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Multiple Scattering Using Parallel Volume Integral Equation Method: Interaction of SH Waves with Multiple Multilayered Anisotropic Elliptical Inclusions
Joint Authors
Lee, Hyechang
Jeong, Hogwan
Lee, Jung-Ki
Source
Mathematical Problems in Engineering
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-48, 48 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-09-17
Country of Publication
Egypt
No. of Pages
48
Main Subjects
Abstract EN
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 layer(s), 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.
American Psychological Association (APA)
Lee, Jung-Ki& Lee, Hyechang& Jeong, Hogwan. 2015. Multiple Scattering Using Parallel Volume Integral Equation Method: Interaction of SH Waves with Multiple Multilayered Anisotropic Elliptical Inclusions. Mathematical Problems in Engineering،Vol. 2015, no. 2015, pp.1-48.
https://search.emarefa.net/detail/BIM-1074777
Modern Language Association (MLA)
Lee, Jung-Ki…[et al.]. Multiple Scattering Using Parallel Volume Integral Equation Method: Interaction of SH Waves with Multiple Multilayered Anisotropic Elliptical Inclusions. Mathematical Problems in Engineering No. 2015 (2015), pp.1-48.
https://search.emarefa.net/detail/BIM-1074777
American Medical Association (AMA)
Lee, Jung-Ki& Lee, Hyechang& Jeong, Hogwan. Multiple Scattering Using Parallel Volume Integral Equation Method: Interaction of SH Waves with Multiple Multilayered Anisotropic Elliptical Inclusions. Mathematical Problems in Engineering. 2015. Vol. 2015, no. 2015, pp.1-48.
https://search.emarefa.net/detail/BIM-1074777
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1074777