Overdeterministic Fracture Analysis and Singular Value Decomposition

Abstract

Using overdeterministic analysis to determine fracture parameters leads to unstable solutions in some cases because of ill-conditioning problems. The problem arises because some of the functions that constitute the overall field expressions are similar. In these cases the solution is best obtained using singular value decomposition, which solves for the coefficients effectively even when ill-conditioning is present, and quantifies the condition of the matrix. The method is explained and its use is demonstrated with two sets of results for interfacial cracks in thermally loaded bimaterials.

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Document Details

Document Type
Technical Report
Publication Date
Apr 05, 1999
Accession Number
ADA409496

Entities

People

  • Ravinder Chona
  • Timothy C. Miller

Organizations

  • Air Force Research Laboratory

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  • Air Platforms

DTIC Thesaurus Topics

  • Air Force
  • Air Force Research Laboratories
  • Algebra
  • Aluminum
  • Decomposition
  • Displacement
  • Elements
  • Engineering
  • Equations
  • Experimental Data
  • Heat Transfer
  • Infinite Series
  • Intensity
  • Linear Algebra
  • Military Research
  • Stress Intensity Factors
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  • Linear Algebra
  • Materials Science (Mechanical Engineering).