A numerical analysis of relationship between ductility and nucleation and critical void volume fraction parameters of Gurson–Tvergaard–Needleman model

Miloud, M. Hadj; Imad, A.; Benseddiq, N.; Bouiadjra, B. Bachir; Bounif, A.; Serier, B.

Affiliations

¹Département de Mécanique, Université Hassiba Benbouali de Chlef, Chlef, Algérie

²Département de Mécanique, Université des Sciences et de la Technologie ‘Mohamed Boudiaf’ Oran, Algérie

³Laboratoire de Mécanique de Lille, UMR CNRS 8107, Cité Scientifique, France

⁴LMPM, Department of Mechanical Engineering, University of de Sidi Belabes, Sidi Belabès, Algéria

Abstract and keywords

Gurson–Tvergaard–Needleman model is widely used to describe the three stages of ductile tearing: nucleation, growth and the coalescence of micro-voids. The aim of this article is to study the relationship between volume fraction of voids and the fracture strain ef. The effects of the volume fraction of nucleation, f_N, and the critical volume fraction, f_c, were analysed. These parameters play crucial roles in the process of ductile damage. A phenomenological analysis is carried out to study the relationship between the different void volume parameters and the fracture strain ε_f. A method is proposed for the determination of f_N and f_c, knowing the experimental fracture strain ε_f. The experimental parameters are extracted from the load–diametric contraction curve of an axisymmetric notched tensile bar test AN2. Keywords

Keywords: Damage mechanics, Gurson model, parameters identification, parametric analysis

Links

DOI: 10.1177/0954406213476232

WoS: 000326698900020

History

Received: 2012-09-24

Accepted: 2013-01-03

Online: 2013-02-15

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