Accuracy and efficiency of three stress integration schemes for the SANISAND-04 model

抄録

In this paper, three types of stress integration algorithms are evaluated for the SANISAND-04 model based on Runge-Kutta method (RK4), cutting plane method (CPM) and closest point projection method (CPPM). Performance of the three integration schemes is first assessed in monotonic drained and undrained triaxial compression test simulations, and then in cyclic undrained triaxial test simulations. These simulations show that the errors of CPPM and CPM are similar and predictable, generally increasing with increasing strain step size. The error of the RK4 is highly dependent on the loading conditions and material parameters. Under undrained cyclic loading, the overall performance of CPM is the best in terms of both accuracy and convergence. As for the computational cost, CPM is the most efficient integration scheme, especially for small strain increments.