Abstract The paper studies the problem of an extended thermoelectric spheroid placed in a thermoelectric matrix. The external electric field is assumed to be uniform. Despite the nonlinear nature of the equations, the solution of the problem can be found as a sum of Legendre functions and polynomials. The solution obtained is used to find the effective values of electrical and thermal conductivities, as well as the thermopower for a composite medium consisting of a set of randomly located spheroids. As an example of the model application, we consider a composite consisting of spheroidal inclusions MgAg0.97Sb0.99 placed in a matrix of Bi2Te3.

中文翻译：

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热电材料的 Maxwell-Garnett 模型

摘要 本文研究了热电矩阵中放置扩展热电球体的问题。假设外部电场是均匀的。尽管方程具有非线性特性，但问题的解决方案可以通过勒让德函数和多项式的总和找到。所获得的解用于计算由一组随机定位的球体组成的复合介质的电导率和热导率的有效值，以及热电势。作为模型应用的一个示例，我们考虑由放置在 Bi2Te3 基体中的球状夹杂物 MgAg0.97Sb0.99 组成的复合材料。