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General love solution in the linear isotropic inhomogeneous theory of radius-dependent elasticity

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International Applied Mechanics Aims and scope

A general Love solution for the inhomogeneous linear isotropic theory of elasticity with the elastic constants dependent on the coordinate r is proposed. The axisymmetric case is analyzed and cylindrical coordinates are used. This is the fourth publication in the series on general solutions in the inhomogeneous theory of elasticity. The new results are promising for the modern theory of functionally graded materials. The key steps of deriving the Love solutions are described for further use of the derivation procedure. The procedure of generalizing the Love solutions to the inhomogeneous theory of elasticity is detailed. The results obtained are discussed

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Authors and Affiliations

  1. Centre for Micro- and Nanomechanics, University of Aberdeen, Scotland, AB24 3UE, Aberdeen, Great Britain

    M. Yu. Kashtalyan

  2. S. P. Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, 3 Nesterov St., Kyiv, Ukraine, 03057

    J. J. Rushchitsky

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  1. M. Yu. Kashtalyan
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  2. J. J. Rushchitsky
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Correspondence to M. Yu. Kashtalyan.

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Translated from Prikladnaya Mekhanika, Vol. 46, No. 3, pp. 3–13, March 2010.

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Kashtalyan, M.Y., Rushchitsky, J.J. General love solution in the linear isotropic inhomogeneous theory of radius-dependent elasticity. Int Appl Mech 46, 245–254 (2010). https://doi.org/10.1007/s10778-010-0304-6

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  • DOI: https://doi.org/10.1007/s10778-010-0304-6

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