Hybrid Fundamental-Solution-Based FEM for Heat Conduction Problems in Orthotropic Materials

QIU Wenkai; WANG Keyong

Volume 34 Issue 4

Dec. 2020

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QIU Wenkai, WANG Keyong. Hybrid Fundamental-Solution-Based FEM for Heat Conduction Problems in Orthotropic Materials[J]. Journal of Shanghai University of Engineering Science, 2020, 34(4): 305-313.

Citation:

QIU Wenkai, WANG Keyong. Hybrid Fundamental-Solution-Based FEM for Heat Conduction Problems in Orthotropic Materials[J]. Journal of Shanghai University of Engineering Science, 2020, 34(4): 305-313.

QIU Wenkai, WANG Keyong. Hybrid Fundamental-Solution-Based FEM for Heat Conduction Problems in Orthotropic Materials[J]. Journal of Shanghai University of Engineering Science, 2020, 34(4): 305-313.

Citation:

QIU Wenkai, WANG Keyong. Hybrid Fundamental-Solution-Based FEM for Heat Conduction Problems in Orthotropic Materials[J]. Journal of Shanghai University of Engineering Science, 2020, 34(4): 305-313.

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Hybrid Fundamental-Solution-Based FEM for Heat Conduction Problems in Orthotropic Materials

QIU Wenkai,
WANG Keyong^,

School of Mechanical and Automotive Engineering, Shanghai University of Engineering Science, Shanghai 201620, China

Received Date: 2020-06-01
Publish Date: 2020-12-30

Abstract

Abstract

A heat conduction analysis of two-dimensional orthotropic materials was carried out by the hybrid fundamental-solution-based finite element method (HFS-FEM). Temperature distributions within the element domain and on the element boundary were independently described by two temperature fields. A linear combination of fundamental solutions was utilized to approximate the intra-element temperature field while standard one-dimensional shape functions were employed to define the frame temperature field. By virtue of the modified variational functional and divergence theorem, the resultant finite element formulation was derived. The effectiveness of the proposed method was verified by comparing two numerical examples with ABAQUS result. The numerical results demonstrate that the proposed method can still keep excellent accuracy even when the element shape degenerates to a situation of extreme distortion. This is one of marked features which differs from conventional finite element methods.
- heat conduction,
- finite element method（FEM）,
- fundamental solution,
- coordinate transformation,
- orthotropic materials

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References(28)

References

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