Uniqueness for Plane Crack Problems in Linear Elastostatics.

Abstract

The paper contains a proof of the uniqueness of solution to the traction boundary value problem in linear elastostatics for a bounded domain containing a crack. Attention is restricted to the two-dimensional case, but the elastic material considered need not be homogeneous or isotropic. In addition to the hypotheses assumed in the standard uniqueness theorem of Kirchhoff, it is required that the displacement field be bounded near the crack tips. (Author)

Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1972
Accession Number
AD0756653

Entities

People

  • James K. Knowles
  • T. A. Pucik

Organizations

  • California Institute of Technology

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Boundaries
  • Boundary Value Problems
  • Crack Tips
  • Cracks
  • Displacement
  • Elastic Materials
  • Hypotheses
  • Materials
  • Standards
  • Traction
  • Two Dimensional

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Structural Health Monitoring of Composite Structures.