https://scholars.lib.ntu.edu.tw/handle/123456789/80552
Title: | Micromorphic modeling of granular dynamics | Authors: | Chen, Kuo-Ching Lan, Jeng-Yin |
Keywords: | Continuum mechanics; Granular materials; Microcontinuum | Issue Date: | 2008 | Journal Volume: | 46 | Journal Issue: | 6 | Start page/Pages: | 1554-1563 | Source: | International Journal of Solids and Structures | Abstract: | This paper provides micromorphic modeling of a granular material. Micromorphic modeling treats an individual particle as a microelement and the particle composition in a representative volume element as a macroelement. By specifying the volume of a macroelement, continuum volume-type quantities such as mass density, body force, body couple, kinetic energy density, internal energy density, specific heat supply, etc., are determined by taking the averages of their discrete counterparts in a macroelement. The discrete expressions for the divergence of surface-type quantities (fluxes) are obtained with the help of discrete-continuum analogy for the discrete balance equations. We demonstrate that the discrete formulation of stress tensor in the dynamic condition, which involves both contributions from body forces and relative particle accelerations in a macroelement, can be simply expressed in terms of contact forces and branch vectors. This study constructs complete discrete-type and continuum-type balance equations for a granular material in a macroelement and at a macroscopic point, using the discrete-continuum correspondence for these field quantities. © 2008 Elsevier Ltd. All rights reserved. |
URI: | http://ntur.lib.ntu.edu.tw//handle/246246/119637 https://www.scopus.com/inward/record.uri?eid=2-s2.0-59349110630&doi=10.1016%2fj.ijsolstr.2008.11.022&partnerID=40&md5=0f776d944e23421585f1656445634e80 |
ISSN: | 00207683 | DOI: | 10.1016/j.ijsolstr.2008.11.022 | SDG/Keyword: | Continuum mechanics; Elasticity; Materials; Mechanics; Particle accelerator accessories; Trace elements; Balance equations; Body forces; Contact forces; Dynamic conditions; Granular dynamics; Heat supplies; Individual particles; Internal energies; Kinetic-energy densities; Macro elements; Mass densities; Microcontinuum; Microelement; Particle accelerations; Particle compositions; Representative volume elements; Stress tensors; Granular materials |
Appears in Collections: | 應用力學研究所 |
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