Stress Singularity at the Vertex of a Flat Wedge-Shaped Crack by a Variational Method

Abstract

Three dimensional elasticity problems are generally complex. In this paper we present the analysis for the stress singularity at the apex of a three dimensional, flat, wedge-shaped crack under general loadings. The problem is reduced to a set of coupled dual integral equations. Because of the complexity they are not amenable to a closed form solution. A variational method is developed to handle such problems. The physical interpretation of the results is also presented.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1980
Accession Number
ADA083871

Entities

People

  • B. Noble
  • M. A. Hussain
  • S. L. Pu

Organizations

  • United States Army Armament Research, Development and Engineering Center

Tags

Communities of Interest

  • Air Platforms
  • Weapons Technologies

DTIC Thesaurus Topics

  • Boundary Value Problems
  • Elastic Properties
  • Engineering
  • Equations
  • Fracture (Mechanics)
  • Geometry
  • Integral Equations
  • Integrals
  • Mathematics
  • Mechanical Properties
  • Mechanics
  • Military Research
  • Security
  • Stresses
  • Three Dimensional
  • Variational Methods
  • Variational Principles

Readers

  • Calculus or Mathematical Analysis
  • Electromagnetic Wave Scattering and Antenna Radiation Engineering
  • Structural Health Monitoring of Composite Structures.