Summary
Based on the three-dimensional theory of elasticity, this paper presents the state space equation for axisymmetric deformation of a laminated transversely isotropic annular plate. The finite Hankel transform is then introduced and applied to the state space equation. Four exact solutions corresponding to four specified boundary conditions are obtained and expressions for displacements and stresses are presented. Numerical results are finally compared with those obtained by the classical plate theory, the Reissner plate theory and the finite element method.
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Ding, H.J., Xu, R.Q. Exact solution for axisymmetric deformation of laminated transversely isotropic annular plates. Acta Mechanica 153, 169–182 (2002). https://doi.org/10.1007/BF01177450
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DOI: https://doi.org/10.1007/BF01177450