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Thermodynamic approach to generalized continua |
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| Authors: | Peter Ván Arkadi Berezovski Christina Papenfuss |
| Affiliation: | 1. Department of Theoretical Physics, Wigner RCP, HAS, Konkoly Thege Miklós út 29-33., 1121, Budapest, Hungary 2. Department of Energy Engineering, Budapest University of Technology and Economics, Bertalan Lajos u. 4-6, 1111, Budapest, Hungary 3. Montavid Thermodynamic Research Group, Budapest, Hungary 4. Centre for Nonlinear Studies, Institute of Cybernetics, Tallinn University of Technology, Akadeemia tee 21, 12618, Tallinn, Estonia 5. Technical University of Berlin, Strasse des 17. Juni 135, 10623, Berlin, Germany |
| Abstract: | 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. |
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