TY - JOUR A2 - Hu, Zhiqiang AU - Xiaozhou, Xia AU - Qing, Zhang AU - Hong, Wang AU - Qun, Jiang PY - 2013 DA - 2013/12/07 TI - The Numerical Simulation of the Crack Elastoplastic Extension Based on the Extended Finite Element Method SP - 157130 VL - 2013 AB - In the frame of the extended finite element method, the exponent disconnected function is introduced to reflect the discontinuous characteristic of crack and the crack tip enrichment function which is made of triangular basis function, and the linear polar radius function is adopted to describe the displacement field distribution of elastoplastic crack tip. Where, the linear polar radius function form is chosen to decrease the singularity characteristic induced by the plastic yield zone of crack tip, and the triangle basis function form is adopted to describe the displacement distribution character with the polar angle of crack tip. Based on the displacement model containing the above enrichment displacement function, the increment iterative form of elastoplastic extended finite element method is deduced by virtual work principle. For nonuniform hardening material such as concrete, in order to avoid the nonsymmetry characteristic of stiffness matrix induced by the non-associate flowing of plastic strain, the plastic flowing rule containing cross item based on the least energy dissipation principle is adopted. Finally, some numerical examples show that the elastoplastic X-FEM constructed in this paper is of validity. SN - 1024-123X UR - https://doi.org/10.1155/2013/157130 DO - 10.1155/2013/157130 JF - Mathematical Problems in Engineering PB - Hindawi Publishing Corporation KW - ER -