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A Variational Principle for the Revised Goodman-Cowin Theory with Internal Length

Fang, Chung and Wang, Yongqi and Hutter, Kolumban :
A Variational Principle for the Revised Goodman-Cowin Theory with Internal Length.
[Online-Edition: http://www.springerlink.com/content/5231v40411544431/]
In: Archive of Applied Mechanics, 76 (3-4) pp. 119-131. ISSN 0939-1533
[Article] , (2006)

Official URL: http://www.springerlink.com/content/5231v40411544431/

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).

Item Type: Article
Erschienen: 2006
Creators: Fang, Chung and Wang, Yongqi and Hutter, Kolumban
Title: A Variational Principle for the Revised Goodman-Cowin Theory with Internal Length
Language: English
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).

Journal or Publication Title: Archive of Applied Mechanics
Volume: 76
Number: 3-4
Publisher: Springer
Uncontrolled Keywords: Goodman–Cowin theory; Internal length; Granular materials; Variational principle
Divisions: 16 Department of Mechanical Engineering
16 Department of Mechanical Engineering > Fluid Dynamics (fdy)
Date Deposited: 24 Aug 2011 17:59
Official URL: http://www.springerlink.com/content/5231v40411544431/
Additional Information:

doi:10.1007/s00419-006-0009-9

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