Near and far field scattering of SH waves by multiple multilayered anisotropic circular inclusions using parallel volume integral equation method
Abstract
Purpose
The purpose of this paper is to calculate near field and far field scattering of SH waves by multiple multilayered anisotropic circular inclusions using parallel volume integral equation method (PVIEM) quantitatively.
Design/methodology/approach
The PVIEM is applied for the analysis of elastic wave scattering problems in an unbounded solid containing multiple multilayered anisotropic circular inclusions. It should be noted that this numerical method does not require the use of the Green’s function for the inclusion – only the Green’s function for the unbounded isotropic matrix is needed. This method can also be applied to solve general elastodynamic problems involving inhomogeneous and/or anisotropic inclusions whose shape and number are arbitrary.
Findings
A detailed analysis of the SH wave scattering problem is presented for multiple multilayered orthotropic circular inclusions. Numerical results are presented for the displacement fields at the interfaces and the far field scattering patterns for square and hexagonal packing arrays of multilayered circular inclusions in a broad frequency range of practical interest.
Originality/value
To the best of the authors’ knowledge, the solution for scattering of SH waves by multiple multilayered anisotropic circular inclusions in an unbounded isotropic matrix is not currently available in the literature. However, in this paper, calculation of displacements on interfaces and far field scattering patterns of multiple multilayered anisotropic circular inclusions using PVIEM as a pioneer of numerical modeling enables us to investigate the effects of single/multiple scattering, fiber packing type, fiber volume fraction, single/multiple layer(s), the multilayer’s geometry, isotropy/anisotropy and softness/hardness.
Keywords
Acknowledgements
This research was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Science and ICT, Republic of Korea (Grant No. 2015-R1A2A2A01004531) and 2017 Hongik University Research Fund. The authors would also like to acknowledge the support from Korea Institute of Science and Technology Information (KISTI) supercomputing center through the strategic support program for the supercomputing application research (KSC-2017-C1-0004) and express their sincere appreciation to Dr. Kyunghun Lim for parallelizing and optimizing the VIEM code and Professor Daisuke Takahashi at Center for Computational Sciences, University of Tsukuba for his constructive suggestions.
Citation
Lee, J. and Jeong, H. (2018), "Near and far field scattering of SH waves by multiple multilayered anisotropic circular inclusions using parallel volume integral equation method", Engineering Computations, Vol. 35 No. 1, pp. 432-476. https://doi.org/10.1108/EC-05-2016-0164
Publisher
:Emerald Publishing Limited
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