Vol. 14, No. 2, 2019

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Stress concentration around an arbitrarily-shaped hole in nonlinear fully coupled thermoelectric materials

Chuan-bin Yu, Hai-Bing Yang, Kun Song and Cun-Fa Gao

Vol. 14 (2019), No. 2, 259–276
Abstract

Using the complex variable method, we study the plane problem of an infinite thermoelectric material containing an arbitrarily-shaped hole under a uniform remote electric current and a uniform energy flux. The nonlinear fully coupled thermoelectric constitutive equations are used to account for the large current or temperature gradient imposed on thermoelectric materials during their engineering service. The hole surface is assumed to be electrically and thermally insulated and mechanically free. The shape of the hole is defined by a polynomial conformal mapping. Fourier expansion technique is used to solve the corresponding boundary value problems. A triangular hole is considered for the purpose of illustration. The bluntness, hole orientation and the load angle as important parameters are considered. Numerical results show that the effects of these parameters on stress distribution around the hole are very significant. By the correct selection of these parameters, the lowest thermal stress concentration can be achieved.

Keywords
thermoelectric materials, conformal mapping, series expansion, arbitrarily-shaped holes, thermal stress.
Milestones
Received: 20 September 2018
Revised: 24 March 2019
Accepted: 29 May 2019
Published: 26 July 2019
Authors
Chuan-bin Yu
State Key Laboratory of Mechanics and Control of Mechanical Structures
Nanjing University of Aeronautics and Astronautics
Nanjing, 210016
China
Hai-Bing Yang
Department of Mechanics Engineering, School of Civil Engineering and Transportation
South China University of Technology
Guangzhou, 510641
China
Kun Song
State Key Laboratory of Mechanics and Control of Mechanical Structures
Nanjing University of Aeronautics and Astronautics
Nanjing, 210016
China
Cun-Fa Gao
State Key Laboratory of Mechanics and Control of Mechanical Structures
Nanjing University of Aeronautics and Astronautics
Nanjing, 210016
China