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Please use this identifier to cite or link to this item: http://ntour.ntou.edu.tw:8080/ir/handle/987654321/24394

Title: Null-field Integral Equations for Stress Field around Circular Holes under Antiplane Shear
Authors: Jeng-Tzong Chen;Wen-Cheng Shen;An-Chien Wu
Contributors: NTOU:Department of Harbor and River Engineering
Keywords: antiplane deformation;null-field integral equation;degenerate kernel;Fourier series;circular hole;Laplace problem
Date: 2006-03
Issue Date: 2011-10-20T08:12:05Z
Publisher: Engineering Analysis with Boundary Elements
Abstract: abstract:In this paper, we derive the null-field integral equation for a medium containing circular cavities with arbitrary radii and positions under uniformly remote shear. To fully capture the circular geometries, separate expressions of fundamental solutions in the polar coordinate and Fourier series for boundary densities are adopted. By moving the null-field point to the boundary, singular integrals are transformed to series sums after introducing the concept of degenerate kernels. The solution is formulated in a manner of a semi-analytical form since error purely attributes to the truncation of Fourier series. The two-hole problems are revisited to demonstrate the validity of our method. The bounded-domain approaches using either displacement or stress approaches are also employed. The proposed formulation has been generalized to multiple cavities in a straightforward way without any difficulty.
Relation: 30(3), pp.205–217
URI: http://ntour.ntou.edu.tw/handle/987654321/24394
Appears in Collections:[河海工程學系] 期刊論文

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