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Rotational Degrees of Freedom of Particles

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Mathematical Modeling in Mechanics of Granular Materials

Part of the book series: Advanced Structured Materials ((STRUCTMAT,volume 21))

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Abstract

On the basis of a mathematical model of the Cosserat continuum and a generalized model, that describes the different resistance of a material with respect to tension and compression, the influence of rotational motion of particles onto the stress-strain state of a granular material is studied. It is shown that a couple-stress elastic medium has the resonance frequency, coinciding with the frequency of natural oscillations of rotational motion of the particles. The solution of the problem of uniform shear of a granular material, having rotational degrees of freedom, is analyzed in the framework of linear and nonlinear models.

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  1. ICM SB RAS, Akademgorodok 50/44, Krasnoyarsk, Russia, 660036

    Oxana Sadovskaya & Vladimir Sadovskii

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  1. Oxana Sadovskaya
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  2. Vladimir Sadovskii
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Correspondence to Oxana Sadovskaya .

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Sadovskaya, O., Sadovskii, V. (2012). Rotational Degrees of Freedom of Particles. In: Mathematical Modeling in Mechanics of Granular Materials. Advanced Structured Materials, vol 21. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-29053-4_10

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