Finite element calculation of stress intensity factors for interface notches

Research output: Contribution to journalArticle

14 Citations (Scopus)

Abstract

A least-squares method was developed to find the stress intensity factors (SIFs) of a notch formed from several elastic anisotropic materials. First, the complex displacement and stress functions of the interface notch are deduced into a simple matrix form, and then stress fields from the finite element analysis are substituted into the least-squares equation generated from the stress functions to evaluate the notch SIFs. Comparisons with theoretical and H-integral solutions indicate that the SIFs evaluated from the least-squares method are accurate if each dimension (two- or three-dimension) contains more than three stress terms.

Original languageEnglish
Pages (from-to)2273-2280
Number of pages8
JournalComputer Methods in Applied Mechanics and Engineering
Volume199
Issue number33-36
DOIs
Publication statusPublished - 2010 Jul 1

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stress intensity factors
notches
Stress intensity factors
stress functions
least squares method
stress distribution
matrices
Finite element method

All Science Journal Classification (ASJC) codes

  • Computational Mechanics
  • Mechanics of Materials
  • Mechanical Engineering
  • Physics and Astronomy(all)
  • Computer Science Applications

Cite this

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abstract = "A least-squares method was developed to find the stress intensity factors (SIFs) of a notch formed from several elastic anisotropic materials. First, the complex displacement and stress functions of the interface notch are deduced into a simple matrix form, and then stress fields from the finite element analysis are substituted into the least-squares equation generated from the stress functions to evaluate the notch SIFs. Comparisons with theoretical and H-integral solutions indicate that the SIFs evaluated from the least-squares method are accurate if each dimension (two- or three-dimension) contains more than three stress terms.",
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Finite element calculation of stress intensity factors for interface notches. / Ju, Shen-Haw.

In: Computer Methods in Applied Mechanics and Engineering, Vol. 199, No. 33-36, 01.07.2010, p. 2273-2280.

Research output: Contribution to journalArticle

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AB - A least-squares method was developed to find the stress intensity factors (SIFs) of a notch formed from several elastic anisotropic materials. First, the complex displacement and stress functions of the interface notch are deduced into a simple matrix form, and then stress fields from the finite element analysis are substituted into the least-squares equation generated from the stress functions to evaluate the notch SIFs. Comparisons with theoretical and H-integral solutions indicate that the SIFs evaluated from the least-squares method are accurate if each dimension (two- or three-dimension) contains more than three stress terms.

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