Three-Dimensional Grain Stress Analysis Based on the Boundary Integral Equation Method. Volume I. Analytical Formulation.

Abstract

This report presents the theory of the three-dimensional grain stress analysis program based on the boundary integral equation method, which is based on a surface integral representation of the theory of elasticity for isotropic and linearly elastic solids. The boundary integral equation method is also extended to include body forces which are derivable from a potential function. Particular boundary solutions are generated within the strain potential approach which are combined with the prescribed boundary conditions to define a homogeneous problem. This problem is then solved by the boundary integral equation method. Cyclic symmetry considerations are also included in the analysis. The numerical results are compared with those of the finite element analysis for typical solid propellant grain configurations. Volume I is devoted to theoretical and numerical formulations.

Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1975
Accession Number
ADA011564

Entities

People

  • Alexander L. Deak

Tags

DTIC Thesaurus Topics

  • Boundaries
  • Equations
  • Finite Element Analysis
  • Integral Equations
  • Integrals
  • Propellant Grains
  • Propellants
  • Solid Propellants
  • Stress Analysis
  • Stresses
  • Three Dimensional

Fields of Study

  • Mathematics

Readers

  • Rocket Propulsion.
  • Structural Dynamics.