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- W133727281 abstract "In this chapter, a fast multipole boundary element method (BEM) is applied to 2D elastostatics, which successfully simulates 2D elastic plate with randomly distributed inclusions by combining with similar subregion approach. Calculation for effective properties of 2D elastic body with 1,600 randomly distributed circular inclusions as shown by diagram in the chapter. Numerical tests show that this method is remarkable in problems including large number of inclusions. BEM has remarkable advantages of dimension reduction and higher accuracy, but the conventional BEM is not efficient for large-scale problems because the matrix of the resulted algebraic equations is dense and asymmetric. Study on properties and failure of composite materials has attracted much attention in recent years. Generalized minimum residual method (GMRES) is used to solve the equation system iteratively. The numerical results show that the scheme presented is applicable to certain large-scale problems. The behavior of materials with many inclusions is of great interest recently. The method proposed in the chapter can be extended to more applications in this area." @default.
- W133727281 created "2016-06-24" @default.
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- W133727281 date "2003-01-01" @default.
- W133727281 modified "2023-10-14" @default.
- W133727281 title "Simulation of 2D elastic solid with large number of inclusions using fast multipole BEM" @default.
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- W133727281 doi "https://doi.org/10.1016/b978-008044046-0.50180-9" @default.
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