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

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International Applied Mechanics Aims and scope

A general Love solution for the inhomogeneous linear transversely 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. The key steps of deriving the classical Love solution are described for further use of the derivation procedure. The procedure of generalizing the Love solutions to the inhomogeneous theory of elasticity is detailed. This is the fifth publication in the series on general solutions in the inhomogeneous theory of elasticity. The new results obtained are promising for the modern theory of functionally graded materials

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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

Authors
  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. 4, pp. 3–13, April 2010.

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Kashtalyan, M.Y., Rushchitsky, J.J. General love solution in the linear inhomogeneous transversely isotropic theory of radius-dependent elasticity. Int Appl Mech 46, 367–376 (2010). https://doi.org/10.1007/s10778-010-0318-0

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  • DOI: https://doi.org/10.1007/s10778-010-0318-0

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