Journal Article10.1016/J.EUROMECHSOL.2015.05.012
A microstructurally-based internal length for strain localization problems in dynamics.
Bertrand François,Oumar Keita +1 more
5
TL;DR: In this article, a two-scale dynamic damage law based on an intrinsic length at micro-scale, corresponding to the inter-distance between two adjacent micro-cracks, was proposed to regularize the strain localization problem in dynamics.
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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.
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Citations
Localisation in a Cosserat continuum under static and dynamic loading conditions
R. de Borst,Lambertus J. Sluys +1 more
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A Fatigue Damage Propagation Model Based on Locally Periodic Micro-crack Growth
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TL;DR: A fatigue damage propagation model based on locally periodic micro-crack growth accurately predicts fatigue crack evolution under tensile loading. The model incorporates micro-mechanical damage mechanisms and successfully reproduces stress-strain shielding and the influence of microstructural length on fatigue damage evolution.
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