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A continuous media approach to modeling the stress saturation effect in granular silos

Jamila Rahmoun1, Olivier Millet2 and Géry de Saxcé3

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A continuous media approach for the calculation of the stresses in an ensiled granular media which improves on the Janssen theory has been developed. This approach also allows us to represent qualitatively as well as quantitatively the stress saturation phenomenon in granular silos. It is based on three-dimensional equilibrium equations, coupled with a slip condition and a Mohr–Coulomb criterion at the silo walls. Predictions obtained using the proposed model are in close agreement with the classical approaches for non-cohesive materials. The effect of the cohesion and the friction walls on the stored materials was also investigated.


Keywords

friction

granular matter

plasticity (theory)

PACS

62.20.Qp Friction, tribology, and hardness

62.20.F- Deformation and plasticity

81.40.Jj Elasticity and anelasticity, stress-strain relations

81.40.Pq Friction, lubrication, and wear

81.40.Lm Deformation, plasticity, and creep

MSC

74E20 Granularity

74B10 Linear elasticity with initial stresses

74A10 Stress

74B15 Equations linearized about a deformed state (small deformations superposed on large)

74Cxx Plastic materials, materials of stress-rate and internal-variable type

74A55 Theories of friction (tribology)

Subjects

Condensed matter: structural, mechanical & thermal

Dates

Issue 06 (June 2008)

Received 17 March 2008, accepted for publication 28 May 2008

Published 23 June 2008



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