Počet záznamů: 1

A reliable incremental method of computing the limit load in deformation plasticity based on compliance: Continuous and discrete setting

  1. 1.
    0465662 - UGN-S 2017 RIV NL eng J - Článek v odborném periodiku
    Haslinger, Jaroslav - Repin, S. - Sysala, Stanislav
    A reliable incremental method of computing the limit load in deformation plasticity based on compliance: Continuous and discrete setting.
    Journal of Computational and Applied Mathematics. Roč. 303, September 2016 (2016), s. 156-170 ISSN 0377-0427
    Grant CEP: GA MŠk LQ1602; GA ČR GA13-18652S
    Institucionální podpora: RVO:68145535
    Klíčová slova: variational problems with linear growth energy * incremental limit analysis * elastic-perfectly plastic problems * finite element approximation
    Kód oboru RIV: BA - Obecná matematika
    Impakt faktor: 1.328, rok: 2015
    http://www.sciencedirect.com/science/article/pii/S0377042716300917

    The aim of this paper is to introduce an enhanced incremental procedure that can be used for the numerical evaluation and reliable estimation of the limit load. A conventional incremental method of limit analysis is based on parametrization of the respective variational formulation by the loading parameter ζ∈(0,ζlim)ζ∈(0,ζlim), where ζlimζlim is generally unknown. The enhanced incremental procedure is operated in terms of an inverse mapping ψ:α↦ζψ:α↦ζ where the parameter αα belongs to (0,+∞)(0,+∞) and its physical meaning is work of applied forces at the equilibrium state. The function ψψ is continuous, nondecreasing and its values tend to ζlimζlim as α→+∞α→+∞. Reduction of the problem to a finite element subspace associated with a mesh ThTh generates the discrete limit parameter ζlim,hζlim,h and the discrete counterpart ψhψh to the function ψψ. We prove pointwise convergence ψh→ψψh→ψ and specify a class of yield functions for which ζlim,h→ζlimζlim,h→ζlim. These convergence results enable to find reliable lower and upper bounds of ζlimζlim. Numerical tests confirm computational efficiency of the suggested method.
    Trvalý link: http://hdl.handle.net/11104/0264110
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