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Description
  • The d-dimensional thermo-visco-elasticity system for Kelvin-Voigt-type materials at small strains with a general nonlinear coupling is considered. Thermodynamical consistency leads to a heat capacity dependent both on temperature and on the strain. Using higher-gradient theory, namely the concept of so-called second-grade non-simple materials (or of hyper-stresses), existence of a weak solution to a system arising after an enthalpy-type transformation is proved by a suitably regularized Rothe method, fine a-priori estimates for the temperature gradient performed for the coupled system, and a subsequent limit passage.
  • The d-dimensional thermo-visco-elasticity system for Kelvin-Voigt-type materials at small strains with a general nonlinear coupling is considered. Thermodynamical consistency leads to a heat capacity dependent both on temperature and on the strain. Using higher-gradient theory, namely the concept of so-called second-grade non-simple materials (or of hyper-stresses), existence of a weak solution to a system arising after an enthalpy-type transformation is proved by a suitably regularized Rothe method, fine a-priori estimates for the temperature gradient performed for the coupled system, and a subsequent limit passage. (en)
Title
  • Nonlinearly coupled thermo-visco-elasticity
  • Nonlinearly coupled thermo-visco-elasticity (en)
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  • Nonlinearly coupled thermo-visco-elasticity
  • Nonlinearly coupled thermo-visco-elasticity (en)
skos:notation
  • RIV/00216208:11320/13:10172811!RIV14-GA0-11320___
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  • I, P(GA201/09/0917), P(GAP201/10/0357), P(IAA100750802), P(LC06052)
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  • 3
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  • 91984
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  • RIV/00216208:11320/13:10172811
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  • Weak solutions; Nonlinear thermodynamics; Nonsimple materials; Small strains; Kelvin-Voigt rheology (en)
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  • CH - Švýcarská konfederace
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  • [F2C8FCF744D7]
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  • Nonlinear Differential Equations and Applications
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  • 20
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  • Roubíček, Tomáš
http://linked.open...ain/vavai/riv/wos
  • 000319478800039
issn
  • 1021-9722
number of pages
http://bibframe.org/vocab/doi
  • 10.1007/s00030-012-0207-9
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  • 11320
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