A meshless model for transient heat conduction analyses of 3D axisymmetric functionally graded solids

doi:10.1088/1674-1056/22/12/120204

Abstract A meshless numerical model is developed for analyzing transient heat conductions in three-dimensional (3D) axisymmetric continuously nonhomogeneous functionally graded materials (FGMs). Axial symmetry of geometry and boundary conditions reduces the original 3D initial-boundary value problem into a two-dimensional (2D) problem. Local weak forms are derived for small polygonal sub-domains which surround nodal points distributed over the cross section. In order to simplify the treatment of the essential boundary conditions, spatial variations of the temperature and heat flux at discrete time instants are interpolated by the natural neighbor interpolation. Moreover, the using of three-node triangular finite element method (FEM) shape functions as test functions reduces the orders of integrands involved in domain integrals. The semi-discrete heat conduction equation is solved numerically with the traditional two-point difference technique in the time domain. Two numerical examples are investigated and excellent results are obtained, demonstrating the potential application of the proposed approach.

Keywords: meshless method transient heat conduction problem axisymmetric functionally graded materials natural neighbor interpolation

Received: 02 August 2013
Revised: 21 August 2013
Accepted manuscript online:

PACS:	02.60.Cb	(Numerical simulation; solution of equations)
	02.60.Lj	(Ordinary and partial differential equations; boundary value problems)
	44.10.+i	(Heat conduction)

Fund: Project supported by the National Natural Science Foundation of China (Grant No. 11002054) and the Foundation of Hunan Educational Committee (Grant No. 12C0059).

Corresponding Authors: Chen Shen-Shen
E-mail: chenshenshen@tsinghua.org.cn

Cite this article:

Li Qing-Hua (李庆华), Chen Shen-Shen (陈莘莘), Zeng Ji-Hui (曾骥辉) A meshless model for transient heat conduction analyses of 3D axisymmetric functionally graded solids 2013 Chin. Phys. B 22 120204

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A meshless model for transient heat conduction analyses of 3D axisymmetric functionally graded solids

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