About: Numerical Approaches to Thermally Coupled Perfect Plasticity

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An Entity of Type : http://linked.opendata.cz/ontology/domain/vavai/Vysledek, within Data Space : linked.opendata.cz associated with source document(s)

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
rdfs:seeAlso	http://dx.doi.org/10.1002/num.21779
Description	The partial differential equations describing viscoelastic solids in Kelvin-Voigt rheology at small strains exhibiting also stress-driven Prandtl-Reuss perfect plasticity are considered and are coupled with a heat-transfer equation through the dissipative heat produced by viscoplastic effects and through thermal expansion and corresponding adiabatic effects. Numerical discretization of the resulting thermodynamically consistent model is proposed by implicit time discretization, suitable regularization, and finite elements in space. Numerical stability is shown and computational simulations are reported to illustrate the practical performance of the method. In a quasistatic case, convergence is proved by careful successive limit passage. (c) 2013 Wiley Periodicals, Inc. The partial differential equations describing viscoelastic solids in Kelvin-Voigt rheology at small strains exhibiting also stress-driven Prandtl-Reuss perfect plasticity are considered and are coupled with a heat-transfer equation through the dissipative heat produced by viscoplastic effects and through thermal expansion and corresponding adiabatic effects. Numerical discretization of the resulting thermodynamically consistent model is proposed by implicit time discretization, suitable regularization, and finite elements in space. Numerical stability is shown and computational simulations are reported to illustrate the practical performance of the method. In a quasistatic case, convergence is proved by careful successive limit passage. (c) 2013 Wiley Periodicals, Inc. (en)
Title	Numerical Approaches to Thermally Coupled Perfect Plasticity Numerical Approaches to Thermally Coupled Perfect Plasticity (en)
skos:prefLabel	Numerical Approaches to Thermally Coupled Perfect Plasticity Numerical Approaches to Thermally Coupled Perfect Plasticity (en)
skos:notation	RIV/00216208:11320/13:10172805!RIV14-GA0-11320___
http://linked.open...avai/predkladatel	Matematicko-fyzikální fakulta
http://linked.open...avai/riv/aktivita	I P
http://linked.open...avai/riv/aktivity	I, P(GA201/09/0917), P(GAP201/10/0357), P(IAA100750802), P(LC06052)
http://linked.open...iv/cisloPeriodika	6
http://linked.open...vai/riv/dodaniDat	2014
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	Univerzita Karlova v Praze / Matematicko-fyzikální fakulta
http://linked.open...dnocenehoVysledku	92525
http://linked.open...ai/riv/idVysledku	RIV/00216208:11320/13:10172805
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	convergence; finite elements; bounded deformations; adiabatic effects; thermal expansion; Kelvin-Voigt rheology; Prandtl-Reuss plasticity; thermodynamics (en)
http://linked.open.../riv/klicoveSlovo	Kelvin-Voigt rheology convergence thermal expansion thermodynamics finite elements Prandtl-Reuss plasticity adiabatic effects bounded deformations
http://linked.open...odStatuVydavatele	US - Spojené státy americké
http://linked.open...ontrolniKodProRIV	[9214C2AA423C]
http://linked.open...i/riv/nazevZdroje	Numerical Methods for Partial Differential Equations
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	2 (xsd:int)
http://linked.open...vavai/riv/projekt	Mathematical and computer analysis of the evolution processes in nonlinear viscoelastic fluid-like materials The Nečas Center for Mathematical Modeling Modern mathematical and computational models for inelastic processes in solids Nonsmooth and set-valued analysis in mechanics and thermomechanics
http://linked.open...UplatneniVysledku	2013
http://linked.open...v/svazekPeriodika	29
http://linked.open...iv/tvurceVysledku	Roubíček, Tomáš Bartels, Soeren
http://linked.open...ain/vavai/riv/wos	000325088100003
issn	0749-159X
number of pages	27 (xsd:int)
http://bibframe.org/vocab/doi	10.1002/num.21779
http://localhost/t...ganizacniJednotka	11320

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