Modeling and simulation of kinked cracks by virtual node XFEM
A new virtual node extended finite element method (VNXFEM) has been proposed for modeling and simulation of kinked cracks in a single element. The kinked crack growth in the element is performed using the concept of virtual nodes to model and improve the accuracy of the solution. Special five-node transition elements are used to ensure the continuity in the displacement fields. A polygon law is proposed to determine the positions of the evaluation points with respect to a crack face in the virtual split elements. The VNXFEM models the crack growth accurately with coarse mesh and small crack growth increments.
virtual node xfem transition elements virtual split element (vse) virtual tip element (vte) discontinuities stress intensity factors