Numerical Simulation of 3D Crack Propagation in Rock by Peridynamics Approach

Abstract:

The peridynamics method has great advantages in solving crack propagation problems due to its automatic tracking of crack tips by breaking bonds， but it also faces the problems such as numerical oscillations and boundary errors. In order to solve the above defects， this paper first discussed the NOSB-PD method with the meshless Galerkin weak-form framework. Next， it introduced the peridynamics differential operator approximation and fully compared and analyzed the difference between the PDDO approximation and the reproducing kernel particle method （RKPM） approximation. Then， it proposed the RKPM-PD coupling algorithm with a higher numerical accuracy and gave the implicit iterative process of the RKPM-PD method. Finally， it verified the effectiveness of the algorithm in solving three-dimensional crack propagation problems by using several numerical examples.

Key words:peridynamics;meshless method;Galerkin method;3D crack propagation