Off-Boundary Approach to the Boundary Element Method.

Abstract

This paper is concerned with scattering of time-harmonic waves by compact inhomogeneities in an elastic solid. In the calculation procedure a boundary integral equation is solved numerically by the boundary element method (BEM). An alternative to the usual boundary element method is employed. The alternative approach is applicable to cavities or fixed rigid bodies of general shape located in linearly elastic, isotropic, homogeneous solids, but the specific results reported herein are for spherical cavities. The alternative approach eliminates the cumbersome singularities associated with the usual approach to BEM, and it also eliminates the problems encountered at the so called fictitious eigenfrequencies.

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Document Details

Document Type
Technical Report
Publication Date
Feb 15, 1988
Accession Number
ADA192931

Entities

People

  • G. E. Kechter
  • Jan D. Achenbach
  • Y.-l. Xu

Organizations

  • Northwestern University

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Applied Mechanics
  • Bodies
  • Boundaries
  • Boundary Element Methods
  • Boundary Value Problems
  • Computer Programs
  • Elastic Waves
  • Equations
  • Frequency
  • Integral Equations
  • Integrals
  • Least Squares Method
  • Military Research
  • Reliability
  • Scattering
  • Structural Mechanics
  • Waves

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Plasma Physics / Magnetohydrodynamics