Ia. Okumura et Y. Oguma, SERIES SOLUTIONS FOR A TRANSVERSELY LOADED AND COMPLETELY CLAMPED THICK RECTANGULAR PLATE BASED ON THE 3-DIMENSIONAL THEORY OF ELASTICITY, Archive of applied mechanics, 68(2), 1998, pp. 103-121
The bending of a thick rectangular plate with all the edges completely
clamped is analyzed by the three-dimensional theory of elasticity. A
partially distributed uniform load over the top face is dealt within t
he analysis. The boundary conditions of the completely clamped edges a
re prescribed by three-dimensional, exact conditions that three displa
cement components vanish at the faces. The stress distributions at the
edges are minutely examined by making the best use of advantages of t
he exact analysis. The stress distributions for the case of a fully di
stributed uniform load are compared with those obtained by Reissner's
theory. The values of deflections and internal forces for various thic
kness-length ratios are also presented.