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Numerical solution for elastic inclusion problems by domain integral equation with integration by means of radial basis functions

机译:区域积分方程与径向基函数积分的弹性夹杂问题数值解

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The unknown strains in the inclusions are expressed in terms of a series of radial basis functions (RBF) and polynomials in global coordinates. Based on the radial integration method proposed by Gao [J. Appl. Mech., Trans. ASME 69 (2002) 154, Engng Anal. Bound. Elem. 26 (2002) 905], the volume integrals for the evaluation of strains can be transformed into contour integrals on the inclusion boundaries. As a result of this transformation, there is no need to discretize the inclusions into finite elements. For the determination of the strains, collocation points are distributed at the interior of the inclusions to form a system of linear equations. Numerical results are compared with available analytical solutions and those based on a finite element discretization of the volume integrals.
机译:夹杂物中的未知应变以一系列径向基函数(RBF)和多项式的整体坐标表示。基于高提出的径向积分方法[J.应用机械翻译ASME 69(2002)154,工程英语。界。元素26(2002)905]中,可以将用于评估应变的体积积分转换为包含边界上的轮廓积分。这种转换的结果是,无需将夹杂物离散成有限元。为了确定应变,将结合点分布在夹杂物内部以形成线性方程组。将数值结果与可用的解析解以及基于体积积分的有限元离散化的解析解进行比较。

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