Structural Inelasticity XVIII. A Slip Model for Finite Element Plasticity.

Abstract

Conventional finite-element models are based on displacement or velocity fields which are at least continuous. However, it is known that perfectly plastic materials may exhibit discontinuities of the tangential velocity component along certain lines. In this investigation, a two-dimensional finite element model is proposed which will allow for such discontinuities. A regular pattern of triangular elements is assumed. The elements are assumed to be rigid and across the line separating any two adjoining elements the normal displacement component is continuous, but a discontinuity may exist in the tangential component. The defining equations--compatibility, equilibrium and constitutive--are developed with the aid of the Principle of Virtual Work. Prandtl's punch problem is solved under plane strain conditions. Comparison is made with existing analytical and other numerical solutions, in order to evaluate the merits of allowing for discontinuities. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1977
Accession Number
ADA047079

Entities

People

  • Hendrik Van Rij
  • Philip G. Hodge Jr.

Organizations

  • University of Minnesota

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Applied Mechanics
  • Boundaries
  • Boundary Value Problems
  • Computer Programs
  • Constitutive Equations
  • Discontinuities
  • Displacement
  • Elastic Materials
  • Elastic Properties
  • Equations
  • Materials
  • Mechanics
  • Plastic Properties
  • Strain Rate
  • Stratified Fluids
  • Two Dimensional
  • Yield Strength

Fields of Study

  • Engineering

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Fluid Dynamics.
  • Mechanical Engineering/Mechanics of Materials.