Accession Number : AD0844205

Title :   A Fading-Memory Theorem for Materials with Internal Variables.

Descriptive Note : Technical rept.,

Corporate Author : CALIFORNIA UNIV BERKELEY STRUCTURAL ENGINEERING LAB

Personal Author(s) : Lubliner, J.

Report Date : SEP 1968

Pagination or Media Count : 14

Abstract : It is shown that a material whose thermodynamical state is described by internal variables alpha sub i which are governed by equations of evolution of the form alpha dot sub i = f sub i (u sub j, alpha sub k), where the u sub j represent the 'external' variables (deformation, temperature, temperature gradient) possesses the property of fading memory (as postulated by Coleman) if the f sub i are differentiable and if the matrix of their partial derivatives with respect to the alpha sub k is negative definite. (Author)

Descriptors :   *CONTINUUM MECHANICS, *THERMODYNAMICS, NONLINEAR SYSTEMS, DEFORMATION, VISCOELASTICITY, FREE ENERGY, STRESSES, TEMPERATURE, PARTIAL DIFFERENTIAL EQUATIONS, MATRICES(MATHEMATICS), INEQUALITIES, THEOREMS.

Subject Categories : Mechanics
      Thermodynamics

Distribution Statement : APPROVED FOR PUBLIC RELEASE