Thermodynamic approach to generalized continua. (English) Zbl 1341.80002
Contin. Mech. Thermodyn. 26, No. 3, 403-420 (2014); erratum ibid. 26, No. 3, 421–422 (2014).
Summary: Governing equations of dissipative generalized solid mechanics are derived by thermodynamic methods in the Piola-Kirchhoff framework using the Liu procedure. The isotropic small-strain case is investigated in more detail. The connection to the Ginzburg-Landau type evolution, dual internal variables, and a thermodynamic generalization of the standard linear solid model of rheology is demonstrated. Specific examples are chosen to emphasize experimental confirmations and predictions beyond less general approaches.
MSC:
| 80A05 | Foundations of thermodynamics and heat transfer |
| 80A10 | Classical and relativistic thermodynamics |
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