Weight Function Method for Stress Intensity Factors of Semi-Elliptical Surface Cracks on Functionally Graded Plates Subjected to Non-Uniform Stresses
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 s...
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| Format: | Article |
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MDPI AG
2020-07-01
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| Series: | Materials |
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| Online Access: | https://www.mdpi.com/1996-1944/13/14/3155 |
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| author | Kun-Pang Kou Jin-Long Cao Yang Yang Chi-Chiu Lam |
| author_facet | Kun-Pang Kou Jin-Long Cao Yang Yang Chi-Chiu Lam |
| author_sort | Kun-Pang Kou |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-10T18:27:39Z |
| format | Article |
| id | doaj.art-729a0b8b2aaa4b4d9f50dc321ddb6c19 |
| institution | Directory Open Access Journal |
| issn | 1996-1944 |
| language | English |
| last_indexed | 2024-03-10T18:27:39Z |
| publishDate | 2020-07-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Materials |
| spelling | doaj.art-729a0b8b2aaa4b4d9f50dc321ddb6c192023-11-20T06:52:23ZengMDPI AGMaterials1996-19442020-07-011314315510.3390/ma13143155Weight Function Method for Stress Intensity Factors of Semi-Elliptical Surface Cracks on Functionally Graded Plates Subjected to Non-Uniform StressesKun-Pang Kou0Jin-Long Cao1Yang Yang2Chi-Chiu Lam3Department of Civil and Environmental Engineering, Faculty of Science and Technology, University of Macau, Macau 999078, ChinaDepartment of Civil and Environmental Engineering, Faculty of Science and Technology, University of Macau, Macau 999078, ChinaDepartment of Civil and Environmental Engineering, Faculty of Science and Technology, University of Macau, Macau 999078, ChinaDepartment of Civil and Environmental Engineering, Faculty of Science and Technology, University of Macau, Macau 999078, ChinaIn 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.https://www.mdpi.com/1996-1944/13/14/3155functionally graded platesweight function methodstress intensity factorsnon-uniform stress distributionssemi-elliptical surface cracksfinite element analysis |
| spellingShingle | Kun-Pang Kou Jin-Long Cao Yang Yang Chi-Chiu Lam Weight Function Method for Stress Intensity Factors of Semi-Elliptical Surface Cracks on Functionally Graded Plates Subjected to Non-Uniform Stresses Materials functionally graded plates weight function method stress intensity factors non-uniform stress distributions semi-elliptical surface cracks finite element analysis |
| title | Weight Function Method for Stress Intensity Factors of Semi-Elliptical Surface Cracks on Functionally Graded Plates Subjected to Non-Uniform Stresses |
| title_full | Weight Function Method for Stress Intensity Factors of Semi-Elliptical Surface Cracks on Functionally Graded Plates Subjected to Non-Uniform Stresses |
| title_fullStr | Weight Function Method for Stress Intensity Factors of Semi-Elliptical Surface Cracks on Functionally Graded Plates Subjected to Non-Uniform Stresses |
| title_full_unstemmed | Weight Function Method for Stress Intensity Factors of Semi-Elliptical Surface Cracks on Functionally Graded Plates Subjected to Non-Uniform Stresses |
| title_short | Weight Function Method for Stress Intensity Factors of Semi-Elliptical Surface Cracks on Functionally Graded Plates Subjected to Non-Uniform Stresses |
| title_sort | weight function method for stress intensity factors of semi elliptical surface cracks on functionally graded plates subjected to non uniform stresses |
| topic | functionally graded plates weight function method stress intensity factors non-uniform stress distributions semi-elliptical surface cracks finite element analysis |
| url | https://www.mdpi.com/1996-1944/13/14/3155 |
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