Equilibrium State of a Binary Granular Solids Mixture

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Abstract:

We consider a possible equilibrium configuration under dead load of a vertical cylindrical specimen which is composed of a mixture of two elastic materials. An energetic approach in the mixture evolution is performed and this particular approach can be utilized to describe the bi-phase characterization of the mixture material. Our final aim is to build a theoretical simple model to determine the decrease load bearing capacity of mixture.

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389-392

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March 2011

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© 2011 Trans Tech Publications Ltd. All Rights Reserved

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[1] R.G. Rajagopal, L. Tao, Mechanics of Mixture, World Scientific, Singapore, (1995).

Google Scholar

[2] C. Truesdell, Rational Thermodynamics, 2nd ed., Springer-Verlag, Berlin, (1984).

Google Scholar

[3] R. Fosdick, G. Royer-Carfagni, The static state of a two-phase solid mixture in a stressed elastic bar, International Journal Solids and Structures, 33, 16, 2267-2281, (1996).

DOI: 10.1016/0020-7683(95)00156-5

Google Scholar

[4] B. Paul, Prediction of elastic constants of multiphase materials, Trans. of Metallurgical Soc. of AIME, 218, 36-41, (1960).

Google Scholar

[5] J. Ball, Convexity conditions and existence theorem in non linear elasticity, Arch. Rat. Mech. Anal., 63, 337-403, (1978).

Google Scholar

[6] A. Cherkaev, Variational Methods for Structural Optimization, Springer-Verlag, Berlin, (2000).

Google Scholar

[7] R. Rockafeller, Convex Analisys, Princenton University Press, Princenton, (1997).

Google Scholar

[8] M. Buonsanti, R. Fosdick, G. Royer-Carfagni, Chemomechanical Equilibrium of Bar, Journal of Elasticity, 84, 167-188, (2006).

DOI: 10.1007/s10659-006-9062-4

Google Scholar

[9] J.L. Ericksen, Equilibrium of Bar, Journal of Elasticity, 5, 191-201, (1975).

Google Scholar