A Conservative Formulation for Plasticity

Abstract

In this paper we propose a fully conservative form for the continuum equations governing rate-dependent and rate-independent plastic flow in metals. The conservation laws are valid for discontinuous as well as smooth solutions. In the rate-dependent case, the evolution equations are in divergence form, with the plastic strain being passively convected and augmented by source terms. In the rate-independent case, the conservation laws involve a Lagrange multiplier that is determined by a set of constraints; we show that Riemann problems for this system admit scale-invariant solutions.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1992
Accession Number
ADA264592

Entities

People

  • Bradley J. Plohr
  • David H. Sharp

Organizations

  • State University of New York

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Computational Science
  • Constitutive Equations
  • Continuum Mechanics
  • Differential Equations
  • Eigenvalues
  • Elastic Properties
  • Elastic Waves
  • Equations
  • Materials
  • Mechanics
  • Plastic Deformation
  • Plastic Flow
  • Plastic Properties
  • Shock Waves
  • Strain Rate
  • Temperature Gradients
  • Three Dimensional

Fields of Study

  • Mathematics

Readers

  • Fluid Mechanics and Fluid Dynamics.
  • Materials Science (Mechanical Engineering).
  • Statistical inference.