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  • 1
    Electronic Resource
    Electronic Resource
    Multi-scale modeling of heterogeneous structures with inelastic constitutive behaviour: Part I - physical and mathematical aspects (2005)
    Bradford : Emerald
    Engineering computations 22 (2005), S. 664-683 
    Details
    ISSN: 0264-4401
    Source: Emerald Fulltext Archive Database 1994-2005
    Topics: Technology
    Notes: Purpose - To provide a computational strategy for highly accurate analyses of non-linear inelastic behaviour for heterogeneous structures in civil and mechanical engineering applications Design/methodology/approach - Adapts recent developments on mathematical formulations of multi-scale problems to the recently developed component technology based on C++ generic templates programming. Findings - Provides the understanding how theoretical hypotheses, concerning essentially the multi-scale interface conditions, affect the computational precision of the strategy. Practical implications - The present approach allows a very precise modelling of multi-scale aspects in structural mechanics problems and can play an essential tool in searching for an optimal structural design. Originality/value - Provides all the ingredients for constructing an efficient multi-scale computational framework, from the theoretical formulation to the implementation for parallel computing. It is addressed to researchers and engineers analysing composite structures under extreme loading.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1108/02644400510603050
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    The solution of nonlinear finite element equations (1979)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 14 (1979), S. 1613-1626 
    Details
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    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.
    Additional Material: 1 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/nme.1620141104
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    Paper (German National Licenses)
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  • 3
    Electronic Resource
    Electronic Resource
    A decomposition method for the integration of the elastic-plastic rate problem (1989)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 28 (1989), S. 1-11 
    Details
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: The numerical integration of the rate equation of an elastic-plastic material is considered. Special attention is focused on the discretization via the fully implicit backward Euler method in the small strain case with linear elasticity and the yield function a general quadratic in stress space. Here the calculation of the plastic (Lagrange) multiplier reduces to the computation of the smallest positive root of a polynomial in one variable. Explicit formulae are given for some special cases.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/nme.1620280103
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    Paper (German National Licenses)
    Fulltext
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