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International Applied Mechanics

, Volume 46, Issue 4, pp 367–376 | Cite as

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

  • M. Yu. Kashtalyan
  • J. J. Rushchitsky
Article

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

Keywords

linear inhomogeneous elasticity transversely isotropic material Love-type solution 

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Copyright information

© Springer Science+Business Media, Inc. 2010

Authors and Affiliations

  1. 1.Centre for Micro- and NanomechanicsUniversity of AberdeenScotlandGreat Britain
  2. 2.S. P. Timoshenko Institute of MechanicsNational Academy of Sciences of UkraineKyivUkraine

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