Numerical analysis of SH wave field calculations for various types of a multilayered anisotropic inclusion

Near and far field scattering of SH waves by multiple multilayered anisotropic circular inclusions using parallel volume integral equation method

“…For the analysis of multiple multilayered anisotropic inclusions of random shapes in the VIEM, there is no change in the basic formulation from the single multilayered anisotropic inclusion of different shapes case (Lee and Mal, 1995). In this paper, extending the previous paper (Lee et al , 2016), “quantitative” numerical results using the parallel volume integral equation technique are shown for not only the displacement fields at the interfaces (inside inclusions) but also the far field scattering patterns (in the matrix) for square and hexagonal packing arrays of multilayered orthotropic circular inclusions in a broad frequency range of practical interest. The more general characteristics including interaction effects of the SH wave scattering by multiple multilayered anisotropic circular inclusions are investigated.…”

“…To the best of the authors’ knowledge, neither an analytical answer to this problem nor a closed form solution for the two-dimensional time-harmonic elastodynamic Green’s function for the orthotropic material is currently available in the literature. Thus, to compare the calculated results with obtainable analytical solutions, simple packing sequences (hexagonal and square) and isotropic circular inclusions in an unbounded isotropic elastic solid (standard graphite/epoxy composites having volume fraction of 0.6 and with a frequency of 10 MHz) were considered in the previous papers (Lee and Mal, 1995; Lee et al , 2016). Real and imaginary parts of the calculated average strains in the central isotropic graphite fiber by an analytical method using the generalized self-consistent model (Yang and Mal, 1993) and the volume integral equation method for both: the square packing of 9 and 25 isotropic circular inclusions; and the hexagonal packing of 7 and 19 isotropic circular inclusions were compared to one another. …”

“…In the previous paper (Lee et al , 2016), a comprehensive analysis of the SH wave scattering was presented for various types of a single multilayered orthotropic elliptical inclusion. The major axis of the elliptical inclusion was presumed to be oriented at 0° or 90° with the x -axis and the aspect ratio was assumed to be 1.0 (circular) and 0.75.…”

“…The basic characteristics of the SH wave scattering by a single multilayered anisotropic inclusion of different shapes have been investigated. It ought to be noted that, as the number of finite elements in the single inclusion used in the VIEM was only 3,600, it was not so critical to use the PVIEM for analyzing the SH wave scattering by a single multilayered inclusion in Lee et al (2016).…”

Dynamic analysis of anisotropic half space containing an elliptical inclusion under SH waves

“…Then, the form of wave front was given. Numerical analysis of SH wave field was investigated by Lee et al By applying Parallel Volume Integral Equation Method (PVIEM), wave scattering in an unbounded isotropic soild is analyzed. The numerical method proposed in this work is widely applicable for many kinds of elastodynamic problems.…”