A model based on the concept of interface crack bridging and thermofluctuation theory is proposed for analyzing the efficiency of crack self-healing in composite materials in view of three main stages: (1) crack initiation and growth under external load, (2) self-healing activation, and (3) self-healing with partial or complete bond recovery between crack faces. A system of singular integro-differential equations is derived for numerical estimations of bond tractions in bridging zones during their formation and stress intensity factors (major characteristics of crack self-healing efficiency) with account of external loads and bond tractions. Kinetic estimates are presented for the time of bond recovery during the formation of a crack bridging zone. The model is applied to an interface crack between two dissimilar materials with a self-healing adhesive.

中文翻译：

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裂纹自愈动力学建模

提出了一种基于界面裂纹桥接和热波动理论的模型，从三个主要阶段分析复合材料中裂纹自愈的效率：（1）外载荷作用下的裂纹萌生和扩展，（2）自修复。愈合激活，和（3）自我修复，裂纹面之间部分或完全的结合恢复。一个奇异的积分微分方程系统被推导出来用于桥接区形成过程中的粘结牵引力和应力强度因子（裂纹自愈效率的主要特征）的数值估计，并考虑了外部载荷和粘结牵引力。给出了裂纹桥接区形成过程中粘结恢复时间的动力学估计。