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Please use this identifier to cite or link to this item: http://ntour.ntou.edu.tw:8080/ir/handle/987654321/51850

Title: Dynamic Green’s function for multiple circular inclusions with imperfect interfaces using the collocation multipole method
Authors: W M Lee
J T Chen
W M Young
Contributors: 國立臺灣海洋大學:河海工程學系
Keywords: Dynamic Green's function
Anti-plane
Inclusion
Imperfect interface
Collocation multipole method
Date: 2018
Issue Date: 2018-12-27T07:56:43Z
Publisher: Engineering Analysis with Boundary Elements
Abstract: Abstract: This paper presents a semi-analytical approach to solve anti-plane dynamic Green's functions for an elastic infinitely extended isotropic solid (matrix) containing multiple circular inclusions with imperfect interfaces. A linear spring model with vanishing thickness is employed to character the imperfect interface. The multipole expansions of anti-plane displacement of the matrix and inclusion, induced by a time-harmonic anti-plane line force located in the matrix or in the inclusion, are expanded by using Hankel and Bessel functions, respectively. The imperfect interface condition is satisfied by uniformly collocating points along the interface of each inclusion. For the imperfect interface condition, the normal derivative of the anti-plane displacement with respect to a non-local polar coordinate system is developed without any truncation error for multiply-connected domain problems. For the case of one circular inclusion, the proposed quasi-static stress field matches well with the analytical static solution. The proposed quasi-static stress fields containing two and three circular inclusions are critically compared with those calculated by static analysis using the finite element method. Finally, extensive studies are presented to investigate the effects of the frequency of excitation, imperfect interface and separation between inclusions on the dynamic Green's functions.
Relation: 94 pp.113-121
URI: http://ntour.ntou.edu.tw:8080/ir/handle/987654321/51850
Appears in Collections:[河海工程學系] 期刊論文

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