A novel finite-element method for use in classical elastic plate problems

We present a novel finite-element method for solving problems in the bending of elastic plates. The basic matrix for an element has mixed force and displacement variables. The coefficients of the matrix are derived without recourse to extremum principles, by the application of conventional structural theory to a set of simple sub-problems or loading cases. Inter-connection of elements by their mid-side nodes is easy, and force or displacement boundary conditions may be imposed directly and easily. The method gives good results, and all force and displacement quantities, including boundary reactions, are readily accessible. The rectangular element here presented is one of a family developed by Woodhead.