A novel boundary-integral based finite element method for 2D and 3D thermo-elasticity problems
Date
2012
Authors
Cao, Changyong
Qin, Qing Hua
Yu, Aibing
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Volume Title
Publisher
Taylor & Francis Group
Abstract
In this article a new hybrid boundary integral-based (HBI) finite element method (FEM) is presented for analyzing two-dimensional (2D) and three-dimensional (3D) thermoelastic problems with arbitrary distribution of body force and temperature changes. The method of particular solution is used to decompose the displacement field into homogeneous part and particular part. The homogeneous solution is obtained by using the HBI-FEM with fundamental solutions, yet the particular solution related to the body force and temperature change is approximated by radial basis function (RBF). The detailed formulation for both 2D and 3D HBI-FEM for thermoelastic problems are given, and two different approaches for treating the inhomogenous terms are presented and compared. Five numerical examples are presented to demonstrate the accuracy and performance of the proposed method. When compared with the existing analytical solutions or ABAQUS results, it is found that the proposed method works well for thermoelastic problems and also when using a very coarse mesh, results with satisfactory accuracy can be obtained.
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Keywords
Keywords: Body forces; Fundamental solutions; Hybrid FEM; Particular solution; Radial basis functions; Finite element method; Radial basis function networks; Temperature; Thermoelasticity; Three dimensional computer graphics Body force; Fundamental solution; Hybrid FEM; Particular solution; Radial basis function; Temperature; Thermoelasticity
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Source
Journal of Thermal Stresses
Type
Journal article
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2037-12-31
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