The extended finite element method for large deformation ductile fracture problems with a non-local damage-plasticity model

• An enriched-FEM technique for crack growth simulation of ductile fracture problems.
• A non-local gradient damage-plasticity model in the framework of X-FEM method.
• The Lemaitre damage-plasticity model in capturing the material degradation effect.
• The solution of a Helmholtz equation combined with the governing equation of system.
• The crack initiation and growth criteria for the X-FEM damage-plasticity model.

An enriched-FEM technique is presented for the crack growth simulation in large deformation ductile fracture problems using a non-local damage-plasticity model in the framework of eXtended Finite Element Method (X-FEM). The Lemaitre damage-plasticity model is used to capture the material degradation effect, in which the non-locality is enforced by solving a Helmholtz type equation in combination with the governing equation of the system based on an operator-split technique. A convergence study is performed to investigate the performance of X-FEM technique in plasticity problems. The accuracy and effectiveness of proposed X-FEM damage-plasticity model are verified through several numerical examples.