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Mathematics and Mechanics of Solids
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A Characterization of Internally Constrained Thermoelastic Materials

J. Casey

S. Krishnaswamy

Department of Mechanical Engineering, University of California at Berkeley, Berkeley, CA 94720

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.

Mathematics and Mechanics of Solids, Vol. 3, No. 1, 71-89 (1998)
DOI: 10.1177/108128659800300105
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