含双周期裂纹群弹性板的弱化问题  

WEAKENING OF AN ELASTIC PLAIE BY A DOUBLLY-PERIODIC ARRAY OF CRACKS

作　　者：王庚荪[1] 袁建新[1] 

机构地区：[1]中科院武汉岩土力学研究所

出　　处：《力学学报》1995年第S1期37-50,共14页Chinese Journal of Theoretical and Applied Mechanics

摘　　要：应用隔离分析与叠加原理，研究了沿一个方向共线的双周期裂纹群的相互作用，提出了一种新的近似解法，将裂纹尖端应力强度因子及裂纹表面间断位移用解析或半解析的式子直接表达出来，进而求出双周期裂纹板的有效弹模及柔度矩阵，算法简单，结果精确，是一种处理双周期裂纹群问题的有效方法。The interaction of cracks in a doubly periodic arrey with one collinear directionis analysed and a new approximate method of solving the problem is developed based onthe segragation analysis and superposition principle. The stress intensity factors of cracktips and the displacement jump across the crack surface are expressed by analytic or semi-analytic form. The effective moduli and the compliance matrix of the cracked plate are alsoformulated.The method is effective with its simple procedure and high accuracy in solvingthe problem of doubly periodic crack array.

关 键 词：双周期裂纹 弹性板 应力强度因子 间断位移 有效弹模 柔度矩阵 

分 类 号：O343.1[理学—固体力学]