NUMERICAL SOLUTIONS FOR A NEARLY CIRCULAR CRACK WITH DEVELOPING CUSPS UNDER SHEAR LOADING |
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| Authors: | N. M. A. Nik Long L. F. Koo Z. K. Eshkuvatov |
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| Affiliation: | N. M. A. Nik Long1,2 L. F. Koo1 Z. K. Eshkuvatov1,2 (1Dpartment of Mathematics,Faculty of Science,University Putra Malaysia,Serdang 43400,Selangor,Malaysia) (2Institute for Mathematical Research,Malaysia) |
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| Abstract: | In this paper, we study the behavior of the solution at the crack edges for a nearly circular crack with developing cusps subject to shear loading. The problem of finding the resulting force can be written in the form of a hypersingular integral equation. The equation is then transformed into a similar equation over a circular region using conformal mapping. The equation is solved numerically for the unknown coeffcients, which will later be used in finding the stress intensity factors. The sliding and teari... |
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| Keywords: | nearly circular crack numerical method Galerkin method stress intensity factors hypersingular integral equation shear loading conformal mapping |
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