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The Inversion and Kelvin's Transformation in Plane Thermoelasticity with Circular or Straight Boundaries

Published online by Cambridge University Press:  09 October 2017

C. K. Chao ,
C. H. Wu  and
K. Ting
C. K. Chao*
Affiliation:
Department of Mechanical EngineeringNational Taiwan University of Science and TechnologyTaipei, Taiwan
C. H. Wu
Affiliation:
Department of Mechanical EngineeringNational Taiwan University of Science and TechnologyTaipei, Taiwan
K. Ting
Affiliation:
Department of Chemical and Materials EngineeringLunghwa University of Science and TechnologyTaoyuan, Taiwan
*
*Corresponding author (ckchao@mail.ntust.edu.tw)
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Abstract

The problem of a circular elastic inclusion perfectly bonded to a matrix of infinite extent and subjected to arbitrarily thermal loading has been solved explicitly in terms of the corresponding homogeneous problem based on the inversion and Kelvin's transformation. It is to be noted that the relations established in this paper between the stress functions are algebraic and do not involve integration or solution of some other equations. Furthermore, the transformation leading from the solution for the homogeneous problem to that for the heterogeneous one is very simple, algebraic and universal in the sense of being independent of loading considered. The case of two bonded half-planes is obtained as a limiting case.

Keywords

Plane thermoelasticityCircular inclusionBonded half-planes
Type
Research Article
Information
Journal of Mechanics , Volume 34 , Issue 5 , October 2018 , pp. 617 - 627
Copyright
Copyright © The Society of Theoretical and Applied Mechanics 2018 

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