基于扩展有限元法的裂纹扩展数值模拟及程序实现  

Crack Propagation Numerical Simulation and Implementation by eXtended Finite Element Method

作　　者：崔韦[1] 熊欣[1] 喻溅鉴[1] 王建军[2] 

机构地区：[1]中国直升机设计研究所,江西景德镇333001 [2]北京航空航天大学能源与动力工程学院,北京100191

出　　处：《直升机技术》2016年第3期13-17,共5页Helicopter Technique

摘　　要：常规有限元法在解决裂纹扩展问题时需要重构网格而使其应用受到局限。扩展有限元法(XFEM)使用扩充形函数描述不连续的位移场,具有在模拟裂纹扩展时无需更新网格模型的显著优点。基于Matlab语言实现了平面问题裂纹扩展模拟程序的开发,通过解析解算例和对某钛合金裂纹扩展试验的模拟验证了程序的精度。Due to the demands of remeshing tasks, standard Finite element method is confined in crack growth simulations. Based upon research on enriched shape function of discontinues descri- bing, a framework of crack propagation simulation was proposed based upon extended finite element method （XFEM）. The theories of crack propagation simulation in XFEM were explained. Then a two- dimensional XFEM implementation within Matlab was presented. The accuracy of XFEM im- plementation was verified by static fracture mechanics examples and experiment of titanium alloy crack growth test.

关 键 词：扩展有限元法 裂纹扩展 数值模拟 MATLAB 

分 类 号：V215.52[航空宇航科学与技术—航空宇航推进理论与工程] TB115.1[理学—数学]