Numerical Solution of Three-Dimensional Elasticity Problems for Solid Rocket Grains Based on Integral Equations. Volume I. Integral Equation Formulations.

Abstract

Presented is a description of two FORTRAN programs for the static analysis of simple connected finite three-dimensional elastic solids. These methods are based on a surface integral form of Navier's elasticity equations and result either in a set of singular integral equations with Cauchy kernels, or in a set of regular integral equations for the unknown boundary values. Thus, the three-dimensional problem is effectively reduced to a two-dimensional problem. Over any portion of the boundary surface, eight combinations of the prescribed displacement and stress vector components are possible. The complement of these combinations is then calculated by the programs. Provision is made to obtain boundary stresses, interior stresses, strains, and displacements at any point in the body. The extension to linear viscoelasticity is discussed. (Author)

Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1972
Accession Number
AD0737123

Entities

People

  • Alexander L. Deak

Tags

DTIC Thesaurus Topics

  • Boundaries
  • Displacement
  • Elastic Properties
  • Equations
  • Integral Equations
  • Integrals
  • Mathematics
  • Physical Properties
  • Rocket Propellant Grains
  • Three Dimensional
  • Two Dimensional
  • Viscoelasticity

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Fluid Dynamics.