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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.
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https://hal-normandie-univ.archives-ouvertes.fr/hal-02184144
Contributor : Elisabeth van T Hof <>
Submitted on : Monday, July 15, 2019 - 6:05:33 PM
Last modification on : Thursday, June 4, 2020 - 10:24:09 AM

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

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