Abstract
We formulate the general higher-order theory of plates under the assumption of displacement and stress components which satisfy exactly the boundary (loading) conditions of upper and lower surfaces of the plate. The results of this theory include the both cases of bending and stretching behaviours of the plates. It is shown that the recently proposed theories of second-order by Reissner and Koga can be derived as a special case of our formulation with employment of a few lower-terms.
Numerical results for the case of torsion of a rectangular plate under the several order theories with truncated terms are compared with the exact solution of elasticity.
