A homogeneous conductive medium containing random sets of identical spherical inclusions is considered. The self-consistent effective medium method is used for solution of the homogenization problem and calculation of the effective thermal conductivity parameters of the composite. For time-varying fields, the effective conductivity parameters are non-local operators with respect to time. The effective medium method allows reducing the homogenization problem to solution of a system of non-linear equations for the Laplace transforms of the kernels of these operators. An efficient numerical algorithm of solution of this system is proposed. Examples of construction of these operators for the composites with copper and glass phases are considered. The Green functions of the corresponding effective media are compared with the Green function of the media with static effective parameters of thermal conductivity.

考虑了一种均匀的导电介质，其中包含随机的一组相同的球形夹杂物。自洽有效介质法用于解决均质化问题和计算复合材料的有效导热系数。对于随时间变化的场，有效电导率参数是相对于时间的非局部算符。有效的介质方法允许将均化问题简化为这些算子的核的拉普拉斯变换的非线性方程组的解。提出了一种有效的求解该系统的数值算法。考虑了具有铜和玻璃相的复合材料的这些操作剂的构造实例。