stiffness matrix being derived from the 'total strain measures' in a 'consistent manner'. Numerical examples are presented which demonstrate an excellent numerical performance.
    Additional Material: 7 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/nme.1620350907
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    Paper (German National Licenses)
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  • 7
    Electronic Resource
    Electronic Resource
    Numerical integration strategy for plates and shells (1990)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 29 (1990), S. 105-121 
    Details
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: The paper compares the overall performance of a wide range of numerical procedures that can be used to integrate through the thickness of plates and shells. Results are presented for the accuracy of the calculations when there are discontinuities in the stress through the depth of the plate, and the available methods are ranked according to their accuracy.
    Additional Material: 5 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/nme.1620290108
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    Paper (German National Licenses)
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  • 8
    Electronic Resource
    Electronic Resource
    An iterative improvement for non-conforming bending elementsCrown copyright. Any views expressed in this article are not necessarily those of the Department of the Environment. Extracts from the text may be reproduced, except for commercial purposes, provided the source is acknowledged. This is the first publication of this article but since the author is a British Civil Servant his work is covered by Crown copyright. Reproduced by permission of Her Britannic Majesty's Stationery Office. (1975)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 9 (1975), S. 641-648 
    Details
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: A method is described whereby the formulation for non-conforming bending elements includes the work dissipated across the inter-element boundaries. For the examples considered, this correction is shown to lead to a significant improvement in accuracy at little extra cost. Since the solution procedure is based on an iterative technique, the method would be particularly suitable if applied to non-linear problems.
    Additional Material: 2 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/nme.1620090311
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    Paper (German National Licenses)
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  • 9
    Electronic Resource
    Electronic Resource
    Snap-through and snap-back response in concrete structures and the dangers of under-integration (1986)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 22 (1986), S. 751-767 
    Details
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: Snap-through and snap-back responses are usually associated with the buckling of shells. However, it is shown in this paper that they can also be expected with the cracking of concrete structures. It is also demonstrated that, for such structures, the common use of 2 × 2 Gaussian integration with the 8-noded isoparametric element can lead to spurious responses associated with ‘truncated hour-glass modes’.
    Additional Material: 18 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/nme.1620220314
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  • 10
    Electronic Resource
    Electronic Resource
    Letters to the editor (1982)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 18 (1982), S. 1260-1263 
    Details
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/nme.1620180813
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    Paper (German National Licenses)
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