Local second gradient models and damage mechanics: Application to concrete

Abstract : The non linear behaviour of concrete is often simulated using local constitutive models based on the continuous damage mechanics theory. This approach however is not adequate for post-localisation studies with strain softening. It is well known that spurious mesh dependence appears in computations and cases of failure without energy dissipation. In order to improve computational performance second grade local models are chosen to include a meso scale in the continuous damage model. This approach differs from the nonlocal one in the sense that it is a local theory with higher order stresses depending only on the local cinematic history. 1D numerical computations with concrete specimens are presented. Using a random initialisation of the iterative solver of the equilibrium equation we search the existence of various solutions for the boundary value study and also to see if the second grade term regularise the problem giving results that are mesh insensitive and objective.
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Panagiotis Kotronis, René Chambon, Jacky Mazars, Frédéric Collin. Local second gradient models and damage mechanics: Application to concrete. 11th International Conference on Fracture, ICF, Mar 2005, Turin, Italy. ⟨hal-01008385⟩

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