The analytical solutions for the mode-I and mode-II stress intensity factor (SIF) of arbitrary distributed offset parallel cracks in brittle solids were generated based on the Kachanov method and superposition principle. By analyzing the SIF ratio, effects of the horizontal interval, vertical interval, crack inclination angle and crack length on the interaction of offset parallel cracks were estimated, and the interference area of the crack was determined theoretically. Numerical models were established using the finite element method (FEM) to show the performance of the present method, and the relationship between crack propagation and crack interaction was discussed. The results show that the SIFs obtained from the present method agree well with the accurate ones. The interaction of offset parallel cracks contains three types, i.e. reinforcing effect, shielding effect and null-effect, which can convert mutually with the change in interval, crack inclination angle and crack length. The interference area of the crack can be divided into reinforcing, shielding area and null-effect area which are symmetric about the crack. The reinforcing effect facilitates crack propagation while the shielding effect inhibits crack propagation.

基于Kachanov方法和叠加原理，生成了脆性固体中任意分布的偏置平行裂纹的I型和II型应力强度因子（SIF）的解析解。通过分析SIF比，估计水平间距，垂直间距，裂纹倾角和裂纹长度对错位平行裂纹相互作用的影响，并从理论上确定裂纹的干涉面积。利用有限元方法建立了数值模型，说明了该方法的性能，并讨论了裂纹扩展与裂纹相互作用的关系。结果表明，通过本方法获得的SIF与准确的SIF吻合良好。偏置平行裂纹的相互作用包括三种类型，即 增强效应，屏蔽效应和零效应，它们可以随着间隔，裂纹倾角和裂纹长度的变化而相互转换。裂纹的干扰区域可分为关于裂纹对称的增强区域，屏蔽区域和零影响区域。增强效果促进裂纹扩展，而屏蔽效果则抑制裂纹扩展。