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Please use this identifier to cite or link to this item: http://ntour.ntou.edu.tw:8080/ir/handle/987654321/24336

Title: Dual boundary element analysis using complex variables for potential problems with or without a degenerate bound
Authors: 陳正宗;陳鈺文
J.T. Chen;Y.W. Chen
Contributors: NTOU:Department of Harbor and River Engineering
Keywords: Complex-variable BEM;Dual BEM;Degenerate boundary;Cauchy integral formula and Hadamard integral formula
Date: 2000-10
Issue Date: 2011-10-20T08:11:30Z
Publisher: Engineering Analysis with Boundary Elements
Abstract: Abstract:The dual boundary element method in the real domain proposed by Hong and Chen in 1988 is extended to the complex variable dual boundary element method. This novel method can simplify the calculation for a hypersingular integral, and an exact integration for the influence coefficients is obtained. In addition, the Hadamard integral formula is obtained by taking the derivative of the Cauchy integral formula. The two equations (the Cauchy and Hadamard integral formula) constitute the basis for the complex variable dual boundary integral equations. After discretizing the two equations, the complex variable dual boundary element method is implemented. In determining the influence coefficients, the residue for a single-order pole in the Cauchy formula is extended to one of higher order in the Hadamard formula. In addition, the use of a simple solution and equilibrium condition is employed to check the influence matrices. To extract the finite part in the Hadamard formula, the extended residue theorem is employed. The role of the Hadamard integral formula is examined for the boundary value problems with a degenerate boundary. Finally, some numerical examples, including the potential flow with a sheet pile and the torsion problem for a cracked bar, are considered to verify the validity of the proposed formulation. The results are compared with those of real dual BEM and analytical solutions where available. A good agreement is obtained. (C) 2000 Elsevier Science Ltd. All rights reserved.
Relation: 24(9), pp.671-684
URI: http://ntour.ntou.edu.tw/handle/987654321/24336
Appears in Collections:[河海工程學系] 期刊論文

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