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Three-Dimensional Volume Integral Equation Method for Solving Isotropic/Anisotropic Inhomogeneity Problems

Author

Listed:
  • Jungki Lee

    (Department of Mechanical and Design Engineering, Hongik University, Sejong City 30016, Korea)

  • Mingu Han

    (Department of Mechanical and Design Engineering, Hongik University, Sejong City 30016, Korea)

Abstract

In this paper, the volume integral equation method (VIEM) is introduced for the analysis of an unbounded isotropic solid composed of multiple isotropic/anisotropic inhomogeneities. A comprehensive examination of a three-dimensional elastostatic VIEM is introduced for the analysis of an unbounded isotropic solid composed of isotropic/anisotropic inhomogeneity of arbitrary shape. The authors hope that the volume integral equation method can be used to compute critical values of practical interest in realistic models of composites composed of strong anisotropic and/or heterogeneous inhomogeneities of arbitrary shapes.

Suggested Citation

  • Jungki Lee & Mingu Han, 2020. "Three-Dimensional Volume Integral Equation Method for Solving Isotropic/Anisotropic Inhomogeneity Problems," Mathematics, MDPI, vol. 8(11), pages 1-26, October.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:11:p:1866-:d:434843
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    References listed on IDEAS

    as
    1. Jungki Lee & Hyechang Lee & Hogwan Jeong, 2015. "Multiple Scattering Using Parallel Volume Integral Equation Method: Interaction of SH Waves with Multiple Multilayered Anisotropic Elliptical Inclusions," Mathematical Problems in Engineering, Hindawi, vol. 2015, pages 1-48, September.
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