Speaker: Xiaodong Zhang

Date: Thursday 21st of April 2022, 1:15 pm.

Abstract:

The prediction of fracture mechanisms in engineering materials and structure components is of great interest. The regularized damage modeling named as phase field approach has shown great efficiencies by approximating sharp crack surface with a diffusive variable to automatically study crack initiation and propagation without additional considerations of sharp crack discontinuities. This presentation proposes a phase field model for fracture in poroelastic media based on total energy minimization. We model the fluid flow by modifying Darcy's law considerig an additive part because of the crack and the fluid flow is controlled by the elastic energy and dissipation energy not the mass conservation balance as most papers. We use a staggered scheme and implement our approach in FEniCS.  Several benchmark examples are first realized for the assessment and validation of the proposed phase field model.