Fourier Transform Solutions of Quarter-Plane Problems in Elasticity,

Abstract

The object of these notes is to present a systematic account of an integral transform method of solving boundary value problems of classical plane elastostatics for a quarter plane. Of the problems presented here the main emphasis is on mixed boundary value problems. The principal reason for this is not that problems concerning a quarter-plane have any intrinsic interest, but that certain two-dimensional problems involving line cracks can by their symmetry be reduced to mixed boundary value problems for a quarter plane. The methods developed here can be used to derive the solutions of more complicated crack problems and of contact problems involving a quarter-plane or two quarter-planes adhering to each other.

Document Details

Document Type
Technical Report
Publication Date
May 01, 1971
Accession Number
AD0724176

Entities

People

  • Ian N. Sneddon

Organizations

  • North Carolina State University

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Boundaries
  • Boundary Value Problems
  • Convolution Integrals
  • Elastic Properties
  • Integral Transforms
  • Integrals
  • Inverse Problems
  • Mathematical Analysis
  • Mathematics
  • Physical Properties
  • Symmetry
  • Two Dimensional

Fields of Study

  • Mathematics

Readers

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