Title of Paper:基于多边形网格的变系数问题边界单元法

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Date of Publication:2022-10-10

Journal:应用力学学报

Affiliation of Author(s):运载工程与力学学部

Issue:2

Page Number:188-194

ISSN No.:1000-4939

Abstract:A new method is developed to deal with domain integrals in boundary element method (BEM) with the polygonal mesh approach for two dimensional variable coefficient problems. Firstly, the shape functions of irregular polygonal mesh are constructed for the interpolation of geometry and physical quantities. Then, the domain integrals over polygonal meshes are converted into line integrals along the polygon perimeter by employing the radial integral method. This method results in a unified scheme to evaluate various polygonal mesh integrals. Finally, three representative numerical examples on the functionally graded materials and structures demonstrate that the relative error of the results calculated by the proposed method is less than 1% by compared with those calculated by the standard finite element method. It can be concluded that the proposed method may achieve satisfied accuracy and efficiency since it does not need any special technique to the integrands or integral domains. ? 2016, Editorial Department of CJAM. All right reserved.

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