Displaying similar documents to “3D monolithic finite element approach for aero-thermics processes in industrial furnaces⋆”

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

Sören Bartels, Tomáš Roubíček (2011)

ESAIM: Mathematical Modelling and Numerical Analysis

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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 estimates are derived, and convergence is proved by...