P43 - Multilevel and Domain-Decomposition Solution Strategies for Solving Large-Scale Phase-Field Fracture Problems
DescriptionThe phase-field approach for fracture propagation is a state-of-the-art technique for simulating crack initiation, propagation, and coalescence. In this approach, a damage field, called the phase field, is introduced that characterizes the material state from intact to fully broken. Even though the phase field is a robust tool for modeling crack propagation, it gives rise to a strongly nonlinear system of equations. Due to this reason, it becomes essential to develop efficient and robust solution methods for solving the phase-field problem. To this aim, we propose to solve the nonlinear problems arising from the discretization of the phase-field fracture formulation using domain decomposition and multilevel methods. We employ the Recursive Multilevel Trust Region Method (RMTR) method in the context of the multilevel method, while we employ the Schwarz preconditioned inexact Newton method (SPIN) in the context of the domain decomposition method. In this work, we will present the required modifications in both solution strategies for solving the fracture problems. We will show the convergence properties and the performance of the RMTR and SPIN methods using several benchmark problems from the field of fracture mechanics where we will show that our methods outperforms widely used alternate minimization method.
TimeTuesday, June 2710:14 - 10:15 CEST