Numerical analysis of fragmentation of granular materials using bridging scale method
Received:July 10, 2014  Revised:November 19, 2014
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DOI:10.7511/jslx201505013
KeyWord:granular material  particle crushing  finite element method  discrete element method  Cosserat continuum  bridging scale method
     
AuthorInstitution
王增会 大连理工大学 工业装备结构分析重点实验室, 大连
李锡夔 大连理工大学 工业装备结构分析重点实验室, 大连
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Abstract:
      Base on the existing bridging scale method(BSM) proposed for granular materials,a version of BSM,taking into account the fragmentation of grains,is developed.A numerical model of fragmentation of granular medium is introduced into the proposed BSM,in which the discrete particles assembly model using the discrete element method(DEM) and the Cosserat continuum model using the finite element method(FEM) are adopted in fine and coarse scales respectively.In the proposed BSM,the fine scale analysis using the DEM is limited to a localized computational domain for the simulation of mechanical behaviors in granular media at the meso-scale,including fragmentation of grains,along with frictional sliding and loss of contacts between each pair of immediate neighboring particles.Meanwhile,the FEM analysis that costs much less in both storage space and computational time than that of the DEM is applied to cover the whole computational domain.Furthermore,different time steps are allowed to the time integration schemes used for the fine and coarse scales respectively.As a consequence,both computational efficiency and accuracy of the present BSM is greatly enhanced.The numerical example is performed to demonstrate the applicability and advantages of the proposed BSM taking into account the fragmentation of grains,in addition,the effects of fragmentation of grains on the carrying capacity of geo-structure and the evolution of meso-structure.