General love solution in the linear isotropic inhomogeneous theory of radius-dependent elasticity |
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| Authors: | M Yu Kashtalyan J J Rushchitsky |
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| Institution: | 1.Centre for Micro- and Nanomechanics,University of Aberdeen,Scotland,Great Britain;2.S. P. Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine,Kyiv,Ukraine |
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| Abstract: | 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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