Energy and averages in the mechanics of granular materials

Muhlhaus, HB and Hornby, P (2001) Energy and averages in the mechanics of granular materials. Tectonophysics, 335 1-2: 63-80. doi:10.1016/S0040-1951(01)00046-4

Author Muhlhaus, HB
Hornby, P
Title Energy and averages in the mechanics of granular materials
Journal name Tectonophysics   Check publisher's open access policy
ISSN 0040-1951
Publication date 2001-01-01
Sub-type Article (original research)
DOI 10.1016/S0040-1951(01)00046-4
Open Access Status Not Open Access
Volume 335
Issue 1-2
Start page 63
End page 80
Total pages 18
Place of publication Amsterdam
Publisher Elsevier Science Bv
Language eng
Abstract We derive a general thermo-mechanical theory for particulate materials consisting of granules of arbitrary whose material points possess three translational and three independent rotational degrees of freedom. Additional field variables are the translational and rotational granular temperatures, the kinetic energies shape and size. The kinematics of granulate is described within the framework of a polar continuum theory of the velocity and spin fluctuations respectively and the usual thermodynamic temperature. We distinguish between averages over particle categories (averages in mass/velocity and moment of inertia/spin space, respectively) and particle phases where the average extends over distinct subsets of particle categories (multi phase flows). The relationship between the thermal energy in the granular system and phonon energy in a molecular system is briefly discussed in the main body of the paper and discussed in detail in the Appendix A. (C) 2001 Elsevier Science B.V. All rights reserved.
Keyword Geochemistry & Geophysics
Granular Materials
Thermo-mechanical Theory
Multi Phase Flows
Q-Index Code C1
Q-Index Status Provisional Code
Institutional Status Unknown

Document type: Journal Article
Sub-type: Article (original research)
Collection: Earth Systems Science Computational Centre Publications
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Citation counts: TR Web of Science Citation Count  Cited 3 times in Thomson Reuters Web of Science Article | Citations
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Created: Mon, 13 Aug 2007, 22:26:48 EST