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The 3-D weight functions for a quasi-static planar crack
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Al-Falou, A. A. and Ball, Robin (2000) The 3-D weight functions for a quasi-static planar crack. International Journal of Solids and Structures, Vol.37 (No.37). pp. 5079-5096. doi:10.1016/S0020-7683(99)00061-X ISSN 0020-7683.
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Official URL: http://dx.doi.org/10.1016/S0020-7683(99)00061-X
Abstract
We explicitly evaluate the 3-D weight functions for a planar crack in an isotropic, homogeneous material; these give the full stress intensity factors induced by a static point force applied at an arbitrary position. If we Fourier decompose the 3-D weight functions with respect to the z variable then each Fourier mode satisfies the homogeneous equations of elasticity (except at the crack tip) and the boundary conditions on the crack face. Each Fourier mode diverges like r(-1/2) near the crack tip and decays exponentially for non-zero k(z). It is proved that these necessary conditions, which hold everywhere in the elastic material excluding the crack tip, are also sufficient to determine the 3-D weight functions. In particular, the 3-D weight functions can be calculated without considering an explicit loading problem. (C) 2000 Elsevier Science Ltd. All rights reserved.
| Item Type: | Journal Article | ||||
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| Subjects: | Q Science > QC Physics T Technology > TA Engineering (General). Civil engineering (General) |
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| Divisions: | Faculty of Science, Engineering and Medicine > Science > Physics | ||||
| Library of Congress Subject Headings (LCSH): | Fracture mechanics | ||||
| Journal or Publication Title: | International Journal of Solids and Structures | ||||
| Publisher: | Pergamon | ||||
| ISSN: | 0020-7683 | ||||
| Official Date: | September 2000 | ||||
| Dates: |
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| Volume: | Vol.37 | ||||
| Number: | No.37 | ||||
| Number of Pages: | 18 | ||||
| Page Range: | pp. 5079-5096 | ||||
| DOI: | 10.1016/S0020-7683(99)00061-X | ||||
| Status: | Peer Reviewed | ||||
| Publication Status: | Published |
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