STEP LOAD MOVING WITH SUPERSEISMIC VELOCITY ON THE SURFACE OF AN ELASTIC-PLASTIC HALF-SPACE

Abstract

The plane strain problem of a step load moving with uniform superseismic velocity 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 equations 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. Typical numerical results are presented for selected values of significant non-dimensional parameters, i.e. of the surface load, of Poisson's ratio, and of the velocity ratio.

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1965
Accession Number
AD0628054

Entities

People

  • A. T. Matthews
  • H. H. Bleich

Organizations

  • Columbia University

Tags

Communities of Interest

  • Air Platforms
  • C4I

DTIC Thesaurus Topics

  • Abstracts
  • Computational Science
  • Computers
  • Constitutive Equations
  • Differential Equations
  • Digital Computers
  • Equations
  • Linear Differential Equations
  • Materials
  • Mechanics
  • Nonlinear Differential Equations
  • Numerical Analysis
  • Numerical Integration
  • Partial Differential Equations
  • Steady State
  • Three Dimensional
  • Wave Propagation

Fields of Study

  • Mathematics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Fluid Dynamics.

Technology Areas

  • Space