A boundary-only integral equation method for parabolic problems of another class of anisotropic functionally graded materials. (March 2021)

• Record Type: Journal Article
• Authors: Azis, Moh. Ivan; Abbaszadeh, Mostafa; Dehghan, Mehdi; Solekhudin, Imam
• Is Part Of: Materials today communications. Volume 26(2021)
• Publication Date: 2021-03
• Subjects: Anisotropic functionally graded materials -- Variable coefficients -- Parabolic equation -- Laplace transform -- Boundary element method; Materials science -- Periodicals; 620.11
• DOI: 10.1016/j.mtcomm.2020.101956
• Languages: English
• ISSNs: 2352-4928

Abstract

Abstract: In this paper a combined Laplace transform and boundary element method is used to find numerical solutions to problems of another class of anisotropic functionally graded materials which are governed by a variable coefficients parabolic equation. A transformation is used to reduce the variable coefficients equation to a constant coefficients equation, which is then transformed into a boundary-only integral equation. Some examples are considered to show the validity of the analysis, consistency and accuracy of the numerical solutions. A verification for the effect of the anisotropy and inhomogeneity of the material on the solutions is also examined.