Abstract
We obtain the equations of a two-dimensional eighth-order theory for the transverse bending of transversely isotropic plates, through use of a variational equation for displacements and transverse stresses. We show that, for sufficiently thin plates, the solution involves an equation of the fourth order for an interior solution contribution, and two equations of the second order for edge zone solution contributions. One of these accounts for transverse shear stress effects, in nearly the same manner as this effect occurs in the sixth-order theory, and the other accounts for transverse normal stress effects which are neglected in the sixth-order theory.
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