A variational approach to the fracture of brittle thin films subject to out-of-plane loading
We address the problem of fracture in homogenous linear elastic thin films using a variational model. We restrict our attention to quasi-static problems assuming that kinetic effects are minimal. We focus on out-of-plane displacement of the film and investigate the effect of bending on fracture. Our analysis is based on a two-dimensional model where the thickness of the film does not need to be resolved. We derive this model through a formal asymptotic analysis. We present numerical simulations in a highly idealized setting for the purpose of verification, as well as more realistic micro-indentation experiments. © 2013 Elsevier Ltd.
Publication Source (Journal or Book title)
Journal of the Mechanics and Physics of Solids
Mesgarnejad, A., Bourdin, B., & Khonsari, M. (2013). A variational approach to the fracture of brittle thin films subject to out-of-plane loading. Journal of the Mechanics and Physics of Solids, 61 (11), 2360-2379. https://doi.org/10.1016/j.jmps.2013.05.001