摘要
本文运用有限元方法结合动态光弹性分析,对动态应力强度因子的计算进行了分析研究.作者在钱伟长教授[1]的基础上,将动态裂尖的奇异性分析解引入有限元计算;并以动态光弹性分析所得的裂纹扩展长度与时间的关系曲线作为定解补充条件,据此建立了有效模拟裂纹扩展的数值模型.通过具体算例证明,本文的方法取得了与实验结果相吻合的效果.
The present paper is addressed to the finite element method combined with dynamic photoelastic analysis of propagating cracks; that is, on the basis of [1] by Chien Wei-zang, finite elements which incorporate the propagating crack-tip singularity intrinsic to two-dimentional elasticity are employed. The relation between crack opening length and time step obtained from dynamic photoelastic analysis is used as a definite condition for solving the dynamic equations and simulating the crack propagations as well. As an example, the impact response of dynamic-bending-test specimen is investigated and the dynamic stress-intensity factor obtained from the mentioned finite element analysis and dynamic photoelasticity is in reasonable agreement with each other.
出处
《应用数学和力学》
EI
CSCD
北大核心
1989年第10期865-870,共6页
Applied Mathematics and Mechanics