The Basis for an Elastic-Plastic Code,

Abstract

A complete stress-analysis of a metal-forming process is necessary in order to assess the onset of metal-forming defects such as the initiation of internal or surface cracks or the generation of residual stresses, and this demands elastic-plastic analysis. This report comprises comments on the plasticity theory formulation needed for a finite-element computer code designed for the analysis of metal forming processes. J. R. Rice has pointed out the importance of convection and rotation terms in the definition of stress-rate for inclusion in elastic-plastic constitutive relations, and that the development of uniqueness and stability analysis by R. Hill provides a convenient vehicle for including these effects. The development of these concepts is described and how they generate a convenient variational principle to form the basis of an elastic-plastic code to analyze metal forming. (Author)

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Document Details

Document Type
Technical Report
Publication Date
May 01, 1976
Accession Number
ADA094028

Entities

People

  • E. H. Lee

Organizations

  • Stanford University

Tags

DTIC Thesaurus Topics

  • Boundary Value Problems
  • Cartesian Coordinates
  • Equations
  • Flow
  • Geometry
  • Materials
  • Mechanics
  • Modulus Of Elasticity
  • Plastic Flow
  • Plastic Properties
  • Residual Stress
  • Rotation
  • Strain Rate
  • Stress Analysis
  • Stresses
  • Two Dimensional
  • Variational Principles

Fields of Study

  • Engineering

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Materials Science (Mechanical Engineering).
  • Mechanical Engineering/Mechanics of Materials.