A thermo-mechanical continuum theory with internal length for cohesionless granular materials: PPart I. A class of constitutive models

Chung Fang, Yongqi Wang, Kolumban Hutter

研究成果: Article同行評審

27 引文 斯高帕斯(Scopus)

摘要

A thermodynamically consistent continuum theory for single-phase, single-constituent cohesionless granular materials is presented. The theory is motivated by dimensional inconsistencies of the original Goodman-Cowin theory [1-3]; it is constructed by removing these inconsistencies through the introduction of an internal length l. Four constitutive models are proposed and discussed in which l is (i) a material constant (Model I), (ii) an independent constitutive variable (Model II), (iii) an independent dynamic field quantity (Model III) and (iv) an independent kinematic field quantity (Model IV). Expressions of the constitutive variables emerging in the systems of the balance equations in these four models in thermodynamic equilibrium are deduced by use of a thermodynamic analysis based on the Müller-Liu entropy principle. Comments on the validity of these four models are given and discussed; the results presented in the current study show a more general formulation for the constitutive quantities and can be used as a basis for further continuum-based theoretical investigations on the behaviour of flowing granular materials. Numerical results regarding simple plane shear flows will be discussed and compared in Part II of this work.

原文English
頁(從 - 到)545-576
頁數32
期刊Continuum Mechanics and Thermodynamics
17
發行號8
DOIs
出版狀態Published - 2006 七月 1

All Science Journal Classification (ASJC) codes

  • Materials Science(all)
  • Mechanics of Materials
  • Physics and Astronomy(all)

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