Dynamic Crack Models on Problem of Bridging Fiber Pull-Out of Composite Materials
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摘要: 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,通过迭加最终求得该模型的解.Abstract: 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.
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Key words:
- bridging fiber pull-out /
- crack /
- dynamic model /
- analytical solution
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