Variational and reciprocal principles in thermoelasticity without energy dissipation. (English) Zbl 0946.74017
Summary: Using the linear theory of thermoelasticity without energy dissipation for homogeneous and isotropic materials, we derive variational principles of Biot and Hamilton types, and a reciprocal principle of Betti-Rayleigh type.
MSC:
74F05 | Thermal effects in solid mechanics |
74B05 | Classical linear elasticity |
49S05 | Variational principles of physics |
70H25 | Hamilton’s principle |
Keywords:
Green-Naghdi generalized thermoelasticity theory; variational principle of Biot type; Hamilton’s principle; reciprocal principle of Betti-Rayleigh typeReferences:
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