On an Axisymmetric Free Boundary Problem.

Abstract

The axisymmetric elastic-plastic torsion of a shaft of general shape subject to the Hencky consistency condition with the von Mises yield function is considered. It is proved that the Haar-Karman principle is valid in this case, and that the problem is essentially two-dimensional. The problem is reformulated as a variational inequality, and the existence and uniqueness of the solution is studied.

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Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1981
Accession Number
ADA110479

Entities

People

  • Shu-zi Zhou

Organizations

  • University of Wisconsin–Madison

Tags

Communities of Interest

  • Air Platforms
  • C4I

DTIC Thesaurus Topics

  • Axisymmetric
  • Boundaries
  • Calculus Of Variations
  • Cauchy Problem
  • Contracts
  • Differential Equations
  • Equations
  • Inequalities
  • Mathematics
  • New York
  • Numbers
  • Partial Differential Equations
  • Real Numbers
  • Two Dimensional
  • United States
  • Universities
  • Wisconsin

Fields of Study

  • Mathematics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Structural Dynamics.