ON UNIQUENESS AND CONVERGENCE OF A DISCRETE AGGREGATE MODEL IN POLYCRYSTALLINE PLASTICITY.

Abstract

A discrete model for the study of small deformation response of polycrystalline aggregates is presented and analytically investigated. The model encompasses both anisotropic crystal elasticity and a general hardening law over crystallographic slip systems. Internal fields which satisfy the discrete governing equations are established as unique, and a strict proof of convergence to the solution of the corresponding continuum boundary value problem is given. Thus, the model is rigorously confirmed as a rational approximation well-suited to quantitative analyses of aggregate behavior. (Author)

Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1970
Accession Number
AD0712060

Entities

People

  • Kerry S. Havner

Organizations

  • North Carolina State University

Tags

DTIC Thesaurus Topics

  • Boundaries
  • Boundary Value Problems
  • Convergence
  • Crystals
  • Differential Equations
  • Elastic Properties
  • Equations
  • Hardening
  • Materials
  • Mathematics
  • Plastic Properties
  • Polycrystals

Fields of Study

  • Mathematics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Materials Science and Engineering.