"1"^^ . . "Nonlinearly coupled thermo-visco-elasticity" . . "1021-9722" . "000319478800039" . . . . . . "http://dx.doi.org/10.1007/s00030-012-0207-9" . "Weak solutions; Nonlinear thermodynamics; Nonsimple materials; Small strains; Kelvin-Voigt rheology"@en . . "11320" . "CH - \u0160v\u00FDcarsk\u00E1 konfederace" . . "Roub\u00ED\u010Dek, Tom\u00E1\u0161" . . "[F2C8FCF744D7]" . . "Nonlinearly coupled thermo-visco-elasticity"@en . "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." . . "Nonlinear Differential Equations and Applications" . "3" . "Nonlinearly coupled thermo-visco-elasticity" . "Nonlinearly coupled thermo-visco-elasticity"@en . "RIV/00216208:11320/13:10172811" . . . "RIV/00216208:11320/13:10172811!RIV14-GA0-11320___" . . "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 . . "20" . . . "10.1007/s00030-012-0207-9" . "I, P(GA201/09/0917), P(GAP201/10/0357), P(IAA100750802), P(LC06052)" . . . "91984" . "33"^^ . . . "1"^^ .