ACCELERATION WAVES IN ELASTIC-PLASTIC MATERIALS

Abstract

Acceleration waves in elastic-plastic materials are studied in some detail on the basis of a nonlinear thermodynamical theory of elastic-plastic continua. Attention is confined mainly to non-conducting media, but the developments are, otherwise, general. Formulae for wave speeds are derived, fronts of plastic loading and elastic unloading are discussed, and higher order discontinuities are shown to have the same characteristic speeds as those of acceleration waves. An example concerning propagation of plastic waves in a medium undergoing uni-axial motion is included.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1969
Accession Number
AD0695960

Entities

People

  • Alex E.S. Green
  • M. M. Balaban
  • Paul M. Naghdi

Organizations

  • University of California, Berkeley

Tags

Communities of Interest

  • Air Platforms
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Constitutive Equations
  • Discontinuities
  • Eigenvalues
  • Elastic Materials
  • Energy
  • Equations
  • Equations Of Motion
  • Free Energy
  • Heat Flux
  • Materials
  • Mechanics
  • Notation
  • Plane Waves
  • Plastic Deformation
  • Strain Rate
  • Unloading
  • Waves

Readers

  • Atmospheric Science / Meteorology, specifically Wind Wave Turbulence.
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Mechanical Engineering/Mechanics of Materials.