Optimization algorithm of crack initiation angle using the XFEM technique
The extended finite element method (XFEM) allows the entire crack to be represented independently of the mesh,and so re-mesh is not necessary to model crack growth.thus reducing the computational time drastically.However,fatigue crack growth simulation has been computationally challenging due to lots of simulations needed to model growth.Therefore,a new reanalysis algorithm based on an incremental Cholesky factorization is derived.In this paper,firstly we consider a variant of XFEM in which a exponent discontinuous function is used to simulate the crack through unit.Then the corresponding formula of XFEM with inclusion and crack problem and a new reanalysis algorithm are derived.Secondly the whole Matlab program is completed which aims to calculate the crack tip stress intensity factor.For a typical plate with crack,the appropriate crack tip enhancement and J integration radius was chosen.Finally,we use the new reanalysis algorithm and an optimization algorithm to predict the angle of crack initiation from a hole in a plate with inclusion.It is shown that the algorithm is effective.
Y.Su S.N.Wang
School of Aeronautics,Northwestern Polytechnical University,Xian 710072,China
国际会议
International Conference on Airworthiness & Fatigue -7th ICSAELS Series Conference(大飞机安全性能与疲劳国际会议)
北京
英文
173-173
2013-03-24（万方平台首次上网日期，不代表论文的发表时间）