On Finite Elastic-Plastic Deformation of Metals,

Abstract

The paper is concerned with a special class of response functions for some of the constitutive equations in the nonlinear isothermal theory of elastic-plastic materials. Detailed attention is given to the development of special forms for the free energy and the stress response, motivated mainly by the mechanical behavior of ductile metals in the plastic range and in the presence of finite strains. After obtaining a properly invariant representation for the free energy response (and hence also for the stress) as a function of certain (easily interpretable) measures of deformation, the terms of the invariants of kinematic measures. Some special cases are elaborated upon and, by way of illustration, the influence of plastic deformation on the material properties of the stress response in a simple tension test is discussed. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1973
Accession Number
AD0761635

Entities

People

  • J. A. Trapp
  • Paul M. Naghdi

Organizations

  • University of California, Berkeley

Tags

DTIC Thesaurus Topics

  • Constitutive Equations
  • Differential Equations
  • Energy
  • Equations
  • Equations Of State
  • Free Energy
  • Materials
  • Mathematics
  • Partial Differential Equations
  • Plastic Deformation

Fields of Study

  • Mathematics

Readers

  • Mechanical Engineering/Mechanics of Materials.
  • Theoretical Analysis.