Structural Inelasticity. VI. A Finite Element Method for Plasticity Problems,

Abstract

A method is presented for finding complete solutions (stresses and displacements) for plasticity problems. The problem is first approximated by a finite-element model and a rate formulation is used. An exact solution for the stress rates is obtained by solving the quadratic programming problem which expresses the static minimum principle. Using some but not all of the information from this solution, the velocities are easily obtained from the kinematic minimum principle. The method is applied to a model for a wheel rolling on a rigid track. Maximum elastic loads, collapse loads, and shakedown loads are found for both gravity and hub loading. For loads between shakedown and collapse it is found that failure is incremental for gravity loading but cyclic for hub loading. (Author)

Document Details

Document Type
Technical Report
Publication Date
May 01, 1973
Accession Number
AD0764574

Entities

People

  • Philip G. Hodge Jr.
  • Subhash C. Anand
  • Vijay K. Garg

Organizations

  • University of Minnesota

Tags

DTIC Thesaurus Topics

  • Collapse
  • Computer Programming
  • Displacement
  • Finite Element Analysis
  • Mathematics
  • Physical Properties
  • Plastic Properties
  • Quadratic Programming

Fields of Study

  • Engineering

Readers

  • Control Systems Engineering.
  • Structural Dynamics.