PLANE WAVES IN AN ELASTIC-PLASTIC HALFSPACE DUE TO COMBINED SURFACE PRESSURE AND SHEAR

Abstract

The most general case of plane wave propagation, when normal and shear stresses occur simultaneously, is considered in a material obeying the v. Mises yield condition. The resulting non-linear differential equations have not previously been solved for any boundary value problem, except for special situations where the differential equations degenerate into linear ones. In the present paper, the stresses in a half-space, due to a uniformly distributed step load of pressure and shear on the surface, are obtained in closed form.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1965
Accession Number
AD0612107

Entities

People

  • Hans H. Bleich
  • Ivan Nelson

Organizations

  • Columbia University

Tags

Communities of Interest

  • Energy and Power Technologies
  • Weapons Technologies

DTIC Thesaurus Topics

  • Boundary Value Problems
  • Civil Engineering
  • Computational Science
  • Differential Equations
  • Equations
  • Equations Of Motion
  • Linear Differential Equations
  • Materials
  • Mechanics
  • Method Of Characteristics
  • Navy
  • Numerical Analysis
  • Partial Differential Equations
  • Plane Waves
  • Transcendental Functions
  • Two Dimensional
  • Wave Propagation

Fields of Study

  • Mathematics

Readers

  • Fluid Dynamics.
  • Structural Health Monitoring of Composite Structures.

Technology Areas

  • Space