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Constitutive Relations from Particle Simulations

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Desiderata Geotechnica

Part of the book series: Springer Series in Geomechanics and Geoengineering ((SSGG))

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Abstract

Particulate systems like powders, soil or granular matter are discrete, disordered systems displaying dynamic and static, fluid - and solid-like states. The transients between fluid - and solid-like behavior can be intermittent and sometimes both states coexist in steady-state. Bridging the gap between the particulate, microscopic picture (velocities, forces) on the particle scale and their continuum description (strain and stress) via a so-called micro-macro transition is the goal of this paper. The generalized local constitutive relation for the stress in critical state granular flows involves not only density and strain rate but also the jamming-density and the granular temperature.

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Notes

  1. 1.

    Using either one of the correction terms alone, without the other, leads to slightly different coefficients in Eqs. (1) and (2), e.g., when the I-dependence is neglected for the case of very small gravity and thus very small confining stress, one observes a slightly different \( \mu_{0} = 0.17 \) due to the considerable inertial number at small p, see Eq. (14) and Fig. 5 in Ref. [5]. Thus, correction functions should always be applied together!

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Authors and Affiliations

  1. Multi-Scale Mechanics (MSM), Faculty of Engineering Technology, MESA+, University of Twente, POBox 217, 7500 AE, Enschede, The Netherlands

    Stefan Luding

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  1. Stefan Luding
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Correspondence to Stefan Luding .

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Editors and Affiliations

  1. Institut für Geotechnik, Universität für Bodenkultur, Vienna, Austria

    Wei Wu

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Luding, S. (2019). Constitutive Relations from Particle Simulations. In: Wu, W. (eds) Desiderata Geotechnica. Springer Series in Geomechanics and Geoengineering. Springer, Cham. https://doi.org/10.1007/978-3-030-14987-1_10

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  • DOI: https://doi.org/10.1007/978-3-030-14987-1_10

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  • Print ISBN: 978-3-030-14986-4

  • Online ISBN: 978-3-030-14987-1

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