Calculation of Stress Intensity Factors Under Mode-I Using Total Lagrangian Smoothed Particle Hydrodynamics

This paper presents a study on calculating Stress Intensity Factors (SIFs) under mixed mode using a simulation method based on Smoothed Particle Hydrodynamics (SPH). By modeling crack behaviors using the total Lagrangian SPH (TLSPH) method, we can obtain displacement and stress fields at the crack tip and further calculate the SIFs. This study used the TLSPH method to simulate cracks with mode-I loading to obtain displacement and stress field data. Using these data, we calculated SIFs under mode-I using different methods. Better results can be achieved using the extrapolation method with a relatively short calculation time. This study obtained displacement and stress field data for calculating SIFs under mode-I through SPH simulation. The simulation results show that the extrapolation stress method delivers better accuracy and time-efficiency with errors of 0.20%, 1.97%, and 4.39% for particle diameters of 0.125 mm, 0.25 mm, and 0.5 mm, respectively. These findings are essential for the study and practical engineering applications of SIFs under mixed mode.