A three-phase elliptical inhomogeneity in nonlinearly coupled thermoelectric materials

被引：0

作者：

Wang, Xu ^{[1
]}

Schiavone, Peter ^{[2
]}

机构：

[1] East China Univ Sci & Technol, Sch Mech & Power Engn, 130 Meilong Rd, Shanghai 200237, Peoples R China

[2] Univ Alberta, Donadeo Innovat Ctr Engn 10 203, Dept Mech Engn, Edmonton, AB T6G 1H9, Canada

来源：

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 2022年 / 73卷 / 05期

基金：

加拿大自然科学与工程研究理事会;

关键词：

Three-phase elliptical inhomogeneity; Thermoelectric material; Complex variable method; Closed-form solution; 2-DIMENSIONAL PROBLEM; CRACK; INCLUSIONS; POWER; HOLE;

D O I：

10.1007/s00033-022-01823-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We use complex variable techniques to derive a rigorous closed-form solution to the nonlinearly coupled thermoelectric problem associated with a three-phase elliptical inhomogeneity with two confocal elliptical interfaces when the matrix is subjected to uniform remote electric current density and uniform remote energy flux. Explicit expressions for each of the six analytic functions characterizing the thermoelectric fields in the three phases are obtained. The analysis indicates that the internal temperature exhibits a quadratic distribution within the elliptical inhomogeneity.

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页数：10

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