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A new continuous-discontinuous damage model: cohesive cracks via an accurate energy-transfer process
Tamayo Mas, Elena; Rodríguez Ferran, Antonio
Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada III; Universitat Politècnica de Catalunya. LACÀN - Mètodes Numèrics en Ciències Aplicades i Enginyeria
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 Dcrit<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.
Peer Reviewed
Àrees temàtiques de la UPC::Física
Àrees temàtiques de la UPC::Matemàtiques i estadística
Fracture mechanics
Cohesive cracks
Continuous-discontinuous strategy
Energy balance
Smoothed displacements
Mecànica de fractura
Classificació AMS::74 Mechanics of deformable solids::74R Fracture and damage
Attribution-NonCommercial-NoDerivs 3.0 Spain

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