000004796 001__ 4796
000004796 005__ 20141119144554.0
000004796 04107 $$aeng
000004796 046__ $$k2002-06-02
000004796 100__ $$aPeters, John
000004796 24500 $$aDEVELOPMENT OF A CONTINUUM REPRESENTATION OF A DISCRETE GRANULAR MEDIUM

000004796 24630 $$n15.$$pProceedings of the 15th ASCE Engineering Mechanics Division Conference
000004796 260__ $$bColumbia University in the City of New York
000004796 506__ $$arestricted
000004796 520__ $$2eng$$aThe discrete element method (DEM) has become a popular tool for understanding granular mechanics. A central theme of DEM research to apply micromechanical concepts to improve constitutive relationships for continuum models. In particular, recent work has been directed at micro-polar models that account for an independent rotation field. Such models have applications for capturing important mechanism associated with localization and provide an avenue for formulating mathematically well-posed problems for materials subject to instability. A key step in applying micromechanics is the homogenization of the discrete quantities describing the granular media to equivalent continuum quantities. In this paper we discuss this process from that standpoint of homogenizing the equilibrium equations for the DEM by application of a smoothing function in a manner similar to the weighted residual method. The process results in equations of equilibrium for a Cosserat continuum and the associated boundary conditions from which well-known relationships between contact forces and continuum stress is recovered. The deformation measures that are conjugate to stress variables are considered in detail.

000004796 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000004796 653__ $$aGranular Media, Sand, Continuum

000004796 7112_ $$a15th ASCE Engineering Mechanics Division Conference$$cNew York (US)$$d2002-06-02 / 2002-06-05$$gEM2002
000004796 720__ $$aPeters, John$$iHorner, David
000004796 8560_ $$ffischerc@itam.cas.cz
000004796 8564_ $$s385543$$uhttps://invenio.itam.cas.cz/record/4796/files/349.pdf$$yOriginal version of the author's contribution as presented on CD, .
000004796 962__ $$r4594
000004796 980__ $$aPAPER