复合材料桥纤维拔出问题的动态裂纹模型

Dynamic Crack Models on Problem of Bridging Fiber Pull-Out of Composite Materials

在一无限的正交各向异性体的弹性平面上,对具有桥纤维平行自由表面的一个内部中央裂纹,进行了弹性分析· 提出了复合材料桥纤维拔出的一个动态模型· 由于纤维破坏是由最大拉应力支配,纤维断裂并且裂纹扩展将以自相似的方式出现· 通过复变函数的方法将所讨论的问题转化为Reimann＿Hilbert混合边界值问题的动态模型,呈现一简单的和容易的解· 求得了正交异性体中扩展裂纹受运动的阶梯载荷、瞬时脉冲载荷作用下问题的解析解,并利用这一解。

An elastic analysis of an internal central crack with bridging fibers parallel to the free surface in an infinite orthotropic anisotropic elastic plane was performed. A dynamic model of bridging fiber pull-out of composite materials was presented. Resultingly the fiber failure is governed by maximum tensile stress, the fiber breaks and hence the crack extension should occur in self-similar fashion. By the methods of complex functions, the problem studied can be transformed into the dynamic model to the Reimann-Hilbert mixed boundary value problem, and a straightforward and easy analytical solution is presented. Analytical study on the crack propagation subjected to a ladder load and an instantaneous pulse loading is obtained respectively for orthotropic anisotropic body.By utilizing the solution, the concrete solutions of this model are attained by ways of superposition.