A CREEP BENDING ANALYSIS OF PLATES BY THE FINITE ELEMENT METHOD

摘要

The finite element method of structural analysis is applied to the nonlinear problem of stationary creep bending of thin plates. The finite element formulation is derived from a kinematic variational theorem analogous to the theorem of stationary potential energy and results in a set of simultaneous nonlinear algebraic equations which are solved using the Newton-Raphson method.nTwo fully conforming refined plate elements, a six degree of freedom annular element for axisymmetric problems, and an eighteen degree of freedom triangular element are adapted for use in the solution of stationary creep bending problems. Example problems considered are a simply supported circular plate under a uniform load and a central point load, and a uniformly loaded simply supported square plate. The finite element solution obtained for the first problem shows excellent agreement with a previous solution.