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在考虑与裂纹面位移成正比的桥联力影响下,对无限大纤维增强复合材料中半无限长反平面裂纹的动态传播进行了讨论.利用Fourier变换,问题简化成一个方程,利用Wiener-Hopf技术进行了求解.得到的应力强度因子可以表达成一个速度修正因子与静态应力强度因子乘积的形式.结论有:(1)由材料性能决定的音速是裂纹传播速度的上限;(2)桥联纤维在增韧复合材料和组织裂纹扩展中起了关键作用;(3)受桥联纤维力作用的半无限长裂纹在无限域中扩展等效于半无限长裂纹在带域中扩展.
The dynamic propagation of semi-infinite anti-plane crack in infinite fiber-reinforced composites is discussed under the influence of the bridge force proportional to the displacement of crack surface. Using Fourier transform, the problem is simplified into an equation, and the Wiener-Hopf Technique is solved.The stress intensity factor obtained can be expressed as a product of the velocity correction factor and the static stress intensity factor.The conclusions are: (1) the sonic velocity determined by the material properties is the upper limit of the crack propagation velocity; (2) the bridge Fibers play a key role in the toughening of composites and tissue crack propagation. (3) The semi-infinitesimal cracks propagated in the infinite domain by the bridging fibers are equivalent to the semi-infinitesimal crack propagating in the domain.