Constitutive Relations from Particle Simulations

Stefan Luding*

*Corresponding author for this work

    Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review


    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.

    Original languageEnglish
    Title of host publicationDesiderata Geotechnica
    EditorsWei Wu
    Number of pages7
    ISBN (Print)9783030149864
    Publication statusPublished - 1 Jan 2019
    EventChina-Europe Conference on Geotechnical Engineering, 2018 - Vienna, Austria
    Duration: 13 Aug 201816 Aug 2018

    Publication series

    NameSpringer Series in Geomechanics and Geoengineering
    ISSN (Print)1866-8755
    ISSN (Electronic)1866-8763


    ConferenceChina-Europe Conference on Geotechnical Engineering, 2018
    OtherContributions to a workshop dedicated to Prof. Gerd Gudehus on the occasion of his 80th birthday


    • Continuum rheology
    • Micro-macro transition
    • Particle models


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