About: Quasi-static small-strain plasticity in the limit of vanishing hardening and its numerical approximation

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About: Quasi-static small-strain plasticity in the limit of vanishing hardening and its numerical approximation Goto Sponge NotDistinct Permalink

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	The quasistatic rate-independent evolution of the Prager-Ziegler-type model of linearized plasticity with hardening is shown to converge to the rate-independent evolution of the Prandtl-Reuss elastic/perfectly plastic model. Based on the concept of energetic solutions we study the convergence of the solutions in the limit for hardening coefficients converging to $0$ by using the abstract method of Gamma-convergence for rate-independent systems. An unconditionally convergent numerical scheme is devised and 2D and 3D numerical experiments are presented. A two-sided energy inequality is a posteriori verified to document experimental convergence rates. The quasistatic rate-independent evolution of the Prager-Ziegler-type model of linearized plasticity with hardening is shown to converge to the rate-independent evolution of the Prandtl-Reuss elastic/perfectly plastic model. Based on the concept of energetic solutions we study the convergence of the solutions in the limit for hardening coefficients converging to $0$ by using the abstract method of Gamma-convergence for rate-independent systems. An unconditionally convergent numerical scheme is devised and 2D and 3D numerical experiments are presented. A two-sided energy inequality is a posteriori verified to document experimental convergence rates. (en)
Title	Quasi-static small-strain plasticity in the limit of vanishing hardening and its numerical approximation Quasi-static small-strain plasticity in the limit of vanishing hardening and its numerical approximation (en)
skos:prefLabel	Quasi-static small-strain plasticity in the limit of vanishing hardening and its numerical approximation Quasi-static small-strain plasticity in the limit of vanishing hardening and its numerical approximation (en)
skos:notation	RIV/61388998:_____/12:00376689!RIV13-AV0-61388998
http://linked.open...avai/predkladatel	Ústav termomechaniky AV ČR, v.v.i.
http://linked.open...avai/riv/aktivita	P Z
http://linked.open...avai/riv/aktivity	P(GAP201/10/0357), Z(AV0Z20760514)
http://linked.open...iv/cisloPeriodika	2
http://linked.open...vai/riv/dodaniDat	2013
http://linked.open...aciTvurceVysledku	Roubíček, Tomáš
http://linked.open.../riv/druhVysledku	J - Článek v odborném periodiku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Ústav termomechaniky AV ČR, v. v. i.
http://linked.open...dnocenehoVysledku	163849
http://linked.open...ai/riv/idVysledku	RIV/61388998:_____/12:00376689
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	rate-independent plasticity; hardening; prandtl-reuss elastic (en)
http://linked.open.../riv/klicoveSlovo	hardening prandtl-reuss elastic rate-independent plasticity
http://linked.open...odStatuVydavatele	US - Spojené státy americké
http://linked.open...ontrolniKodProRIV	[D7B731741074]
http://linked.open...i/riv/nazevZdroje	SIAM Journal on Numerical Analysis
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	3 (xsd:int)
http://linked.open...vavai/riv/projekt	Modern mathematical and computational models for inelastic processes in solids
http://linked.open...UplatneniVysledku	2012
http://linked.open...v/svazekPeriodika	50
http://linked.open...iv/tvurceVysledku	Bartels, S. Mielke, A. Roubíček, Tomáš
http://linked.open...ain/vavai/riv/wos	000303398700027
http://linked.open...n/vavai/riv/zamer	Complex dynamical systems in thermodynamics, fluid and solid mechanics
issn	0036-1429
number of pages	26 (xsd:int)
http://bibframe.org/vocab/doi	10.1137/100819205
is http://linked.open...avai/riv/vysledek of	Quasi-static small-strain plasticity in the limit of vanishing hardening and its numerical approximation

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