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  • 1
    Electronic Resource
    Electronic Resource
    A method for solving algebraic systems consisting of linear and nonlinear equations (1985)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 21 (1985), S. 1577-1581 
    Details
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: An efficient method for solving algebraic equations is given. The linear equations are solved only once and iterations are performed on the non linear equations. If an initial approximation to a desired root is available, then it is utilized in the solution process. Results of some computational experiments are given.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/nme.1620210903
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Effect of the coupling between stretching and bending in the large displacement analysis of plates (1990)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 30 (1990), S. 1233-1262 
    Details
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: The effect of the rotary inertia on the non-linear dynamics of plates that undergo a large reference displacement is examined in this paper. An assumed displacement field that accounts for the coupling between the stretching and bending of the plate as the result of considering the effect of the rotary inertia is used to identify the configuration of the plate. Furthermore, the coupling between the stretching and bending of the plate as the result of finite rotation is also considered in this investigation. Based on the assumed displacement field that accounts for the effect of the rotary inertia, a non-linear finite element formulation is developed for the large displacement analysis of plates. The element equations of motion are expressed in terms of a set of element invariants that depend on the assumed displacement field as well as the rotary inertia. The use of the formulation presented in this paper is demonstrated using numerical examples.
    Additional Material: 10 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/nme.1620300703
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  • 3
    Electronic Resource
    Electronic Resource
    The patch test conditions and some multivariable finite element formulations (1997)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 40 (1997), S. 3015-3032 
    Details
    ISSN: 0029-5981
    Keywords: multivariable finite element (MFE) ; convergence ; patch test (PT) ; patch test condition (PTC) ; MFE formulation ; Engineering ; Numerical Methods and Modeling
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: From a unified viewpoint, this article establishes the practical and general constant stress patch test conditions (PTC) for analysing and ensuring convergence or robustness of some multivariable finite element (MFE) formulations, such as hybrid-mixed and incompatible element formulations. The proposed PTC are applied to develop new general MFE formulations which pass PTC and a family of corresponding MFE for stress analysis. Several numerical examples are also given. © 1997 John Wiley & Sons, Ltd.
    Additional Material: 2 Ill.
    Type of Medium: Electronic Resource
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