Akademik Veri Yönetim Sistemi
88th Annual Meeting of the International Association of Applied Mathematics and Mechanics, Weimar, Almanya, 6 - 10 Mart 2017, cilt.17, ss.91-94, (Tam Metin Bildiri)
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 equa-
tions 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 al-
gorithm 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.