摘要

A novel 3-node triangular finite element partition method is proposed for fracture simulation. By this method, the crack is directly embedded into the element without any enrichment of interpolation, avoiding the treatment of displacement discontinuity and remeshing. Thus, no extra degrees of freedom are introduced into the equation system. It is done by subdividing the cracked element into a sub-triangular and a sub-quadrilateral element. The deformation field of each sub-element is associated with its adjacent nodes at the same side of crack via least square interpolation method. To represent the contact behaviors of crack faces, a sub-joint element is used to join the sub-triangular and sub-quadrilateral element. The final stiffness matrix of the cracked element is obtained by composing the three sub-element stiffness matrixes together. The simulation results suggest that the present method is validated, simple and efficient.