This paper is devoted to numerical modelling of cracking in concrete-like materials by explicitly taking into account microscopic heterogeneities. A numerical method based on peridynamics theory is proposed. The formulation and implementation of the numerical method are first presented. Its efficiency in modelling the initiation and propagation of multiple cracks in heterogeneous materials is then demonstrated. The proposed method is further applied to the description of cracking process induced by drying shrinkage and temperature change in concrete composites containing different types of inclusions. The emphasis is put on the effect of inclusion stiffness on cracking patterns. A series of numerical simulations are performed. Comparisons between numerical results and experimental observations are presented.

通过明确考虑微观异质性，本文致力于混凝土样材料开裂的数值模拟。提出了一种基于周动力学理论的数值方法。首先介绍了数值方法的制定和实现。然后证明了其在异质材料中多个裂纹的萌生和扩展建模方面的效率。所提出的方法进一步应用于描述由干燥收缩和温度变化引起的包含不同类型夹杂物的混凝土复合材料引起的开裂过程。重点放在夹杂物刚度对裂纹模式的影响上。执行一系列数值模拟。给出了数值结果与实验观察结果之间的比较。