Fang, Chung ; Wang, Yongqi ; Hutter, Kolumban (2006)
A thermo-mechanical continuum theory with internal length for cohesionless granular materials. Part I. A class of constitutive models.
In: Continuum Mechanics and Thermodynamics, 17 (8)
Artikel, Bibliographie
Kurzbeschreibung (Abstract)
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.
Typ des Eintrags: | Artikel |
---|---|
Erschienen: | 2006 |
Autor(en): | Fang, Chung ; Wang, Yongqi ; Hutter, Kolumban |
Art des Eintrags: | Bibliographie |
Titel: | A thermo-mechanical continuum theory with internal length for cohesionless granular materials. Part I. A class of constitutive models |
Sprache: | Englisch |
Publikationsjahr: | 2006 |
Verlag: | Springer |
Titel der Zeitschrift, Zeitung oder Schriftenreihe: | Continuum Mechanics and Thermodynamics |
Jahrgang/Volume einer Zeitschrift: | 17 |
(Heft-)Nummer: | 8 |
URL / URN: | http://www.springerlink.com/content/v83202545661730w/ |
Kurzbeschreibung (Abstract): | 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. |
Freie Schlagworte: | Goodman-Cowin theory; Müller-Liu entropy principle; Internal length; Granular materials |
Zusätzliche Informationen: | doi:10.1007/s00161-006-0007-8 |
Fachbereich(e)/-gebiet(e): | 16 Fachbereich Maschinenbau > Fachgebiet für Strömungsdynamik (fdy) 16 Fachbereich Maschinenbau |
Hinterlegungsdatum: | 24 Aug 2011 17:58 |
Letzte Änderung: | 17 Feb 2014 08:45 |
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