Validation of the Boundary Element Method Applied to Complex Fracture Mechanics Conditions

Abstract

This thesis presents analyses of several fracture mechanics problems via the Boundary Element Method. Specifically, an indirect procedure known as the Displacement Discontinuity Method was used to solve problems involving cracks in isotropic or specially orthotropic materials. Infinite as well as finite regions were considered. A series of configurations were analyzed and compared with either analytic solutions or results from a finite element model. Agreement for the infinite-domain problems was excellent, while solutions to the finite-domain problems ranged from good to excellent. Advantages and disadvantages of the Displacement Discontinuity Method are briefly discussed. The main advantage of the method is the requirement to model only the boundary of the problem under consideration. The major disadvantage is the time required to solve the resulting fully-populated matrix equation. Separate FORTRAN codes are provided as appendices for the two material types - isotropic and orthotropic. These programs may be utilized for either stress or fracture analyses. Program outputs include displacements, stresses, and stress intensity factors, as appropriate.

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1989
Accession Number
ADA216412

Entities

People

  • Ralph E. Urch

Organizations

  • Air Force Institute of Technology

Tags

Communities of Interest

  • Air Platforms
  • C4I

DTIC Thesaurus Topics

  • Air Force Facilities
  • Birds
  • Boundary Element Methods
  • Computer Programming
  • Computers
  • Coordinate Systems
  • Engineering
  • Equations
  • Fracture (Mechanics)
  • Laminates
  • Materials
  • Mechanics
  • Quantum Dots
  • Stress Intensity Factors
  • Stresses
  • Three Dimensional
  • Two Dimensional

Readers

  • Linear Algebra
  • Materials Science (Mechanical Engineering).
  • Systems Analysis and Design