Radial expansion of a granular medium in spherical and cylindrical layers |
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Authors: | V M Sadovskii |
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Institution: | (1) Institute of Computational Modeling, Siberian Division, Russian Academy of Sciences, Krasnoyarsk, 660036, Russia |
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Abstract: | An exact solution that describes the fields of displacements and stresses in an expanding spherical layer is constructed within
the framework of the theory of small strains of a granular medium with rigid particles. For finite strains, the problem reduces
to a nonlinear system of ordinary differential equations, which is solved by numerical methods. Similar solutions are found
in the problem for a cylindrical layer. Based on these solutions, the effect of the dilatancy of the granular medium on the
stress-strain state near expanding cavities is found.
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Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 50, No. 3, pp. 190–196, May–June, 2009. |
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Keywords: | granular medium elasticity dilatancy Hencky logarithmic strain tensor variational inequality |
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