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Weight function method for stress intensity factors of semi-elliptical surface cracks on functionally graded plates subjected to non-uniform stresses
Kou,Kun Pang; Cao,Jin Long; Yang,Yang; Lam,Chi Chiu
2020-07-15
Source PublicationMaterials
ISSN1996-1944
Volume13Issue:14Pages:3155
Abstract

In this paper, a weight function method based on the first four terms of a Taylor's series expansion is proposed to determine the stress intensity factors of functionally graded plates with semi-elliptical surface cracks. Cracked surfaces that are subjected to constant, linear, parabolic and cubic stress fields are considered. The weight functions for the surface, deepest and general points on the crack faces of long and deep cracked functionally graded plates are derived, which has never been done before in the literature. The accuracy of the method in this study is then validated by comparing the results with those of finite element modeling. The numerical results indicate that the derived weight functions are highly accurate and robust enough to predict the stress intensity factors for cracked functionally graded plates subjected to non-uniform stress distributions. The weight function method is therefore a time-saving technique and suitable for handling non-uniform stress fields.

KeywordFinite Element Analysis Functionally Graded Plates Non-uniform Stress Distributions Semi-elliptical Surface Cracks Stress Intensity Factors Weight Function Method
DOI10.3390/ma13143155
URLView the original
Indexed BySCIE
Language英語English
WOS Research AreaChemistry ; Materials Science ; Metallurgy & Metallurgical Engineering ; Physics
WOS SubjectChemistry, Physical ; Materials Science, Multidisciplinary ; Metallurgy & Metallurgical Engineering ; Physics, Applied ; Physics, Condensed Matter
WOS IDWOS:000556786300001
Scopus ID2-s2.0-85088529064
Fulltext Access
FWCI0.10899197
Citation statistics
Document TypeJournal article
CollectionDEPARTMENT OF CIVIL AND ENVIRONMENTAL ENGINEERING
AffiliationDepartment of Civil and Environmental Engineering,University of Macau,Macau,999078,China
First Author AffilicationUniversity of Macau
Recommended Citation
GB/T 7714
Kou,Kun Pang,Cao,Jin Long,Yang,Yang,et al. Weight function method for stress intensity factors of semi-elliptical surface cracks on functionally graded plates subjected to non-uniform stresses[J]. Materials,2020,13(14):3155.
APA Kou,Kun Pang,Cao,Jin Long,Yang,Yang,&Lam,Chi Chiu.(2020).Weight function method for stress intensity factors of semi-elliptical surface cracks on functionally graded plates subjected to non-uniform stresses.Materials,13(14),3155.
MLA Kou,Kun Pang,et al."Weight function method for stress intensity factors of semi-elliptical surface cracks on functionally graded plates subjected to non-uniform stresses".Materials 13.14(2020):3155.
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