A constitutive model for porous solids taking into account microscale inertia and progressive void nucleation. (January 2015)

• Record Type: Journal Article
• Authors: Jacques, N.; Mercier, S.; Molinari, A.
• Is Part Of: Mechanics of materials. Volume 80:Part B(2015:Jan.)
• Page Start: 311
• Page End: 323
• Publication Date: 2015-01
• Subjects: Porous ductile solids -- Void nucleation -- Dynamic fracture -- Microscale inertia -- Multiscale modelling; Strength of materials -- Periodicals; Mechanics, Applied -- Periodicals; Résistance des matériaux -- Périodiques; Mécanique appliquée -- Périodiques; Mechanics, Applied; Strength of materials; Periodicals; Electronic journals; 620.11
• DOI: 10.1016/j.mechmat.2014.01.008
• Languages: English
• ISSNs: 0167-6636

Abstract

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.