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A characterization of internally constrained thermoelastic materials. (English) Zbl 1001.74552
Summary: A new and more primitive treatment of internal constraints for thermoelastic materials is presented. Integrable strain-temperature constraints are considered and are used to define an equivalence relation on the set of unconstrained thermoelastic materials. A unique constrained material is associated with each equivalence class of unconstrained materials. The properties of the constrained material are inherited from the unconstrained materials belonging to its corresponding equivalence class.

MSC:
74F05 Thermal effects in solid mechanics
74B99 Elastic materials
74A15 Thermodynamics in solid mechanics
74A20 Theory of constitutive functions in solid mechanics
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