A DISCRETE MODEL FOR THE PREDICTION OF SUBSEQUENT YIELD SURFACES IN POLYCRYSTALLINE PLASTICITY

Abstract

A discrete model suitable for the analysis of polycrystalline aggregate response under macroscopically uniform, quasi-static loading is developed, with particular emphasis on the characteristics of subsequent yield surfaces in stress space. Internal stress and deformation states are determined from approximating, piecewise linear infinitesimal displacement fields within crystal grains, based upon broadly defined constitutive behavior which permits inclusion of cubic or hexagonal crystal anisotropy and relatively general hardening laws over crystallographic slip systems. Appropriate aggregate matrices are established as symmetric, positive-definite, and internal fields corresponding to the solution of the discrete model are proved to be unique.

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Document Details

Document Type
Technical Report
Publication Date
May 01, 1970
Accession Number
AD0706787

Entities

People

  • Kerry S. Havner

Organizations

  • North Carolina State University

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Anisotropy
  • Boundaries
  • Boundary Value Problems
  • Computer Programs
  • Contracts
  • Crystal Structure
  • Crystallites
  • Crystals
  • Department Of Defense
  • Displacement
  • Equations
  • Hardening
  • Military Research
  • North Carolina
  • Plastic Properties
  • Polycrystals
  • Shear Stresses

Readers

  • Computational Modeling and Simulation
  • Linear Algebra
  • Materials Science and Engineering.

Technology Areas

  • Space