Electric-current-induced thermal stress around a non-circular rigid inclusion in a two-dimensional nonlinear thermoelectric material

The plane problem of a non-circular rigid inhomogeneity embedded in an infinite thermoelectric matrix under a uniform remote electric current is investigated based on the complex variable method. The inclusion is assumed to be electrically insulated and thermally conductive. Techniques of Faber and...

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Bibliographic Details
Published in:Acta mechanica Vol. 231; no. 11; pp. 4603 - 4619
Main Authors: Yang, Hai-Bing, Yu, Chuan-Bin, Tang, Jie-Yao, Qiu, Jian, Zhang, Xiao-Qing
Format: Journal Article
Language:English
Published: Vienna Springer Vienna 01.11.2020
Springer
Subjects:
Classical and Continuum Physics
Control
Dynamical Systems
Electric properties
Engineering
Engineering Fluid Dynamics
Engineering Thermodynamics
Heat and Mass Transfer
Original Paper
Solid Mechanics
Theoretical and Applied Mechanics
Thermoelectricity
Vibration
ISSN:0001-5970, 1619-6937
Online Access:Get full text
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Summary:The plane problem of a non-circular rigid inhomogeneity embedded in an infinite thermoelectric matrix under a uniform remote electric current is investigated based on the complex variable method. The inclusion is assumed to be electrically insulated and thermally conductive. Techniques of Faber and Fourier series are used to solve the corresponding boundary value problems. The obtained results show that the shape, bluntness and heat conductivity of the inclusion have a significant effect on the interfacial thermal stress distribution induced by the external electric current. In addition, the Von Mises stress concentration around a non-circular inclusion could be lower than that around a circular inclusion by designing the shape and orientation of the inclusion properly.
ISSN:0001-5970
1619-6937
DOI:10.1007/s00707-020-02770-z