STRESSES IN AN ELASTIC-PLASTIC HALF-SPACE DUE TO A SUPERSEISMIC STEP LOAD

Abstract

The plane strain problem of a step load moving with uniform superseismic velocity V > c sub P on the surface of a half-space is considered for an elastic -plastic material obeying the von Mises yield condition. Using dimensional analysis the governing quasi-linear partial differential equations are converted into ordinary nonlinear differential which are solved numerically using a digital computer. To overcome computing difficulties asymptotic solutions are derived in the vicinity of a singular point of the differential equations. Numerical results are presented for a range of selected values of significant nondimensional parameters, i.e. of the surface load p sub o/k, of Poisson's ratio nu and of the velocity ratio V/c sub P.

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Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1966
Accession Number
AD0633776

Entities

People

  • Alva T. Matthews
  • Hans H. Bleich

Tags

Communities of Interest

  • C4I
  • Weapons Technologies

DTIC Thesaurus Topics

  • Asymptotic Series
  • Classification
  • Computational Science
  • Computers
  • Constitutive Equations
  • Contracts
  • Differential Equations
  • Digital Computers
  • Equations
  • Materials
  • New York
  • Nonlinear Differential Equations
  • Numerical Analysis
  • Numerical Integration
  • Partial Differential Equations
  • Security
  • Three Dimensional

Fields of Study

  • Mathematics

Readers

  • Electromagnetic Wave Scattering and Antenna Radiation Engineering
  • Linear Algebra
  • Mechanical Engineering/Mechanics of Materials.

Technology Areas

  • Space