应用数学和力学2013，Vol.34Issue(6)：586-597,12.DOI:10.3879/j.issn.1000-0887.2013.06.005
动载下缝端应力强度因子计算的扩展有限元法
Evaluation on Stress Intensity Factors at the Crack Tip Under Dynamic Loads Using Extended Finite Element Methods
摘要
Abstract
In the framework of the extended finite element methods (XFEM),the extraction of dynamic stress intensity factors (DSIFs) for stationary cracks being subjected to dynamic loads was detaily studied.Having constructed the approximation of dynamic XFEM,the derivation of governing equation for dynamic XFEM was presented.The Newmark implicit algorithm was used for time integration.Meanwhile,a mass lumping strategy for XFEM implicit dynamics was proposed.In addition,the interaction integral method was given for evaluating DSIFs.Compared with the interaction integral method for evaluating stress intensity factors (SIFs) of cracks under static conditions,the contribution of inertial effects was added to the interaction integral method for evaluating DSIFs.The numerical illustrations show that the XFEM can evaluate accurately DSIFs and the proposed mass lumping strategy is also quite effective.To obtain DSIFs correctly,the inertial effects on interaction integral cannot be ignored.关键词
扩展有限元法/动载/裂纹/动应力强度因子/相互作用积分Key words
extended finite element methods/ dynamic loads/ cracks/ dynamic stress intensity factors/ interaction integral分类
通用工业技术引用本文复制引用
江守燕,杜成斌..动载下缝端应力强度因子计算的扩展有限元法[J].应用数学和力学,2013,34(6):586-597,12.基金项目
国家自然科学基金资助项目(11132003) （11132003）
中国博士后科学基金资助项目(2013M530233) （2013M530233）
