A SIMPLE 4-NODED QUADRILATERAL FINITE-ELEMENT FOR PLATES

A simple and accurate four-noded quadrilateral finite element based on the Mindlin plate theory and Kirchhoff constraints is presented for g eneral thin plate bending applications. The derivation of the element stiffness properties is straightforward starting with a specified eigh t nodes interpolation and usual discrete Kirchhoff constraints are emp loyed to constrain out the four mid-side nodes of the element. The pre sent resulting DK element passes patch tests with elements of arbitrar y and even highly distorted mesh types. Numerical studies of the eleme nt convergence behaviors are undertaken for various plate bending prob lems so far investigated. It is indicated from comparative examples th at fairly good convergence characteristics have been achieved.