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Please use this identifier to cite or link to this item: http://ntour.ntou.edu.tw:8080/ir/handle/987654321/24562

Title: Derivation of anti-plane dynamic Green’s function for several circular inclusions with imperfect interfaces
Authors: Jeng-Tzong Chen;Jia-Nan Ke
Contributors: NTOU:Department of Harbor and River Engineering
Keywords: Time-harmonic Green's function;inclusion;imperfect interface;null-field integral equation;degenerate kernel;Fourier series
Date: 2008
Issue Date: 2011-10-20T08:12:45Z
Publisher: Computer Modelling in Engineering Science
Abstract: abstract:A null-field integral equation is employed to derive the two-dimensional antiplane dynamic Green's functions for a circular inclusion with an imperfect interface. We employ the linear spring model with vanishing thickness to characterize the imperfect interface. Analytical expressions of displacement and stress fields due to time-harmonic antiplane line forces located either in the unbounded matrix or in the circular inclusion are presented. To fully capture the circular geometries, degenerate- kernel expressions of fundamental solutions in the polar coordinate and Fourier series for boundary densities are adopted. Good agreement is made after comparing with the analytical solution derived by Wang and Sudak's results. Parameter study of wave number and interface constant is done. In this paper, we employ the null-field BIE to derive the analytical Green's function instead of choosing the Trefftz bases by using the Wang and Sudak's approach. Special cases of cavity and ideal bonding as well as static solutions are also examined. Besides, two-inclusions case in the matrix with a concentrated force problem is also solved.
Relation: 29(3), pp.111-135
URI: http://ntour.ntou.edu.tw/handle/987654321/24562
Appears in Collections:[河海工程學系] 期刊論文

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