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Thermoviscoelasticity in Kelvin–Voigt Rheology at Large Strains
- 1.0536079 - ÚT 2021 RIV DE eng J - Journal Article
Mielke, A. - Roubíček, Tomáš
Thermoviscoelasticity in Kelvin–Voigt Rheology at Large Strains.
Archive for Rational Mechanics and Analysis. Roč. 238, č. 1 (2020), s. 1-45. ISSN 0003-9527. E-ISSN 1432-0673
R&D Projects: GA ČR(CZ) GA19-04956S; GA ČR GA18-03834S
Institutional support: RVO:61388998
Keywords : viscoelastic solids * lagrangean description * frame indifferency * heat transfer * existence of solutions
OECD category: Applied mathematics
Impact factor: 2.793, year: 2020
Method of publishing: Open access
https://link.springer.com/article/10.1007/s00205-020-01537-z
The frame-indifferent thermodynamically-consistent model of thermovis-coelasticity at large strain is formulated in the reference configuration with using theconcept of the second-grade nonsimple materials. We focus on physically correct viscousstresses that are frame indifferent under time-dependent rotations. Also elastic stressesare frame indifferent under rotations and respect positivity of thedeterminant of thedeformation gradient. The heat transfer is governed by the Fourier law in the actualdeformed configuration, which leads to a nontrivial description when pulled back into thereference configuration. Existence of weak solution in the quasistatic setting is shown by time discretization.
Permanent Link: http://hdl.handle.net/11104/0314042
Number of the records: 1