A combined laplace transform and boundary element method for unsteady laplace problems of several classes of anisotropic functionally graded materials

Azis, Moh. Ivan and Solekhudin, Imam and Aswad, Muh. Hajarul and Hamzah, Suharman and Jalil, Abd. Rasyid (2021) A combined laplace transform and boundary element method for unsteady laplace problems of several classes of anisotropic functionally graded materials. Engineering Letters, 29 (2). 534 – 542. ISSN 1816093X

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Abstract

In this paper a combined Laplace transform and boundary element method is used to find numerical solutions to unsteady problems of anisotropic functionally graded materials governed by a Laplace type equation. A mathematical transformation is used to transform the variable coefficients equation to a constant coefficients equation from which a boundary-only integral equation is obtained. In addition, the analysis also results in several classes of inhomogeneity functions for the functionally graded materials. Some examples are considered to show the validity of the analysis and accuracy of the numerical solutions. A verification for the effect of the anisotropy and inhomogeneity of the material on the solutions is also demonstrated. © 2021, International Association of Engineers. All rights reserved.

Item Type: Article
Additional Information: Cited by: 10
Uncontrolled Keywords: Anisotropy; Boundary element method; Integral equations; Laplace transforms; Numerical methods; Sailing vessels; Constant coefficients; Inhomogeneities; Laplace problem; Numerical solution; Unsteady problems; Variable coefficients; Functionally graded materials
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Mathematics and Natural Sciences > Mathematics Department
Depositing User: Sri JUNANDI
Date Deposited: 06 Oct 2024 10:08
Last Modified: 06 Oct 2024 10:08
URI: https://ir.lib.ugm.ac.id/id/eprint/8747

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