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.
- linear inhomogeneous elasticity
- transversely isotropic material
- Love-type solution
Kashtalyan, M., & Rushchitsky, J. J. (2010). General love solution in the linear inhomogeneous transversely isotropic theory of radius-dependent elasticity. International Applied Mechanics, 46(4), 367-376. https://doi.org/10.1007/s10778-010-0318-0