International Journal of Applied Science and Engineering
Published by Chaoyang University of Technology

Chung Fang*

Institute of Mechanics, AG3,  Darmstadt University of Technology,Hochschulstr. 1, 64289 Darmstadt, Germany

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Goodman and Cowin proposed in 1972 a continuum theory of a dry cohesionless granular material in which the solid volume fraction n is treated as an independent kinematical field for which an additional balance law of equilibrated force is postulated. In the derivation of said balance of equilibrated of force there exists some logical inconsistency and it results in the incorrect explanation of this balance equation and the incorrect balance of internal energy. It is demonstrated that the balance of equilibrated force can be modified by a simple dimensional analysis. The resulted modified Goodman-Cowin theory is then applied to investigate the constitutive models of flowing granular materials. A complete thermodynamic analysis based upon Müller-Liu approach is performed and the constitutive responses of a granular material in thermodynamic equilibrium are obtained. From the theoretical investigations it shows that the results are more general than those obtained from the original theory and for simple shearing flow problems the current theory can reproduce all results from previous works based on the original theory.


Keywords: Goodman-Cowin theory; entropy inequality; constitutive models; granular materials.

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Accepted: 2003-12-23
Available Online: 2004-03-02

Cite this article:

Fang, C. 2003. Modification of Goodman-Cowin theory and its application to the constitutive models of flowing granular materials, International Journal of Applied Science and Engineering, 2, 16–28.