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SUMMARY:Rufat Badal (University of Erlangen)
DTSTART:20220214T144000Z
DTEND:20220214T161000Z
DTSTAMP:20260405T174646Z
UID:NSCM/70
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/NSCM/70/">No
 nlinear and Linearized Models in Thermoviscoelasticity</a>\nby Rufat Badal
  (University of Erlangen) as part of Nečas Seminar on Continuum Mechanics
 \n\n\nAbstract\nWe consider a quasistatic nonlinear model in thermoviscoel
 asticity at a finite-strain setting in the Kelvin’s-Voigt’s rheology w
 here both the elastic and viscous stress tensors comply with the principle
  of frame indifference under rotations. The force balance is formulated in
  the reference configuration by resorting to the concept of nonsimple mate
 rials whereas the heat transfer equation is modeled by the Fourier law in 
 the deformed configurations. Weak solutions are obtained by means of a sta
 ggered in-time discretization where the deformation and the temperature ar
 e updated alternatingly. Our result refines a recent work by Mielke & Roub
 íček [1] since our approximation does not require any regularization of 
 the viscosity term. Afterwards\, we focus on the case of deformations near
  the identity and small temperatures\, and we show by a rigorous lineariza
 tion procedure that weak solutions of the nonlinear system converge in a s
 uitable sense to solutions of a system in linearized thermoviscoelasticity
 . The same property holds for time-discrete approximations and we provide 
 a corresponding commutativity result.\n\n[1] Mielke A.\, Roubíček T.: Th
 ermoviscoelasticity in Kelvin-Voigt rheology at large strains. (2020)\n
LOCATION:https://researchseminars.org/talk/NSCM/70/
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