Accession Number : AD0779888

Title :   The Entropy Rate Admissibility Criterion in Thermoelasticity.

Descriptive Note : Interim rept.,

Corporate Author : BROWN UNIV PROVIDENCE R I DIV OF APPLIED MATHEMATICS

Personal Author(s) : Dafermos,Constantine M.

Report Date : MAY 1974

Pagination or Media Count : 15

Abstract : 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.

Descriptors :   *Viscoelasticity, Entropy, Shock waves, Differential equations, Inequalities, Theorems

Subject Categories : Solid State Physics

Distribution Statement : APPROVED FOR PUBLIC RELEASE