Analysis of anti-plane interface cracks in one-dimensional hexagonal quasicrystal coating
The displacement discontinuity method is extended to study the fracture behavior of interface cracks in one-dimensional hexagonal quasicrystal coating subjected to anti-plane loading. The Fredholm integral equation of the first kind is established in terms of displacement discontinuities. The fundam...
| Main Authors: | , , , , , |
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| Format: | Journal Article |
| Published: |
2020
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| Online Access: | http://hdl.handle.net/20.500.11937/78289 |
| _version_ | 1848763953134436352 |
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| author | Dang, H.Y. Lv, S.Y. Fan, C.Y. Lu, Chunsheng Ren, J.L. Zhao, M.H. |
| author_facet | Dang, H.Y. Lv, S.Y. Fan, C.Y. Lu, Chunsheng Ren, J.L. Zhao, M.H. |
| author_sort | Dang, H.Y. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | The displacement discontinuity method is extended to study the fracture behavior of interface cracks in one-dimensional hexagonal quasicrystal coating subjected to anti-plane loading. The Fredholm integral equation of the first kind is established in terms of displacement discontinuities. The fundamental solution for anti-plane displacement discontinuity is derived by the Fourier transform method. The singularity of stress near the crack front is analyzed, and Chebyshev polynomials of the second kind are numerically adopted to solve the integral equations. The displacement discontinuities across crack faces, the stress intensity factors, and the energy release rate are calculated from the coefficients of Chebyshev polynomials. In combination with numerical simulations, a comprehensive study of influencing factors on the fracture behavior is conducted. |
| first_indexed | 2025-11-14T11:11:39Z |
| format | Journal Article |
| id | curtin-20.500.11937-78289 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T11:11:39Z |
| publishDate | 2020 |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-782892020-06-15T01:54:31Z Analysis of anti-plane interface cracks in one-dimensional hexagonal quasicrystal coating Dang, H.Y. Lv, S.Y. Fan, C.Y. Lu, Chunsheng Ren, J.L. Zhao, M.H. The displacement discontinuity method is extended to study the fracture behavior of interface cracks in one-dimensional hexagonal quasicrystal coating subjected to anti-plane loading. The Fredholm integral equation of the first kind is established in terms of displacement discontinuities. The fundamental solution for anti-plane displacement discontinuity is derived by the Fourier transform method. The singularity of stress near the crack front is analyzed, and Chebyshev polynomials of the second kind are numerically adopted to solve the integral equations. The displacement discontinuities across crack faces, the stress intensity factors, and the energy release rate are calculated from the coefficients of Chebyshev polynomials. In combination with numerical simulations, a comprehensive study of influencing factors on the fracture behavior is conducted. 2020 Journal Article http://hdl.handle.net/20.500.11937/78289 10.1016/j.apm.2020.01.024 restricted |
| spellingShingle | Dang, H.Y. Lv, S.Y. Fan, C.Y. Lu, Chunsheng Ren, J.L. Zhao, M.H. Analysis of anti-plane interface cracks in one-dimensional hexagonal quasicrystal coating |
| title | Analysis of anti-plane interface cracks in one-dimensional hexagonal quasicrystal coating |
| title_full | Analysis of anti-plane interface cracks in one-dimensional hexagonal quasicrystal coating |
| title_fullStr | Analysis of anti-plane interface cracks in one-dimensional hexagonal quasicrystal coating |
| title_full_unstemmed | Analysis of anti-plane interface cracks in one-dimensional hexagonal quasicrystal coating |
| title_short | Analysis of anti-plane interface cracks in one-dimensional hexagonal quasicrystal coating |
| title_sort | analysis of anti-plane interface cracks in one-dimensional hexagonal quasicrystal coating |
| url | http://hdl.handle.net/20.500.11937/78289 |