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
Distribution Statement : APPROVED FOR PUBLIC RELEASE