MECHANICS OF RATE-INDEPENDENT MATERIALS.

Abstract

Constitutive equations for finite deformations of rate-independent materials with memory are discussed. The Piola stress is taken to be a functional of the path of deformation in strain space, independent of the rate of traversal of this path. The restrictions on the form of this functional arising from initial isotropy are exhibited. Differential and integral approximations to the functional are considered. A general theory of elastic-plastic materials, i. e. rate-independent materials with an elastic range, is formulated. (Author)

Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1964
Accession Number
AD0608641

Entities

People

  • A. C. Pipkin
  • R. S. Rivlin

Organizations

  • Brown University

Tags

DTIC Thesaurus Topics

  • Constitutive Equations
  • Differential Equations
  • Equations
  • Equations Of State
  • Integrals
  • Materials
  • Mathematics
  • Mechanics

Fields of Study

  • Mathematics

Readers

  • Graph Algorithms and Convex Optimization.
  • Mechanical Engineering/Mechanics of Materials.

Technology Areas

  • Space