Numerical Analysis of Plane Elastic-Plastic Boundary Value Problems: Theory and Application to Single Crystal Beam.

Abstract

A technique for the solution of a large class of plane elastic-plastic problems is presented and applied to the bending of a simply supported singled crystal beam. The solution of elastic-perfectly plastic problems is accomplished by means of an iterative scheme for the location of the elastic-plastic interface at given load levels. This necessitates the solution of the plane elasticity problem in domains with irregular boundaries and numerical methods are thus dictated. An appropriate finite difference method and computer code are described. This method and code can be readily extended to include effects of elastic anisotropy and non-homogeneity. (Author)

Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1970
Accession Number
AD0715778

Entities

People

  • Byoung Sung Kim
  • Martin A. Eisenberg

Organizations

  • University of Florida

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Anisotropy
  • Boundaries
  • Boundary Value Problems
  • Computers
  • Crystals
  • Elastic Properties
  • Finite Difference Theory
  • Homogeneity
  • Mathematical Analysis
  • Mathematics
  • Numerical Analysis
  • Single Crystals

Readers

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