Hypersingular integral equation for triple circular arc cracks in an elastic half-plane

Triple circular arc cracks problems subjected to shear stress in half-plane elasticity is investigated. Modified complex potentials (MCP) with the free traction boundary condition are applied to formulate the hypersingular integral equation (HSIE) for the problems. The unknown crack opening displace...

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書誌詳細
主要な著者: Husin, Nur Hazirah, Nik Long, Nik Mohd Asri, Senu, Norazak
フォーマット: 論文
言語:English
出版事項: Universiti Putra Malaysia 2021
オンライン・アクセス:http://psasir.upm.edu.my/id/eprint/97586/1/Nik%20Long%2C%20N.%20M.%20A.-387-396.pdf
http://psasir.upm.edu.my/id/eprint/97586/
https://mjms.upm.edu.my/lihatmakalah.php?kod=2021/September/15/3/387-396
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要約:Triple circular arc cracks problems subjected to shear stress in half-plane elasticity is investigated. Modified complex potentials (MCP) with the free traction boundary condition are applied to formulate the hypersingular integral equation (HSIE) for the problems. The unknown crack opening displacements (COD) of the HSIE are solved numerically by using the appropriate quadrature formulas. Mode I and Mode II of nondimensional stress intensity factor (SIF) at all cracks tips are presented for the problems of three adjacent circular arc cracks, three circular arc cracks with dissimilar radius and three circular arc cracks in series in a half-plane. The results exhibit that as the crack opening angle increases and the distance of cracks closer to the boundary of half-plane, the nondimensional SIF increases. This indicates that the strength of material becomes weaker and the tendency of material to fail is higher.