On the equilibrium response of different modeling approaches for the porosity variation in dry granular matter

研究成果: Article同行評審

1 引文 斯高帕斯(Scopus)

摘要

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.

原文English
頁(從 - 到)121-136
頁數16
期刊Continuum Mechanics and Thermodynamics
22
發行號2
DOIs
出版狀態Published - 2010 二月 1

All Science Journal Classification (ASJC) codes

  • 材料科學(全部)
  • 材料力學
  • 物理與天文學 (全部)

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