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An interpretation of the internal length in Chang’s couple-stress continuum for bonded granulates.
- Source :
- Granular Matter; Nov2007, Vol. 9 Issue 6, p431-437, 7p, 4 Diagrams, 1 Graph
- Publication Year :
- 2007
-
Abstract
- Theoretical investigation into bonded granulates is of great importance to modern geomechanics. This paper presents an interpretation of the internal length in Chang’s couple-stress continuum for bonded materials (Chang et al., Eng Fract Mech 69(17):1941–1958, 2002; Chang and Shi, J Eng Mech ASCE 131(2):120–130, 2005). First, a micro-model for bonds between particles is proposed, in which a pair of bonded particles is in contact over a width B and this bond contact width is continuously distributed with the normal/tangential basic elements (BE) (each BE is composed of spring, dashpot, bond, slider or divider). Second, a couple model for the bonds is established to describe the relationship between relative particle rotation and couple. Third, Chang’s couple-stress continuum for bonded material is analyzed in the case of a hexagonal packing structure of a monodisperse bonded material. The study shows that the internal length in Chang’s couple-stress continuum for bonded monodisperse material is equal to $${\sqrt 3}B/6$$ , while other usual elastic constants of the continuum can also be linked to B. In addition, those constants can be associated with a size-independent parameter proposed in this paper. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 14345021
- Volume :
- 9
- Issue :
- 6
- Database :
- Complementary Index
- Journal :
- Granular Matter
- Publication Type :
- Academic Journal
- Accession number :
- 27362828
- Full Text :
- https://doi.org/10.1007/s10035-007-0063-1