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The stress transmission universality classes of periodic granular arrays

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Ball, R. C. and Grinev, D. V.. (2001) The stress transmission universality classes of periodic granular arrays. Physica A : Statistical Mechanics and its Applications, Vol.292 (No.1-4). pp. 167-174. ISSN 0378-4371

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Official URL: http://dx.doi.org/10.1016/S0378-4371(00)00580-X

Abstract

The transmission of stress is analysed for static periodic arrays of rigid grains, with perfect and zero friction. For minimal coordination number (which is sensitive to friction, sphericity and dimensionality), the stress distribution is soluble without reference to the corresponding displacement fields. In non-degenerate cases, the constitutive equations are found to be simple linear in the stress components. The corresponding coefficients depend crucially upon geometrical disorder of the grain contacts.

Item Type:	Journal Article
Subjects:	Q Science > QC Physics
Divisions:	Faculty of Science > Physics
Library of Congress Subject Headings (LCSH):	Granular materials, Strains and stresses
Journal or Publication Title:	Physica A : Statistical Mechanics and its Applications
Publisher:	Elsevier Science BV
ISSN:	0378-4371
Date:	15 March 2001
Volume:	Vol.292
Number:	No.1-4
Number of Pages:	8
Page Range:	pp. 167-174
Identification Number:	10.1016/S0378-4371(00)00580-X
Status:	Peer Reviewed
Publication Status:	Published
Access rights to Published version:	Open Access
Funder:	Shell Petroleum N.V. (Netherlands), Engineering and Physical Sciences Research Council (EPSRC), National Science Foundation (U.S.) (NSF)
Grant number:	PHY94-07194 (NSF)
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URI:	http://wrap.warwick.ac.uk/id/eprint/12331