Structural Inelasticity XXIV. Examples of Non-Uniqueness in Contained Plastic Deformation.

Abstract

It is well known that in a well-defined boundary-value problem for an elastic/perfectly-plastic structure the displacements are unique if the structure is everywhere elastic, and they are not unique at the yield-point load. The present paper is concerned with the range of contained plastic deformation between these two extremes. Several examples are given in which more than one displacement field exists for loads less than the yield-point load. The significance of this phenomenon is commented on from a physical, mathematical, and computational point of view. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1979
Accession Number
ADA074727

Entities

People

  • David L. White
  • Philip G. Hodge Jr.

Organizations

  • University of Minnesota

Tags

DTIC Thesaurus Topics

  • Boundaries
  • Boundary Value Problems
  • Continuum Mechanics
  • Displacement
  • Engineering
  • Mechanics
  • Military Research
  • Minnesota
  • Physics
  • Plastic Deformation
  • Plastic Explosives
  • Universities
  • Yield Strength

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Structural Dynamics.
  • Theoretical Analysis.