A medial-axis-based model for propagating cracks in a regularised bulk
Author (s): Tamayo-Mas, E.; Rodríguez-Ferran, A.
Journal: International Journal for Numerical Methods in Engineering
Volume: 101, Issue 7
Pages: 489 – 520
Date: 2015
Abstract:
A new continuous-discontinuous strategy for the simulation of failure is presented. The continuous bulk is regularised by means of a gradient-enhanced damage model, where non-locality is introduced at the level of displacements. As soon as the damage parameter is close or equal to 1, a traction-free crack is introduced. To determine the direction of crack growth, a new criterion is proposed. In contrast to traditional techniques, where mechanical criteria are used to define the crack path, here, a geometrical approach is used. More specifically, given a regularised damage field D(x), we propose to propagate the discontinuity following the direction dictated by the medial axis of the isoline (or isosurface in 3D) D(x) = D*. The proposed approach is tested on different two-dimensional and three-dimensional examples that illustrate that this combined methodology is able to deal with damage growth and material separation.
Bibtex:
@article {2015-IJNME-TR,
author = {Tamayo-Mas, E. and Rodr\'iguez-Ferran, A.},
title = {A medial-axis-based model for propagating cracks in a regularised bulk},
journal = {International Journal for Numerical Methods in Engineering},
volume = {101},
number = {7},
pages = {489--520},
url = {http://dx.doi.org/10.1002/nme.4757},
doi = {10.1002/nme.4757},
issn = {1097-0207},
year = {2015},
}