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

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.   


  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}}