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Failure in granular materials: macro and micro views

Abstract : Failure is one of the most debated notions since many decades in geomechan-ics. On the one hand, the discrete nature of granular materials does not make it easy to define the notion from a phenomenological point of view. On the other hand, this notion is essential for civil engineers since projects have to be designed so as no failure is expected to occur. In this chapter, we consider the failure mode related to the creation of kinetic energy, without change in the control parameters. The general framework relating the existence of bursts of kinetic energy to the vanishing of the second-order work is first recalled. Then, the second-order work is investigated from a microme-chanical point of view. First, a micromechanical model (micro-directional model of Nicot and Darve) is considered. The macroscopic second-order work is shown to be the sum of microscopic second-order works, defined on each contact, ex-tended to all the existing contacts. Then, this result is generalized without referring to any constitutive model. This basic relation between both micro and macro sec-ond-order works is used to investigate the microstructural origins of the vanishing of the second-order work. First results are derived, highlighting the bridge be-tween both micro and macro scales, and further numerical simulations based on a discrete element method are presented to confirm the relevance of this multiscale approach of failure.
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Submitted on : Friday, May 15, 2020 - 4:29:46 PM
Last modification on : Thursday, August 5, 2021 - 1:37:04 PM

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  • HAL Id : hal-02592693, version 1
  • IRSTEA : PUB00027854

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François Nicot, L. Sibille, F. Darve, R. Wan, Muaweah Alsaleh, et al.. Failure in granular materials: macro and micro views. Bifurcation and Degradation in Geomaterials, Springer Verlag, pp.15, 2011, Springer Series in Geomechanics and Geoengineering, 978-3-642-18283-9. ⟨hal-02592693⟩

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