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

Jungki Lee and Mingu Han
Additional contact information
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

Mathematics, 2020, vol. 8, issue 11, 1-26

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.

Keywords: numerical modelling; multiple isotropic/anisotropic inhomogeneities; three-dimensional volume integral equation method; finite element method; boundary integral equation method; elastostatics/elastodynamics (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/8/11/1866/pdf (application/pdf)
https://www.mdpi.com/2227-7390/8/11/1866/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:8:y:2020:i:11:p:1866-:d:434843

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().