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A micro-mechanical investigation of bifurcation in granular materials
- Source :
-
International Journal of Solids & Structures . Oct2007, Vol. 44 Issue 20, p6630-6652. 23p. - Publication Year :
- 2007
-
Abstract
- Abstract: In this paper, the notion of loss of sustainability of a mechanical state in a granular assembly is investigated. The vanishing of the second-order work, defined on the macroscopic scale from tensorial variables, is shown to play a fundamental role in detecting the occurrence of this type of bifurcation. Then a link is established between the macroscopic second-order work on the specimen scale and a discrete local expression that introduces microscopic variables defined on each contact scale. This relation opens up a micro-mechanical interpretation allowing one to examine which micro-structural features are responsible for the vanishing of the macroscopic second-order work. Finally, it is established that both geometrical and material micro-structural origins may combine to induce the occurrence of bifurcation on a specimen scale. [Copyright &y& Elsevier]
- Subjects :
- *GRANULAR materials
*BULK solids
*PAPER
*PLAY
Subjects
Details
- Language :
- English
- ISSN :
- 00207683
- Volume :
- 44
- Issue :
- 20
- Database :
- Academic Search Index
- Journal :
- International Journal of Solids & Structures
- Publication Type :
- Academic Journal
- Accession number :
- 26249849
- Full Text :
- https://doi.org/10.1016/j.ijsolstr.2007.03.002