Some theorems in temperature-rate-dependent theory of thermoelasticity. (English) Zbl 0542.73005
The paper proves three theorems: Uniqueness of solution basing on the assumption of the positive definiteness of the energy function; a variational principle of Hamilton type for the field equations; a general reciprocal theorem of Betti-Rayleigh type for linearized anisotropic thermoelastic interactions, including as special cases some known theorems of a similar type.
Reviewer: J.L.Nowinski
MSC:
| 74F05 | Thermal effects in solid mechanics |
| 74G30 | Uniqueness of solutions of equilibrium problems in solid mechanics |
| 74H25 | Uniqueness of solutions of dynamical problems in solid mechanics |
| 74B99 | Elastic materials |
| 74H99 | Dynamical problems in solid mechanics |
| 74A15 | Thermodynamics in solid mechanics |
Keywords:
temperature-rate-dependent theory of thermoelasticity; second-sound effect; positive definiteness; energy function; variational principle of Hamilton type; field equations; general reciprocal theorem; Betti- Rayleigh type; linearized anisotropic thermoelastic interactionsReferences:
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