Solution of Contact Problem for an Arc Crack using Hypersingular intergral Equation
This paper investigates the contact problem for an arc crack, for example, under a remote compression. A hypersingular integral equation (HSIE) for curved cracks in plane elasticity is suggested. It is found that the direct usage of HSIE cannot solve the mentioned contact problem. For the contact p...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English English |
| Published: |
World Scientific Publishing Company
2008
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| Online Access: | http://psasir.upm.edu.my/id/eprint/7112/ http://psasir.upm.edu.my/id/eprint/7112/1/138.pdf |
| _version_ | 1848840505209651200 |
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| author | Chen, Y. Z. Lin, X. Y. Wang, Z. X. Nik Long, Nik Mohd Asri |
| author_facet | Chen, Y. Z. Lin, X. Y. Wang, Z. X. Nik Long, Nik Mohd Asri |
| author_sort | Chen, Y. Z. |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | This paper investigates the contact problem for an arc crack, for example, under a remote compression. A hypersingular integral equation (HSIE) for curved cracks in plane elasticity is suggested. It is found that the direct usage of HSIE cannot solve the mentioned contact
problem. For the contact problem, one must take necessary modifications for solving the HSIE. The main modified points are as follows. First, one should assume some portion
along the crack under contact. The margin or the end of the contacted portion is determined by the vanishing normal contact stress at the margin point. In addition, it is found
that a suggested quadrature rule in conjunction with the curve length method provides a very effective way to solve the HSIE. Finally, several numerical examples are given. |
| first_indexed | 2025-11-15T07:28:24Z |
| format | Article |
| id | upm-7112 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English English |
| last_indexed | 2025-11-15T07:28:24Z |
| publishDate | 2008 |
| publisher | World Scientific Publishing Company |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-71122013-05-27T07:33:28Z http://psasir.upm.edu.my/id/eprint/7112/ Solution of Contact Problem for an Arc Crack using Hypersingular intergral Equation Chen, Y. Z. Lin, X. Y. Wang, Z. X. Nik Long, Nik Mohd Asri This paper investigates the contact problem for an arc crack, for example, under a remote compression. A hypersingular integral equation (HSIE) for curved cracks in plane elasticity is suggested. It is found that the direct usage of HSIE cannot solve the mentioned contact problem. For the contact problem, one must take necessary modifications for solving the HSIE. The main modified points are as follows. First, one should assume some portion along the crack under contact. The margin or the end of the contacted portion is determined by the vanishing normal contact stress at the margin point. In addition, it is found that a suggested quadrature rule in conjunction with the curve length method provides a very effective way to solve the HSIE. Finally, several numerical examples are given. World Scientific Publishing Company 2008 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/7112/1/138.pdf Chen, Y. Z. and Lin, X. Y. and Wang, Z. X. and Nik Long, Nik Mohd Asri (2008) Solution of Contact Problem for an Arc Crack using Hypersingular intergral Equation. International Journal of Computational Methods, 5 (1). pp. 119-133. ISSN 0219-8762 http://dx.doi.org/10.1142/S0219876208001418 English |
| spellingShingle | Chen, Y. Z. Lin, X. Y. Wang, Z. X. Nik Long, Nik Mohd Asri Solution of Contact Problem for an Arc Crack using Hypersingular intergral Equation |
| title | Solution of Contact Problem for an Arc Crack using Hypersingular intergral Equation
|
| title_full | Solution of Contact Problem for an Arc Crack using Hypersingular intergral Equation
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| title_fullStr | Solution of Contact Problem for an Arc Crack using Hypersingular intergral Equation
|
| title_full_unstemmed | Solution of Contact Problem for an Arc Crack using Hypersingular intergral Equation
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| title_short | Solution of Contact Problem for an Arc Crack using Hypersingular intergral Equation
|
| title_sort | solution of contact problem for an arc crack using hypersingular intergral equation |
| url | http://psasir.upm.edu.my/id/eprint/7112/ http://psasir.upm.edu.my/id/eprint/7112/ http://psasir.upm.edu.my/id/eprint/7112/1/138.pdf |