中文摘要：

研究无限介质中周期平行裂纹问题，利用复应力函数在集中载荷作用点和裂纹尖端的奇异性分析及双曲函数的周期性质，求得了问题在远场作用均匀载荷时裂纹尖端应力强度因子的闭合形式解，所得结果与已有的数值解吻合较好，说明了所构造复应力函数的合理性．其结果对于研究多裂纹的干涉作用以及结构和材料的强度设计提供了有意义的参考．

英文摘要：

Periodic parallel cracks in an infinite medium under far-field inplane tensile stress are investigated. By using the singular analysis of the complex stress function at the concentrated load point and the tips of cracks, as well as combining periodicity of the hyperbolic function, a closed form solution of the stress intensity factor to the problem is obtained. A comparison of the present solution with existing numerical results shows a good agreement, which indicates the validity of the complex stress function. The present Solution can be used to study the interaction of multi-cracks and the structural integrity assessment.