本文以球铁为背景，提出一种分析多夹杂双相非均质材料的力学模型。在脆断情 况下，用弹性力学求解混合边值问题的复变函数方法求得了中心夹杂物及基体的应力 场和位移场的完全解。当中心夹杂远离周围夹杂时，本文的解将退化为双相单夹杂物 的精确解。用本文的解分析了双相非均质材料的各种断裂特征和现象。分析结果与我 们所进行的球铁微观起裂的动态实验观察相符合。 In this paper, based on ductile iron, a mechanical model for analyzing multi-inclusion heterogeneous materials is proposed. In the case of brittle fracture, the complete solution of the stress field and the displacement field of the central inclusions and the matrix is ​​obtained by the complex function method of elasto-mechanics to solve the mixed boundary value problem. When the center inclusion is far away from the surrounding inclusions, the solution of this paper will degenerate into the exact solution of the dual-phase single inclusion. The fracture characteristics and phenomena of two-phase heterogeneous materials are analyzed by this paper. The analysis results are consistent with the dynamic experimental observations of microscopic initiation of ductile iron.