S. Kollmannsberger, L. Hug, L. Herrmann, A. Daneshyar, P. Kopp, O. Oztoprak, K. Thuro, Y. Schapira, L. Radke, A. Düster, E. Rank
This presentation will provide an overview and an evaluation of modern discretizational techniques of phase-field methods for fracture. To this end, this talk will open with a motivating example of a geometrically very complex 3D fracture of a core rock sample (see Figure 1). It is well known that such computations are challenging. This is mainly because: • the phase-field regularization of the sharp crack is based on a length-scale parameter that requires very fine computational meshes, • domains of interest may possess very complex topologies described e.g. by CTscans, which in turn leads to very large systems of equations. • phase-field models for fracture result in an unsymmetric coupled problem of at least two fields whose staggered solution typically suffers from slow convergence. This talk will present a set of recently developed numerical tools to address these challenges. First, a type of local refinement is introduced, which is particularly well suited for transient situations and for which very efficient open-source implementations now exist. This discretization is then combined with the Finite Cell Method, which delivers the possibility to compute phase-field fracture models on complex domains in a straightforward manner. At this point, an extension of the phase-field method for the modelling of rock will be introduced
Published on 18/01/24Submitted on 18/01/24
Licence: CC BY-NC-SA license
Views 0Recommendations 0
Are you one of the authors of this document?