Lü Nian-chun, CHENG Yun-hong, XU Hong-min, CHENG Jin, TANG Li-qiang. Dynamic Crack Models on Problem of Bridging Fiber Pull-Out of Composite Materials[J]. Applied Mathematics and Mechanics, 2004, 25(10): 1093-1100.
 Citation: Lü Nian-chun, CHENG Yun-hong, XU Hong-min, CHENG Jin, TANG Li-qiang. Dynamic Crack Models on Problem of Bridging Fiber Pull-Out of Composite Materials[J]. Applied Mathematics and Mechanics, 2004, 25(10): 1093-1100.

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

• Received Date: 2002-08-13
• Rev Recd Date: 2004-03-30
• Publish Date: 2004-10-15
• 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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