Mathematical Foundations of the Boundary-Integral Equation Method in Solid Mechanics.

Abstract

These notes provide the mathematical foundation for the boundary-integral equation method in computational solid mechanics. The basic ideas of potential theory are developed in both two- and three-dimensions. The equations of isotropic elastostatics, in indicial notation, are then expressed as integral equations involving only boundary information, and the numerical approximation of these equations is discussed. A current bibliography in the area of boundary-integral equations is included. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1977
Accession Number
ADA043114

Entities

People

  • T. A. Cruse

Organizations

  • Pratt & Whitney

Tags

DTIC Thesaurus Topics

  • Bibliographies
  • Boundaries
  • Equations
  • Integral Equations
  • Integrals
  • Mechanics
  • Potential Theory

Fields of Study

  • Mathematics

Readers

  • Business Analytics
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)