Thermal Stresses in a Semi-Infinite Solid by a Finite Difference Technique

Abstract

A system of equations is developed to provide a means of computing the stresses in a semi-infinite solid, having arbitrary properties, arising from the thermal pulse, and subsequent pressure pulse, of a nuclear weapon. Two alternate systems of finite difference equations, and the appropriate stability criteria, are developed for the computation of the one and two dimensional stress distribution in a semi-infinite body, when subjected to a temperature field within the solid, and a pressure loading on the exterior surface. These equations are developed from the exact equations of the theory of elasticity, and in order to enhance their generality and usefulness, have been written to allow for the possibility of spatially and thermally varying elastic properties.

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Document Details

Document Type
Technical Report
Publication Date
Jan 03, 1967
Accession Number
AD0646862

Entities

People

  • J. E. Koch
  • M. L. Cohen
  • R. J. Heilferty

Tags

Communities of Interest

  • Counter WMD
  • Weapons Technologies

DTIC Thesaurus Topics

  • Blast
  • Boundaries
  • Classification
  • Computer Programs
  • Computers
  • Difference Equations
  • Elastic Properties
  • Equations
  • Materials
  • New York
  • Nuclear Weapons
  • Radiation
  • Stability Conditions
  • Stresses
  • Thermal Radiation
  • Thermal Stresses
  • Two Dimensional

Fields of Study

  • Mathematics

Readers

  • Computational Modeling and Simulation
  • Structural Dynamics.
  • Thermal Physics or Thermal Science.