Overdeterministic Fracture Analysis and Singular Value Decomposition

Abstract

Using over deterministic 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
Jan 01, 1998
Accession Number
ADA386243

Entities

People

  • Ravinder Chona
  • Timothy C. Miller

Organizations

  • Air Force Research Laboratory

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

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

Readers

  • Materials Science (Mechanical Engineering).
  • Statistical inference.
  • Theoretical Analysis.