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Please use this identifier to cite or link to this item: http://ntour.ntou.edu.tw:8080/ir/handle/987654321/24545

Title: Regularized meshless methods for anti-plane shear problems with multiple inclusions
Authors: K. H. Chen;J. T. Chen;J. H. Kao
Contributors: NTOU:Department of Harbor and River Engineering
Keywords: antiplane shear;elastic;inclusion;MFS;regularized meshless method;hypersingularity;displacement field
Date: 2008-02-26
Issue Date: 2011-10-20T08:12:40Z
Publisher: International Journal for Numerical Methods in Engineering
Abstract: Abstract:In this paper, we employ the regularized meshless method to solve antiplane shear problems with multiple inclusions. The solution is represented by a distribution of double-layer potentials. The singularities of kernels are regularized by using a subtracting and adding-back technique. Therefore, the troublesome singularity in the method of fundamental solutions (MFS) is avoided and the diagonal terms of influence matrices are determined. An inclusion problem is decomposed into two parts: one is the exterior problem for a matrix with holes subjected to remote shear, the other is the interior problem for each inclusion. The two boundary densities, essential and natural data, along the interface between the inclusion and matrix satisfy the continuity and equilibrium conditions. A linear algebraic system is obtained by matching boundary conditions and interface conditions. Finally, numerical results demonstrate the accuracy of the present solution. Good agreements are obtained and compare well with analytical solutions and Gong's results. Copyright © 2007 John Wiley & Sons, Ltd.
Relation: 73(9), pp.1251-1273
URI: http://ntour.ntou.edu.tw/handle/987654321/24545
Appears in Collections:[河海工程學系] 期刊論文

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