Multiple Scattering Using Parallel Volume Integral Equation Method: Interaction of SH Waves with Multiple Multilayered Anisotropic Elliptical InclusionsReportar como inadecuado




Multiple Scattering Using Parallel Volume Integral Equation Method: Interaction of SH Waves with Multiple Multilayered Anisotropic Elliptical Inclusions - Descarga este documento en PDF. Documentación en PDF para descargar gratis. Disponible también para leer online.

Mathematical Problems in Engineering - Volume 2015 2015, Article ID 809320, 48 pages -

Research ArticleDepartment of Mechanical and Design Engineering, Hongik University, 2639 Sejong-ro, Jochiwon-eup, Sejong City 339-701, Republic of Korea

Received 30 March 2015; Revised 27 June 2015; Accepted 21 July 2015

Academic Editor: Yan-Jun  Liu

Copyright © 2015 Jungki Lee et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

The parallel volume integral equation method PVIEM is applied for the analysis of elastic wave scattering problems in an unbounded isotropic solid containing multiple multilayered anisotropic elliptical inclusions. This recently developed numerical method does not require the use of Green’s function for the multilayered anisotropic inclusions; only Green’s function for the unbounded isotropic matrix is needed. This method can also be applied to solve general two- and three-dimensional elastodynamic problems involving inhomogeneous and-or multilayered anisotropic inclusions whose shape and number are arbitrary. A detailed analysis of the SH wave scattering is presented for multiple triple-layered orthotropic elliptical inclusions. Numerical results are presented for the displacement fields at the interfaces for square and hexagonal packing arrays of triple-layered elliptical inclusions in a broad frequency range of practical interest. It is necessary to use standard parallel programming, such as MPI message passing interface, to speed up computation in the volume integral equation method VIEM. Parallel volume integral equation method as a pioneer of numerical analysis enables us to investigate the effects of single-multiple scattering, fiber packing type, fiber volume fraction, single-multiple layers, multilayer’s shape and geometry, isotropy-anisotropy, and softness-hardness of the multiple multilayered anisotropic elliptical inclusions on displacements at the interfaces of the inclusions.





Autor: Jungki Lee, Hyechang Lee, and Hogwan Jeong

Fuente: https://www.hindawi.com/



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