Finite element calculation of stress intensity factors for interface notches

S. H. Ju

doi:10.1016/j.cma.2010.03.022

Finite element calculation of stress intensity factors for interface notches

S. H. Ju

Department of Civil Engineering

Research output: Contribution to journal › Article › peer-review

21 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 language	English
Pages (from-to)	2273-2280
Number of pages	8
Journal	Computer Methods in Applied Mechanics and Engineering
Volume	199
Issue number	33-36
DOIs	https://doi.org/10.1016/j.cma.2010.03.022
Publication status	Published - 2010 Jul

All Science Journal Classification (ASJC) codes

Computational Mechanics
Mechanics of Materials
Mechanical Engineering
General Physics and Astronomy
Computer Science Applications

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10.1016/j.cma.2010.03.022

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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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JO - Computer Methods in Applied Mechanics and Engineering

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IS - 33-36

ER -

Finite element calculation of stress intensity factors for interface notches

Abstract

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