文章基本信息

标题：Numerical simulation of two-dimensional modified Helmholtz problems for anisotropic functionally graded materials
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作者：Moh. Ivan Azis ; Imam Solekhudin ; Muh. Hajarul Aswad 等
期刊名称：Journal of King Saud University - Science
印刷版ISSN：1018-3647
出版年度：2020
卷号：32
期号：3
页码：2096-2102
DOI：10.1016/j.jksus.2020.02.020
语种：English
出版社：Elsevier
摘要：Highlights•The paper focuses on finding solutions to modified Helmholtz BVPs of anisotropic FGMs.AbstractIn this paper we consider the modified Helmholtz type equation governing 2D-boundary value problems for anisotropic functionally graded materials (FGMs) with Dirichlet and Neumann boundary conditions. The persistently spatially changing diffusion and leakage factor coefficients involved in the governing equation indicate the inhomogeneity of the material under consideration. And the anisotropic diffusion coefficients indicate the material’s anisotropy. Some particular examples of problems are solved numerically using a boundary element method (BEM). The results show the accuracy and consistency of the numerical solutions, the effect of the coefficientβxvalues on the solutions, and the impact of the inhomogeneity and the isotropy of the materials to the solutions.
关键词：Boundary element method;Modified Helmholtz problems;Anisotropic functionally graded media