On the equilibrium response of different modeling approaches for the porosity variation in dry granular matter |
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Authors: | Chung Fang |
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Institution: | (1) Department of Civil Engineering, National Cheng Kung University, No.1, University Road, Tainan City, 701, Taiwan |
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Abstract: | A selection of models for the variation in porosity in dry granular flows is investigated and compared on the basis of thermodynamic
consistency to illustrate their performance and limitations in equilibrium situations. To this end, the thermodynamic analysis,
based on the Müller–Liu entropy principle, is employed to deduce the ultimate constitutive equations at equilibrium. Results
show that while all the models deliver appropriate equilibrium expressions of the Cauchy stress tensor for compressible grains,
the model in which the variation in porosity is treated kinematically yields a spherical stress tensor for incompressible
grains. Only the model in which the variation in porosity is modeled by a dynamic equation can give rise to a non-spherical
stress tensor at equilibrium. The present study illuminates the validity and thermodynamic justification of the two modeling
approaches for the porosity variation in dry granular matter. |
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