Stress correlations in granular materials: An entropic formulation
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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. © 2009 The American Physical Society.
Published Version (Please cite this version)10.1103/PhysRevE.80.060303
Publication InfoBehringer, Robert P; Chakraborty, B; Henkes, S; Lois, G; Majmudar, TS; O'Hern, CS; & Zhang, J (2009). Stress correlations in granular materials: An entropic formulation. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 80(6). pp. 60303. 10.1103/PhysRevE.80.060303. Retrieved from http://hdl.handle.net/10161/4281.
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James B. Duke Professor of Physics
Dr. Behringer's research interests include granular materials: friction, earthquakes, jamming; nonlinear dynamics; and fluids: Rayleigh-Benard convection, the flow of thin liquid films, porous media flow, and quantum fluids. His studies focus particularly on experiments (with some theory/simulation) that yield new insights into the dynamics and complex behavior of these systems. His experiments involve a number of highly novel approaches, including the use of photoelasticity for probing granular