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

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68145535%3A_____%2F16%3A00465662" target="_blank" >RIV/68145535:_____/16:00465662 - isvavai.cz</a>

Nalezeny alternativní kódy

RIV/00216208:11320/16:10330717

Výsledek na webu

<a href="http://www.sciencedirect.com/science/article/pii/S0377042716300917" target="_blank" >http://www.sciencedirect.com/science/article/pii/S0377042716300917</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.cam.2016.02.035" target="_blank" >10.1016/j.cam.2016.02.035</a>

Jazyk výsledku

angličtina

Název v původním jazyce

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

Popis výsledku v původním jazyce

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 ψhψψhψ and specify a class of yield functions for which ζlim,hζlimζlim,hζlim. These convergence results enable to find reliable lower and upper bounds of ζlimζlim. Numerical tests confirm computational efficiency of the suggested method.

Název v anglickém jazyce

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

Popis výsledku anglicky

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 ψhψψhψ and specify a class of yield functions for which ζlim,hζlimζlim,hζlim. These convergence results enable to find reliable lower and upper bounds of ζlimζlim. Numerical tests confirm computational efficiency of the suggested method.

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

BA - Obecná matematika

OECD FORD obor

—

Projekt

Výsledek vznikl pri realizaci vícero projektů. Více informací v záložce Projekty.

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2016

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Journal of Computational and Applied Mathematics

ISSN

0377-0427

e-ISSN

—

Svazek periodika

303

Číslo periodika v rámci svazku

September 2016

Stát vydavatele periodika

NL - Nizozemsko

Počet stran výsledku

15

Strana od-do

156-170

Kód UT WoS článku

000375177500013

EID výsledku v databázi Scopus

2-s2.0-84961783214