A constitutive model for porous solids taking into account microscale inertia and progressive void nucleation |
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| Affiliation: | 1. ENSTA Bretagne, Laboratoire Brestois de Mécanique et des Systèmes (LBMS) – EA 4325, 2 rue François Verny, 29806 Brest cedex 9, France;2. Université de Lorraine, Laboratoire d’Etude des Microstructures et de Mécanique des Matériaux (LEM3) – UMR CNRS 7239, Ile du Saulcy, 57045 Metz cedex 01, France;1. Department of Mechanical Engineering, University of Akron, Akron, OH, USA;2. Bechtel Marine Propulsion Corporation, West Mifflin, PA, USA |
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| Abstract: | In the present paper, a micromechanical constitutive framework for ductile voided solids sustaining dynamic loading is proposed. The micro-inertia based model proposed by Jacques et al. (2012a) has been extended by taking void nucleation into account. To capture the combined effects of microscale inertia and void nucleation, a micro-mechanical model of damage is proposed. This model is based on three physical parameters: the porosity, the number of voids per unit volume and an internal variable aiming to represent the effect of void size heterogeneity. The evolution equations for these internal variables are derived and an application to the failure of an axisymmetric notched bar is presented. |
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| Keywords: | Porous ductile solids Void nucleation Dynamic fracture Microscale inertia Multiscale modelling |
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