Phase-field modeling of fracture in linear thin shells

Author (s): Amiri, F.; Millán, D.; Shen, Y.; Rabczuk, T.; and Arroyo, M.
Journal: Theoretical and Applied Fracture Mechanics
Volume: 69
Pages: 102 - 109
Date: 2014

We present a phase-field model for fracture in Kirchoff-Love thin shells using the local maximumentropy (LME) meshfree method. Since the crack is a natural outcome of the analysis it does not require an explicit representation and tracking, which is advantage over techniques as the extended finite element method that requires tracking of the crack paths. The geometric description of the shell is based on statistical learning techniques that allow dealing with general point set surfaces avoiding a global parametrization, which can be applied to tackle surfaces of complex geometry and topology. We show the flexibility and robustness of the present methodology for two examples: plate in tension and a set of open connected pipes.


author = {Amiri, F.; Millán, D.; Shen, Y.; Rabczuk, T. and Arroyo, M.},
title = {Phase-field modeling of fracture in linear thin shells},
journal = {Theoretical and Applied Fracture Mechanics},
volume = {69},
pages = {102 - 109},
year = {2014},
issn = {0167-8442},
doi = {http://dx.doi.org/10.1016/j.tafmec.2013.12.002},
url = {http://www.sciencedirect.com/science/article/pii/S0167844213000815},