Abstract
In this paper we deal with an enlarged theory of binary mixtures: a second gradient solid constituent and a perfect fluid are considered. On the basis of this assumptions we obtain, for a linear elastic hollow cylinder, a set of density profiles of the solid matrix, parameterized by a suitable energetic coupling coefficient and characterized by the presence of boundary layers arising at the external surfaces of the body. A structural stability analysis of the partial differential equations, governing the motion of the mixture, is also developed, in a case which may be of interest in applications to underground structural engineering.
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dell’Isola, F., Sciarra, G., Batra, R.C. (2005). A Second Gradient Model for Deformable Porous Matrices Filled with an Inviscid Fluid. In: Gladwell, G.M.L., Huyghe, J., Raats, P.A., Cowin, S.C. (eds) IUTAM Symposium on Physicochemical and Electromechanical Interactions in Porous Media. Solid Mechanics and Its Applications, vol 125. Springer, Dordrecht. https://doi.org/10.1007/1-4020-3865-8_25
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DOI: https://doi.org/10.1007/1-4020-3865-8_25
Publisher Name: Springer, Dordrecht
Print ISBN: 978-1-4020-3864-8
Online ISBN: 978-1-4020-3865-5
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