In this work, we consider pressurized phase-field fracture problems in nearly and fully incompressible materials. To this end, a mixed form for the solid equations is proposed. To enhance the accuracy of the spatial discretization, a residual-type error estimator is developed. Our algorithmic advancements are substantiated with several numerical tests that are inspired from benchmark configurations. Therein, a primal-based formulation is compared to our newly developed mixed phase-field fracture method for Poisson ratios approaching ν→0.5. Finally, for ν=0.5, we compare the numerical results of the mixed formulation with a pressure robust modification.
@article{arxiv.2006.16566,
title = {Adaptive and Pressure-Robust Discretization of Incompressible Pressure-Driven Phase-Field Fracture},
author = {Seshadri Basava and Katrin Mang and Mirjam Walloth and Thomas Wick and Winnifried Wollner},
journal= {arXiv preprint arXiv:2006.16566},
year = {2022}
}