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Keywords = volume integral equation method (VIEM)

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43 pages, 17671 KB  
Article
Volume Integral Equation Method Solution for Spheroidal Inclusion Problem
by Jungki Lee and Mingu Han
Materials 2021, 14(22), 6996; https://doi.org/10.3390/ma14226996 - 18 Nov 2021
Cited by 2 | Viewed by 1914
Abstract
In this paper, the volume integral equation method (VIEM) is introduced for the numerical analysis of an infinite isotropic solid containing a variety of single isotropic/anisotropic spheroidal inclusions. In order to introduce the VIEM as a versatile numerical method for the three-dimensional elastostatic [...] Read more.
In this paper, the volume integral equation method (VIEM) is introduced for the numerical analysis of an infinite isotropic solid containing a variety of single isotropic/anisotropic spheroidal inclusions. In order to introduce the VIEM as a versatile numerical method for the three-dimensional elastostatic inclusion problem, VIEM results are first presented for a range of single isotropic/orthotropic spherical, prolate and oblate spheroidal inclusions in an infinite isotropic matrix under uniform remote tensile loading. We next considered single isotropic/orthotropic spherical, prolate and oblate spheroidal inclusions in an infinite isotropic matrix under remote shear loading. The authors hope that the results using the VIEM cited in this paper will be established as reference values for verifying the results of similar research using other analytical and numerical methods. Full article
(This article belongs to the Special Issue Computational Mechanics of Structures and Materials)
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26 pages, 7274 KB  
Article
Three-Dimensional Volume Integral Equation Method for Solving Isotropic/Anisotropic Inhomogeneity Problems
by Jungki Lee and Mingu Han
Mathematics 2020, 8(11), 1866; https://doi.org/10.3390/math8111866 - 26 Oct 2020
Cited by 4 | Viewed by 2690
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 [...] Read more.
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. Full article
(This article belongs to the Special Issue Numerical Modeling and Analysis)
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