The Entropy Rate Admissibility Criterion in Thermoelasticity.
BROWN UNIV PROVIDENCE R I DIV OF APPLIED MATHEMATICS
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The initial value problem for the dynamical equations of elasticity and thermoelasticity is not well posed in the class of smooth motions so that an existence theory in the large can be established only for thermodynamic processes with shock waves. On the other hand, in this class of processes there is no uniqueness of solutions. It is shown in the report that, by visualizing a thermoelastic material as the limit of a family of thermoviscoelastic materials of the Maxwell type, one obtains a shock admissibility criterion, the viscosity criterion.
- Solid State Physics