复合材料平面断裂中的J积分

On J-lntegrals in the Plane Fracture of Composite Materials

本文采用复变函数方法,首先将裂纹尖端应力和位移代入J积分的一般公式得到了线弹性正交异性复合材料单向板复合型裂纹尖端的J积分的复形式,其次证明了该J积分的路径无关性,最后推出了该J积分的计算公式.作为特例,给出了线弹性正交异性复合材料单向板Ⅰ,Ⅱ型裂纹尖端的J积分的复形式,路径无关性和计算公式.

By using a complex variable method in this paper, the complex form of J-in-tegral of mixed mode cracktip for unidirectional plate of linear-elastic orthotro-pic composites is obtained first by substituting crack-tip stresses and displacements into the general formula of J-integral. Then the path-independence of this J-integral is proved. Finally the computing formula of this J-integial is derived. As special examples, the complex forms, path-independence and computing formulae of J-integrals of mode I and mode II crack tips for unidirectional plate of linear-elastic orthotropic composites are given.