A new continuous-discontinuous damage model: cohesive cracks via an accurate energy-transfer process
Author (s): Tamayo-Mas, E. and Rodríguez-Ferran, A.Journal: Theoretical and Applied Fracture Mechanics
Volume: 69
Pages: 90 - 101
Date: 2014
Abstract:
A new continuous-discontinuous strategy to describe failure of quasi-brittle materials is presented. For the early stages of the failure process, a gradient-enhanced model based on smoothed displacements is employed. As soon as the damage parameter exceeds a critical value D_{crit} < 1, a cohesive crack is introduced. A new criterion to estimate the energy not yet dissipated by the bulk when switching models —from continuous to continuous-discontinuous— is proposed. Then, this energy is transferred to the cohesive crack thus ensuring that the continuous and the continuous-discontinuous strategies are energetically equivalent. Compared to other existing techniques, this new strategy accounts for the different unloading branches of damage models and thus, a more accurate estimation of the energy that has to be transferred is obtained. The performance of this technique is illustrated with one- and two-dimensional examples.
Bibtex:
@article{ETM-ARF:14,
Author = {Tamayo-Mas, E. and Rodr{{\'i}}guez-Ferran, A.},
Title = {A new continuous-discontinuous damage model: {C}ohesive cracks via an accurate energy-transfer process},
Fjournal = {Theoretical and Applied Fracture Mechanics},
Journal = {Theor Appl Fract Mech},
Volume = {69},
Number = {0},
Pages = {90--101},
Issn = {0167-8442},
Year = {2014},
Keywords = {Continuous?discontinuous strategy; Regularisation; Smoothed displacements; Cohesive cracks; Energy balance},
Doi = {http://dx.doi.org/10.1016/j.tafmec.2013.11.009},
Url = {http://www.sciencedirect.com/science/article/pii/S0167844213000785}}
