Fang, Chung ; Wang, Yongqi ; Hutter, Kolumban (2006)
A Variational Principle for the Revised Goodman-Cowin Theory with Internal Length.
In: Archive of Applied Mechanics, 76 (3-4)
Artikel, Bibliographie
Kurzbeschreibung (Abstract)
In the present study a variational principle is proposed for the revised Goodman-Cowin theory with internal length for cohesionless granular materials (Fang et al. in Continuum Mech Thermodyn in press). The balance equations of the internal variables employed in the theory in equilibrium states, the equilibrium expressions of the constitutive variables and the corresponding natural boundary conditions are derived by use of the proposed variational principle for both cases of compressible and incompressible grains. It is demonstrated that the derived results coincide with those obtained by use of the thermodynamic analysis. The current work serves as a supplementary variational verification of the constitutive theory proposed in Fang et al. (in Continuum Mech Thermodyn in press).
| Typ des Eintrags: | Artikel |
|---|---|
| Erschienen: | 2006 |
| Autor(en): | Fang, Chung ; Wang, Yongqi ; Hutter, Kolumban |
| Art des Eintrags: | Bibliographie |
| Titel: | A Variational Principle for the Revised Goodman-Cowin Theory with Internal Length |
| Sprache: | Englisch |
| Publikationsjahr: | 1 Januar 2006 |
| Verlag: | Springer |
| Titel der Zeitschrift, Zeitung oder Schriftenreihe: | Archive of Applied Mechanics |
| Jahrgang/Volume einer Zeitschrift: | 76 |
| (Heft-)Nummer: | 3-4 |
| URL / URN: | http://www.springerlink.com/content/5231v40411544431/ |
| Kurzbeschreibung (Abstract): | In the present study a variational principle is proposed for the revised Goodman-Cowin theory with internal length for cohesionless granular materials (Fang et al. in Continuum Mech Thermodyn in press). The balance equations of the internal variables employed in the theory in equilibrium states, the equilibrium expressions of the constitutive variables and the corresponding natural boundary conditions are derived by use of the proposed variational principle for both cases of compressible and incompressible grains. It is demonstrated that the derived results coincide with those obtained by use of the thermodynamic analysis. The current work serves as a supplementary variational verification of the constitutive theory proposed in Fang et al. (in Continuum Mech Thermodyn in press). |
| Freie Schlagworte: | Goodman–Cowin theory; Internal length; Granular materials; Variational principle |
| Zusätzliche Informationen: | doi:10.1007/s00419-006-0009-9 |
| Fachbereich(e)/-gebiet(e): | 16 Fachbereich Maschinenbau 16 Fachbereich Maschinenbau > Fachgebiet für Strömungsdynamik (fdy) |
| Hinterlegungsdatum: | 24 Aug 2011 17:59 |
| Letzte Änderung: | 18 Feb 2019 15:12 |
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