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Statements

Subject Item
n2:RIV%2F61388998%3A_____%2F11%3A00359233%21RIV12-AV0-61388998
rdf:type
skos:Concept n12:Vysledek
rdfs:seeAlso
http://www.esaim-m2an.org/action/displayAbstract?fromPage=online&aid=8000268
dcterms:description
We consider a viscoelastic solid in Kelvin-Voigt rheology exhibiting also plasticity with hardening and coupled with heat-transfer through dissipative heat production by viscoplastic effects and through thermal expansion and corresponding adiabatic effects. Numerical discretization of the thermodynamically consistent model is proposed by implicit time discretization, suitable regularization, and finite elements in space. Fine a-priori estimates are derived, and convergence is proved by careful successive limit passage. Computational 3D simulations illustrate an implementation of the method as well as physical effects of residual stresses substantially depending on rate of heat treatment. We consider a viscoelastic solid in Kelvin-Voigt rheology exhibiting also plasticity with hardening and coupled with heat-transfer through dissipative heat production by viscoplastic effects and through thermal expansion and corresponding adiabatic effects. Numerical discretization of the thermodynamically consistent model is proposed by implicit time discretization, suitable regularization, and finite elements in space. Fine a-priori estimates are derived, and convergence is proved by careful successive limit passage. Computational 3D simulations illustrate an implementation of the method as well as physical effects of residual stresses substantially depending on rate of heat treatment.
dcterms:title
Thermo-visco-elasticity with rate-independent plasticity in isotropic materials undergoing thermal expansion Thermo-visco-elasticity with rate-independent plasticity in isotropic materials undergoing thermal expansion
skos:prefLabel
Thermo-visco-elasticity with rate-independent plasticity in isotropic materials undergoing thermal expansion Thermo-visco-elasticity with rate-independent plasticity in isotropic materials undergoing thermal expansion
skos:notation
RIV/61388998:_____/11:00359233!RIV12-AV0-61388998
n12:predkladatel
n16:ico%3A61388998
n3:aktivita
n9:Z n9:P
n3:aktivity
P(GA106/09/1573), P(GA201/09/0917), P(GAP201/10/0357), P(IAA100750802), P(LC06052), Z(AV0Z20760514), Z(MSM0021620839)
n3:cisloPeriodika
3
n3:dodaniDat
n15:2012
n3:domaciTvurceVysledku
n17:1483978
n3:druhVysledku
n20:J
n3:duvernostUdaju
n5:S
n3:entitaPredkladatele
n19:predkladatel
n3:idSjednocenehoVysledku
235241
n3:idVysledku
RIV/61388998:_____/11:00359233
n3:jazykVysledku
n18:eng
n3:klicovaSlova
thermodynamics of plasticity; kelvin-voigt rheology; hardening
n3:klicoveSlovo
n8:thermodynamics%20of%20plasticity n8:hardening n8:kelvin-voigt%20rheology
n3:kodStatuVydavatele
GB - Spojené království Velké Británie a Severního Irska
n3:kontrolniKodProRIV
[8AFD77E26DE4]
n3:nazevZdroje
E S A I M: Mathematical Modelling and Numerical Analysis
n3:obor
n13:BA
n3:pocetDomacichTvurcuVysledku
1
n3:pocetTvurcuVysledku
2
n3:projekt
n7:LC06052 n7:GA201%2F09%2F0917 n7:GA106%2F09%2F1573 n7:GAP201%2F10%2F0357 n7:IAA100750802
n3:rokUplatneniVysledku
n15:2011
n3:svazekPeriodika
45
n3:tvurceVysledku
Bartels, S. Roubíček, Tomáš
n3:wos
000289622800004
n3:zamer
n14:AV0Z20760514 n14:MSM0021620839
s:issn
0764-583X
s:numberOfPages
28
n4:doi
10.1051/m2an/2010063