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Parallel Volume Integral Equation Method for Two-Dimensional Elastodynamic Analysis

机译:二维弹性动力学分析的平行体积整体方程方法

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The parallel volume integral equation method (PVIEM) is applied for the analysis of two-dimensional elastic wave scattering problems in an unbounded isotropic solid containing various types of multiple multilayered anisotropic inclusions. It should be noted that the volume integral equation method (VIEM) does not require the use of the Green’s function for the anisotropic inclusion — only the Green’s function for the unbounded isotropic matrix is needed. A detailed analysis of the SH wave scattering problem is presented for various types of multiple multilayered orthotropic inclusions. Numerical results are presented for the elastic fields at the interfaces for square and hexagonal packing arrays of various types of multilayered orthotropic inclusions in a broad frequency range of practical interest. Standard parallel programming was used to speed up computation in the VIEM. The PVIEM enables us to investigate the effects of single/multiple scattering, fiber packing type, fiber volume fraction, single/multiple layer(s), multilayer’s shapes and geometry, isotropy/anisotropy, and softness/hardness of various types of multiple multilayered anisotropic inclusions on displacements and stresses at the interfaces of the inclusions and far-field scattering patterns. Also, powerful capabilities of the PVIEM for the analysis of general two-dimensional multiple scattering problems are investigated.
机译:施加平行体积整体式方法(PVIEM)用于分析含有各种类型多层各向异性夹杂物的无界各向同性固体中的二维弹性波散射问题。应当注意,体积积分方程方法(VIEM)不需要使用绿色的函数来各向异性包含 - 仅需要绿色的无界各向同性矩阵的功能。对SH波散射问题的详细分析出现了各种类型多层正交夹杂物。在广泛的频率范围的实际兴趣范围内为各种类型多层正交夹杂物的方形和六边形填料阵列的界面处的弹性场提供数值结果。标准并行编程用于加速VIEM中的计算。 PVIEM使我们能够研究单/多散射,光纤包装型,纤维体积分数,单层/多层,多层的形状和几何形状,各种类型多种多层各向异性各种类型各种类型的柔软/硬度的影响夹杂物和远场散射模式的界面的位移和压力夹杂物。此外,研究了PVIEM对一般二维多散射问题分析的强大功能。

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