Calculation of stress intensity factors for curved cracks in anisotropic FGMs

Jui Hung Chang; Dah Suen Tang

doi:10.1080/02533839.2012.747048

Calculation of stress intensity factors for curved cracks in anisotropic FGMs

Jui Hung Chang, Dah Suen Tang

Department of Civil Engineering

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

1 Scopus citations

Abstract

A combined analytical and numerical method is proposed for computation of mixed-mode stress intensity factors (SIFs) for arbitrary curved cracks in anisotropic functionally graded materials (FGMs). By developing a pair of closed-form expressions that relate the SIFs and the J_k-integrals, it is anticipated that the SIFs can be properly extracted should the J _k-integrals be accurately evaluated. To this end, a novel method for calculating the J_k-integrals is presented and has proved reasonably accurate in numerical computations. Since neither a priori information nor extra auxiliary solutions corresponding to the singular behavior is required, this proposed scheme appears to be applicable to problems containing arbitrary shapes of curvature in generally anisotropic FGMs.

Original language	English
Pages (from-to)	1045-1058
Number of pages	14
Journal	Journal of the Chinese Institute of Engineers, Transactions of the Chinese Institute of Engineers,Series A/Chung-kuo Kung Ch'eng Hsuch K'an
Volume	36
Issue number	8
DOIs	https://doi.org/10.1080/02533839.2012.747048
State	Published - 1 Dec 2013

Keywords

anisotropic FGM
curved crack
mixed-mode SIFs
modified Jk-integrals

Access to Document

10.1080/02533839.2012.747048

Cite this

@article{fd05bbab959c4c3e8ab344cd2ff500fc,

title = "Calculation of stress intensity factors for curved cracks in anisotropic FGMs",

abstract = "A combined analytical and numerical method is proposed for computation of mixed-mode stress intensity factors (SIFs) for arbitrary curved cracks in anisotropic functionally graded materials (FGMs). By developing a pair of closed-form expressions that relate the SIFs and the Jk-integrals, it is anticipated that the SIFs can be properly extracted should the J k-integrals be accurately evaluated. To this end, a novel method for calculating the Jk-integrals is presented and has proved reasonably accurate in numerical computations. Since neither a priori information nor extra auxiliary solutions corresponding to the singular behavior is required, this proposed scheme appears to be applicable to problems containing arbitrary shapes of curvature in generally anisotropic FGMs.",

keywords = "anisotropic FGM, curved crack, mixed-mode SIFs, modified Jk-integrals",

author = "Chang, {Jui Hung} and Tang, {Dah Suen}",

note = "Funding Information: This work has been partially supported by the National Science Council Grant No. NSC99-2221-E-008-032 to National Central University.",

year = "2013",

month = dec,

day = "1",

doi = "10.1080/02533839.2012.747048",

language = "???core.languages.en_GB???",

volume = "36",

pages = "1045--1058",

journal = "Journal of the Chinese Institute of Engineers, Transactions of the Chinese Institute of Engineers,Series A/Chung-kuo Kung Ch'eng Hsuch K'an",

issn = "0253-3839",

number = "8",

}

TY - JOUR

T1 - Calculation of stress intensity factors for curved cracks in anisotropic FGMs

AU - Chang, Jui Hung

AU - Tang, Dah Suen

N1 - Funding Information: This work has been partially supported by the National Science Council Grant No. NSC99-2221-E-008-032 to National Central University.

PY - 2013/12/1

Y1 - 2013/12/1

N2 - A combined analytical and numerical method is proposed for computation of mixed-mode stress intensity factors (SIFs) for arbitrary curved cracks in anisotropic functionally graded materials (FGMs). By developing a pair of closed-form expressions that relate the SIFs and the Jk-integrals, it is anticipated that the SIFs can be properly extracted should the J k-integrals be accurately evaluated. To this end, a novel method for calculating the Jk-integrals is presented and has proved reasonably accurate in numerical computations. Since neither a priori information nor extra auxiliary solutions corresponding to the singular behavior is required, this proposed scheme appears to be applicable to problems containing arbitrary shapes of curvature in generally anisotropic FGMs.

AB - A combined analytical and numerical method is proposed for computation of mixed-mode stress intensity factors (SIFs) for arbitrary curved cracks in anisotropic functionally graded materials (FGMs). By developing a pair of closed-form expressions that relate the SIFs and the Jk-integrals, it is anticipated that the SIFs can be properly extracted should the J k-integrals be accurately evaluated. To this end, a novel method for calculating the Jk-integrals is presented and has proved reasonably accurate in numerical computations. Since neither a priori information nor extra auxiliary solutions corresponding to the singular behavior is required, this proposed scheme appears to be applicable to problems containing arbitrary shapes of curvature in generally anisotropic FGMs.

KW - anisotropic FGM

KW - curved crack

KW - mixed-mode SIFs

KW - modified Jk-integrals

UR - http://www.scopus.com/inward/record.url?scp=84891296347&partnerID=8YFLogxK

U2 - 10.1080/02533839.2012.747048

DO - 10.1080/02533839.2012.747048

M3 - 期刊論文

AN - SCOPUS:84891296347

SN - 0253-3839

VL - 36

SP - 1045

EP - 1058

JO - Journal of the Chinese Institute of Engineers, Transactions of the Chinese Institute of Engineers,Series A/Chung-kuo Kung Ch'eng Hsuch K'an

JF - Journal of the Chinese Institute of Engineers, Transactions of the Chinese Institute of Engineers,Series A/Chung-kuo Kung Ch'eng Hsuch K'an

IS - 8

ER -

Calculation of stress intensity factors for curved cracks in anisotropic FGMs

Abstract

Keywords

Access to Document

Fingerprint

Cite this