Abstract: Based on the conservation law， a very simple method to formulize the stress intensity factors for the multi －indentation under the rigid punches was proposed ．Some of the closed form expressions of the stress intensity factor were derived for the different indentation．The interactive effect of singular stress fields of the multi －indentation was investigated． The equivalent relationship between the periodic cracks and periodic indentations was discussed also． An equivalent crack method had been found．The numerical analysis indicates that the proposed method in present paper has enough precision for engineering applications．

Key words: Fracture , Contact mechanics , Stress intensity factors , Indentation

摘要： 利用守恒律来研究周期阵列压头压痕奇异应力场的应力强度因子的封闭解，同时也研究有限边界压痕的应力强度因子的封闭解。并讨论了周期阵列压痕问题与周期裂纹的关系，建立了等效裂纹模型的研究方法。数值分析的结果表明，此方法具有足够的精度。

关键词: 断裂 , 接触力学 , 应力强度因子 , 压痕