【摘要】 在动态光弹断裂问题的研究中,实验与数值计算相结合的混合法(Hybrid Method)曾被多次用于求解动态应力强度因子。这是近几年来由于实验技术及计算机应用高度发展而产生的一种解决问题的新方法。本文就动态断裂中一个关键性问题——高速扩展中裂纹顶端应力场的渐近解,进行了介绍及分析,有些地方进行了推导。并证明了所采用的高斯—牛顿方法中的方程组有唯一解。从而展示了动光弹断裂中求解应力强度因子的理论基础。更多还原

【Abstract】 In the investigation of dynamic photoelastic fracture, the hybrid experimental-numerical method is now widely applied to determining dynamic stress intensity factors. This is a new method highly developed in recent years, as a result of the development of experimental technique and eletronic computer. This method is not only used in fracture mechanics but in many disciplines as well. The asymptotic solution to the stress field of the tip of rapid propagating crack is first introduced, and in the meantime, a complete asymptotic solution without neglecting the right hand term of the wave equation is deduced. And, the proof of the unique solution of the set of equations derived by Gauss—Newton method is given. The theoretical foundation of determining stress intensity factors in dynamic photoelastic fracture is clearly demonstrated.更多还原