The Significance of Formulating Plasticity Theory with Reference to Loading Surfaces in Strain Space.

Abstract

After observing that the classical formulation of the theory of elastic-plastic materials relative to loading surfaces in stress space may not be valid in a region such as that corresponding to the neighborhood of ultimate strength (or initiation of necking) in a simple tension test, the present paper deals with an alternative development of constitutive equations for the rate of plastic strain and the rate of working-hardening relative to loading surfaces in strain space. The range of the validity of the results and their significance, in the presence of both finite and infinitesimal deformations, are discussed and certain features of the loading criteria in strain space and their relationships to the corresponding criteria in stress space are noted.

Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1974
Accession Number
ADA019498

Entities

People

  • J. A. Trapp
  • Paul M. Naghdi

Organizations

  • University of California, Berkeley

Tags

DTIC Thesaurus Topics

  • Constitutive Equations
  • Differential Equations
  • Equations
  • Equations Of State
  • Hardening
  • Materials
  • Mathematics
  • Partial Differential Equations
  • Plastic Properties

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Materials Science (Mechanical Engineering).
  • Structural Dynamics.

Technology Areas

  • Space