多层材料结构的界面裂纹尖端复应力强度因子

本文建立了一种多层材料复合结构的界面裂纹问题分析模型。当两种材料之间插入第三种薄层弹性材料,裂纹位于第三种材料与第一或第二种弹性材料的界面上,且插页材料3~#的厚度相对于裂纹尺寸或平面内其他尺寸很小时,可以得到该问题裂纹尖端的复应力强度因子通式。本文用有限元法对结果进行了数值验证,并进行了有关问题的讨论。

Complex stress intensity factor of multi-material structure with a interface crack

In this paper, a analytical model of the multi-material structure with a inteface crack is developed, which can be used to analyze fracture problems of a thin plate of the third material inserted into two dissimilar isotropic elastic solids, and a crack located on interface either between the first material and the third material or between the third material and the second material. If the thickness of the third material is much smaller than other dimensional scales of the structure, a simple universal relation between the complex stress intensity foctor of crack tip on the three-material sturcture and that of associated without third material is given. Some numerical results and discussions for the problem are presented.