An adaptive global–local approach for phase-field modeling of anisotropic brittle fracture

verfasst von

Nima Noii, Fadi Aldakheel, Thomas Wick, Peter Wriggers

Abstract

This work addresses an efficient Global–Local approach supplemented with predictor–corrector adaptivity applied to anisotropic phase-field brittle fracture. The phase-field formulation is used to resolve the sharp crack surface topology on the anisotropic/non-uniform local state in the regularized concept. To resolve the crack phase-field by a given single preferred direction, second-order structural tensors are imposed to both the bulk and crack surface density functions Accordingly, a split in tension and compression modes in anisotropic materials is considered. A Global–Local formulation is proposed, in which the full displacement/phase-field problem is solved on a lower (local) scale, while dealing with a purely linear elastic problem on an upper (global) scale. Robin-type boundary conditions are introduced to relax the stiff local response at the global scale and enhancing its stabilization. Another important aspect of this contribution is the development of an adaptive Global–Local approach, where a predictor–corrector scheme is designed in which the local domains are dynamically updated during the computation. To cope with different finite element discretizations at the interface between the two nested scales, a non-matching dual mortar method is formulated. Hence, more regularity is achieved on the interface. Several numerical results substantiate our developments.

Organisationseinheit(en)

Institut für Angewandte Mathematik
Institut für Kontinuumsmechanik
PhoenixD: Simulation, Fabrikation und Anwendung optischer Systeme

Typ

Artikel

Journal

Computer Methods in Applied Mechanics and Engineering

Band

361

ISSN

0045-7825

Publikationsdatum

01.04.2020

Publikationsstatus

Veröffentlicht

Peer-reviewed

Ja

ASJC Scopus Sachgebiete

Numerische Mechanik, Werkstoffmechanik, Maschinenbau, Physik und Astronomie (insg.), Angewandte Informatik

Elektronische Version(en)

https://doi.org/10.48550/arXiv.1905.07519 (Zugang: Offen)
https://doi.org/10.1016/j.cma.2019.112744 (Zugang: Geschlossen)