Phase‐Field Models for the Failure of Anisotropic Continua

Hüsnü Dal, Osman Gültekin, Funda Aksu Denli, Gerhard Holzapfel

Publikation: Beitrag in Buch/Bericht/KonferenzbandBeitrag in einem Konferenzband


This study presents a phase‐field approach for an anisotropic continuum to model fracture of biological tissues and fiber‐reinforced composites. We start with the continuous formulation of the variational principle for the multi‐field problem manifested through the deformation map and the crack phase‐field at finite strains which leads to the Euler–Lagrange equations of the coupled problem. In particular, the coupled balance equations derived render the evolution of the anisotropic crack phase‐field and the balance of linear momentum. In addition, we propose a novel energy‐based anisotropic failure criterion which regulates the evolution of the crack phase‐field. The coupled problem is solved using a one‐pass operator‐splitting algorithm composed of a mechanical predictor step and a crack evolution step. Representative numerical examples are devised for crack initiation and propagation in carbon‐fiber‐reinforced polymerg composites. Model parameters are obtained by fitting the set of novel experimental data to the predicted model response; the finite element results qualitatively capture the effect of anisotropy in stiffness and strength.
TitelProceedings in Applied Mathematics & Mechanics
Herausgeber (Verlag)GAMM
PublikationsstatusVeröffentlicht - Dez 2017
Veranstaltung88th Annual Meeting of the International Association of Applied Mathematics and Mechanics - Weimar & Ilmenau, Deutschland
Dauer: 6 Mär 201710 Mär 2017


Konferenz88th Annual Meeting of the International Association of Applied Mathematics and Mechanics
OrtWeimar & Ilmenau


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