C. Constanda et al., ON THE BENDING OF PLATES WITH TRANSVERSE-SHEAR DEFORMATION AND MIXED PERIODIC BOUNDARY-CONDITIONS, Mathematical methods in the applied sciences, 18(5), 1995, pp. 337-344
The method of matched asymptotic expansions is used to find a homogeni
zed problem whose solution is an approximation to the solution of a mi
xed periodic boundary value problem in the theory of bending of thin e
lastic plates. A critical size for the fixed parts of the boundary is
found such that the boundary condition of the homogenized problem is a
n intermediate case between that for the clamped edge plate and that f
or the free boundary plate.