Gradient Damage Models Coupled with Plasticity and Nucleation of Cohesive Cracks |
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Authors: | Roberto Alessi Jean-Jacques Marigo Stefano Vidoli |
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Affiliation: | 1. Dipartimento di Ingegneria Strutturale e Geotecnica, Sapienza Università di Roma, Via Eudossiana 18, 00184, Rome, Italy 2. Laboratoire de Mécanique des Solides, Ecole Polytechnique, 91128, Palaiseau Cedex, France
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Abstract: | In the framework of rate-independent systems, a family of elastic-plastic-damage models is proposed through a variational formulation. Since the goal is to account for softening behaviors until the total failure, the dissipated energy contains a gradient damage term in order to limit localization effects. The resulting model owns a great flexibility in the possible coupled responses, depending on the constitutive parameters. Moreover, considering the one-dimensional quasi-static problem of a bar under simple traction and constructing solutions with localization of damage, it turns out that in general a cohesive crack appears at the center of the damage zone before the rupture. The associated cohesive law is obtained in a closed form in terms of the parameters of the model. |
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