A Constitutive Model for the Deformation Induced Anisotropic Flow of Metals.

Abstract

A mathematical framework is established for the equations governing inelastic deformation under multidimensional stress state and the associated evolution equations of the internal state variables. The formulation is based on a generalization of the Prandtl-Reuss flow law. For the evolution equations it is assumed that part of the rate of change in the inelastic state variables is isotropic and the remaining part varies according to the sign and orientation of the current rate of deformation vector. This leads to a minimum of 12 components of the internal state tensor to represent the inelastic plastic flow. In this manner, both initial and load history induced plastic anisotropy can be modeled. A specific set of equations for anisotropic plastic flow is developed consistent with the inelastic state variables. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1979
Accession Number
ADA069954

Entities

People

  • D. C. Stouffer
  • S. R. Bodner

Tags

DTIC Thesaurus Topics

  • Air Force
  • Constitutive Equations
  • Electrical Engineering
  • Engineering
  • Equations
  • Flow
  • Hardening
  • Hardness
  • Law
  • Materials
  • Materials Laboratories
  • Mechanical Engineering
  • Mechanics
  • Plastic Deformation
  • Plastic Flow
  • Plastic Properties
  • Vector Spaces

Fields of Study

  • Mathematics

Readers

  • Materials Science and Engineering.
  • Structural Dynamics.
  • Theoretical Analysis.