用有限元结合动态光弹性分析确定动态应力强度因子
Finite Element Method Combined with Dynamic Photoelastic Analysis to Determine Dynamic Stress-Intensity Factors
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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.Abstract: 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-dimensional elasticity are employed.The relation between crack opening length and time step obtained from dynamic photoelaslie 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 dynamie-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.
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[1] 钱伟长,在奇异项上盈加有限元法计算应力强度因子,《应用数学与力学论文集》,钱伟长著,江苏科学技术出版社(1980). [2] Rice,J.R.,Mathematical analysis in mechanics of fracture,Fracture,2,(1968),191-311. [3] Desai,C.S.and J.F.Abel,Introduction to the Finite Element Method,Ch.4,Van Nostrand Reinhold Co.,New York(1972).
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