ELASTIC PLASTIC TORSION AS A PROBLEM IN NON-LINEAR PROGRAMMING,

Abstract

For a simply connected region, it is shown that the problem of determining the elastic-plastic stress function is equivalent to that of minimizing the complementary energy subject to the inequality constraints required by the yield condition. A method is proposed for approximating this minimum in which the cross section is approximated by a finite number of triangles and a linear stress function is assumed for each triangle. This approximate problem is then solved by means of a recently available computer program for solving nonlinear constrained minimization problems. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1967
Accession Number
AD0646888

Entities

People

  • Philip G. Hodge

Organizations

  • Illinois Institute of Technology

Tags

DTIC Thesaurus Topics

  • Application Software
  • Computer Programming
  • Computer Programs
  • Computers
  • Digital Information
  • Inequalities
  • Linear Programming
  • Mathematics
  • Software Development Tools
  • Triangles

Fields of Study

  • Mathematics

Readers

  • Operations Research
  • Structural Dynamics.