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基于流形方法的动态应力强度因子数值算法
引用本文:张大林,栾茂田,杨庆,田荣.基于流形方法的动态应力强度因子数值算法[J].大连理工大学学报,2002,42(5):590-593.
作者姓名:张大林  栾茂田  杨庆  田荣
作者单位:大连理工大学,土木水利学院,辽宁,大连,116024;大连理工大学,海岸和近海工程国家重点实验室,辽宁,大连,116024
基金项目:国家自然科学基金资助项目 (A 0 2 0 2 0 9),国家教育部跨世纪优秀人才培养计划研究基金资助项目 (1999)
摘    要:简要介绍了流形方法基本原理和位移函数的构造方法及数值分析列式,并以此方法为基础发展了裂纹动态应力强度因子的数值计算方法。通过数值计算对动态应力强度因子与静态应力强度因子进行了比较,发现二者在数值上存在较大差别的原因是,其计算过程不同,计算动态应力强度因子时考虑了扩展速度的影响,因此在裂纹扩展分析中建议采用动态应力强度因子。

关 键 词:动态应力强度因子  数值算法  断裂力学  裂纹扩展  流形方法  位移函数  扩展速度
文章编号:1000-8608(2002)05-0590-04

Numerical computational procedure of dynamic stress intensity factors based on manifold method
ZHANG Da lin ,LUAN Mao tian ,YANG Qing ,TIAN Rong.Numerical computational procedure of dynamic stress intensity factors based on manifold method[J].Journal of Dalian University of Technology,2002,42(5):590-593.
Authors:ZHANG Da lin    LUAN Mao tian    YANG Qing    TIAN Rong
Institution:ZHANG Da lin 1,2,LUAN Mao tian 1,2,YANG Qing 1,2,TIAN Rong 1,2
Abstract:The fundamental theory and mathematical formulations as well as interpolation functions of the numerical manifold method are presented. A computational procedure based on the manifold method for estimating the dynamic stress intensity factors (SIFs) is proposed. A comparison between the dynamic SIFs and static SIFs is made through numerical computations. It is found that the dynamic stress intensity factors are much different from static stress intensity factors since the propagation rate of crack is taken into account in the analyses of dynamic SIFs while it is overlooked in static SIF computations. It is indicated that the dynamic stress intensity factors should be employed in the simulation of crack propagation.
Keywords:fracture mechanics  stress intensity factor  crack propagation/ manifold method  dynamic stress intensity factor
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