A microstructurally-based internal length for strain localization problems in dynamics - Normandie Université Access content directly
Journal Articles European Journal of Mechanics - A/Solids Year : 2015

A microstructurally-based internal length for strain localization problems in dynamics

Abstract

Classical finite element method including strain-softening materials suffers from a mesh-dependency solution. The thickness of the bands in which strains are localized is arbitrarily narrow and may lead to a rupture without energy consumption. This is the case in quasi-static as well as in dynamics problems. The present paper uses a two-scale dynamic damage law that is based on an intrinsic length at micro-scale, corresponding to the inter-distance between two adjacent micro-cracks, that regularizes the strain localization problem in dynamics. The material response is time-dependent due to the inertial effect of the micro-crack propagation. This produces a natural, microstructurally-based, delayed response of the material that, in turn, removes the mesh-sensitivity in dynamics. As a consequence, the size of the strain localization band is controlled by the internal length of the material. © 2015 Elsevier Masson SAS. All rights reserved.

Dates and versions

hal-02184144 , version 1 (15-07-2019)

Identifiers

Cite

B. François, O. Keita. A microstructurally-based internal length for strain localization problems in dynamics. European Journal of Mechanics - A/Solids, 2015, 53, pp.282-293. ⟨10.1016/j.euromechsol.2015.05.012⟩. ⟨hal-02184144⟩
19 View
0 Download

Altmetric

Share

Gmail Facebook X LinkedIn More