Accession Number:

AD0646888

Title:

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

Descriptive Note:

Corporate Author:

ILLINOIS INST OF TECH CHICAGO DEPT OF MECHANICS

Personal Author(s):

Report Date:

1967-01-01

Pagination or Media Count:

28.0

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

Subject Categories:

  • Operations Research
  • Mechanics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE