Stress correlations in granular materials: an entropic formulation

We study the response of dry granular materials to external stress using experiment, simulation, and theory. We derive a Ginzburg-Landau functional that enforces mechanical stability and positivity of contact forces. In this framework, the elastic moduli depend only on the applied stress. A combinat...

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Bibliographic Details
Published in:Physical review. E, Statistical, nonlinear, and soft matter physics Statistical, nonlinear, and soft matter physics, 2009-12, Vol.80 (6 Pt 1), p.060303-060303, Article 060303
Main Authors: Lois, G, Zhang, J, Majmudar, T S, Henkes, S, Chakraborty, B, O'Hern, C S, Behringer, R P
Format: Article
Language:English
Subjects:
Colloids - chemistry
Computer Simulation
Entropy
Models, Chemical
Statistics as Topic
Stress, Mechanical
Surface Properties
Thermodynamics
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Summary:We study the response of dry granular materials to external stress using experiment, simulation, and theory. We derive a Ginzburg-Landau functional that enforces mechanical stability and positivity of contact forces. In this framework, the elastic moduli depend only on the applied stress. A combination of this feature and the positivity constraint leads to stress correlations whose shape and magnitude are extremely sensitive to the nature of the applied stress. The predictions from the theory describe the stress correlations for both simulations and experiments semiquantitatively.
ISSN:1539-3755
1550-2376
DOI:10.1103/PhysRevE.80.060303