# Thermo-visco-elasticity with rate-independent plasticity in isotropic materials undergoing thermal expansion*

ESAIM: Mathematical Modelling and Numerical Analysis (2011)

- Volume: 45, Issue: 3, page 477-504
- ISSN: 0764-583X

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topBartels, Sören, and Roubíček, Tomáš. "Thermo-visco-elasticity with rate-independent plasticity in isotropic materials undergoing thermal expansion*." ESAIM: Mathematical Modelling and Numerical Analysis 45.3 (2011): 477-504. <http://eudml.org/doc/197418>.

@article{Bartels2011,

abstract = {
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.
},

author = {Bartels, Sören, Roubíček, Tomáš},

journal = {ESAIM: Mathematical Modelling and Numerical Analysis},

keywords = {Thermodynamics of plasticity; Kelvin-Voigt rheology;
hardening; thermal expansion; adiabatic effects; finite element method;
implicit time discretization; convergence; thermodynamics of plasticity; hardening; implicit time discretization},

language = {eng},

month = {1},

number = {3},

pages = {477-504},

publisher = {EDP Sciences},

title = {Thermo-visco-elasticity with rate-independent plasticity in isotropic materials undergoing thermal expansion*},

url = {http://eudml.org/doc/197418},

volume = {45},

year = {2011},

}

TY - JOUR

AU - Bartels, Sören

AU - Roubíček, Tomáš

TI - Thermo-visco-elasticity with rate-independent plasticity in isotropic materials undergoing thermal expansion*

JO - ESAIM: Mathematical Modelling and Numerical Analysis

DA - 2011/1//

PB - EDP Sciences

VL - 45

IS - 3

SP - 477

EP - 504

AB -
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.

LA - eng

KW - Thermodynamics of plasticity; Kelvin-Voigt rheology;
hardening; thermal expansion; adiabatic effects; finite element method;
implicit time discretization; convergence; thermodynamics of plasticity; hardening; implicit time discretization

UR - http://eudml.org/doc/197418

ER -

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