A Fading-Memory Theorem for Materials with Internal Variables.

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)

Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1968
Accession Number
AD0844205

Entities

People

  • J. Lubliner

Organizations

  • University of California, Berkeley

Tags

DTIC Thesaurus Topics

  • Application Software
  • Equations
  • Isotherms
  • Materials
  • Personal Information Managers
  • Temperature Gradients

Readers

  • Analytical Mechanics
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Fluid Dynamics.