Um refinamento h, p e hp adaptativo na análise de flexáo de placas semi-espessas

Abstract

In this work, the Finite Element Method is used through its h, p and hp adaptive version to solve the Reissner-Mindlin plate elastic bending problem. The object oriented programming philosophy (C++) is employed in order to overcome the natural difficulties of handling information in a self-adaptive finite element code. The Webb and Abouchacra hierarchical basis for triangular e lements, recently proposed in, is employed to discretize the plate domain. The adaptive refinement is done in accordance with the Zienkiewicz and Zhu error estimator. Finally, some numerical results are shown, being compared with analytical solutions, when they are available