Implementation of the Method of Fundamental Solutions and Homotopy Analysis Method for Solving a Torsion Problem of a Rod Made of Functionally Graded Material

Abstract:

The purpose of this paper is the application of Method of Fundamental Solutions (MFS) to the torsion problem of hollow rods made with functionally graded materials. This method belongs to so-called meshless methods. The proposal of the paper is to solve the problem by numerical procedure, which is proper combinations of the Method of Fundamental Solutions, the approximation by Radial Basis Functions (RBF) and Homotopy Analysis Method. The numerical experiment has been performed for the bar with circular cross-section.

• Periodical: Advanced Materials Research (Volumes 123-125)
• Pages: 551-554
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.123-125.551
• Online since: August 2010
• Authors: Anita Uscilowska
• Keywords: Functionally Graded Material (FGM), Homotopy Analysis Method, Method of Fundamental Solution (MFS), Poisson's Equation, Radial Basis Function (RBF), Torsion Problem

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