A penetration correction contact model involving friction based on Peridynamics

Peridynamics employs an integral form to deal with the discontinuity within the object, showing great advantages in analyzing material failure. However, in Peridynamics, many existing contact methods have some shortcomings in accurately calculating contact forces, leading to some unreasonable results when the problem involves contact. A more accurate contact model based on particle penetration is proposed by modifying the traditional particle-to-particle contact model. The proposed contact model is verified through two typical benchmark tests, and the calculated results are compared with the traditional pin-ball contact model and short-range-force contact model. The results demonstrate the correctness and advantages of the proposed model. Bond-Based Peridynamics equipment with the proposed contact model is used to analyze the Brazilian tensile test of rocks. The elastic deformation and fracture evolution show a high agreement with the analytical solution and experimental results, demonstrating the effectiveness and robustness of the proposed contact model. Based on the Brazilian tensile test, a method to verify the correctness of contact models is proposed. The differences in numerical results obtained with the proposed contact model and the short-range force model are compared, and the mechanism underlying the differences are investigated. In addition, Graphics Processing Units (GPU) are used to implement parallel computation to improve efficiency. This research contributes to the understanding of the mechanism of Brazilian tensile test.