ON SMALL FINITE DEFLECTIONS OF SHEARDEFORMABLE ELASTIC PLATES

Consideration is given to a tenth-order system of differential equations which, in a certain sense, may be thought of as a limit of possible generalizations, including the effect of transverse sheardeformability, of von Karman's equations for isotropic nonsheardeformable plates. The author shows that, subject to certain restrictions, this system of equations can be written, in direct extension of von Karman's result and in direct extension of a special case of a recent result for sheardeformable shallow shells in the form of two simultaneous fourth-order equations supplemented by one equation of second order.