Number of the records: 1
A reliable incremental method of computing the limit load in deformation plasticity based on compliance: Continuous and discrete setting
- 1.
SYSNO ASEP 0465662 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title A reliable incremental method of computing the limit load in deformation plasticity based on compliance: Continuous and discrete setting Author(s) Haslinger, Jaroslav (UGN-S)
Repin, S. (RU)
Sysala, Stanislav (UGN-S) RID, ORCIDNumber of authors 3 Source Title Journal of Computational and Applied Mathematics. - : Elsevier - ISSN 0377-0427
Roč. 303, September 2016 (2016), s. 156-170Number of pages 15 s. Publication form Online - E Language eng - English Country NL - Netherlands Keywords variational problems with linear growth energy ; incremental limit analysis ; elastic-perfectly plastic problems ; finite element approximation Subject RIV BA - General Mathematics R&D Projects LQ1602 GA MŠMT - Ministry of Education, Youth and Sports (MEYS) GA13-18652S GA ČR - Czech Science Foundation (CSF) Institutional support UGN-S - RVO:68145535 UT WOS 000375177500013 EID SCOPUS 84961783214 DOI 10.1016/j.cam.2016.02.035 Annotation 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. Workplace Institute of Geonics Contact Lucie Gurková, lucie.gurkova@ugn.cas.cz, Tel.: 596 979 354 Year of Publishing 2017 Electronic address http://www.sciencedirect.com/science/article/pii/S0377042716300917
Number of the records: 1