Estudo comparativo entre elementos finitos isoparametricos das familias serendipity e lagrangiana para a analise de estabilidade de placas e cascas

AUTOR(ES)
DATA DE PUBLICAÇÃO

2001

RESUMO

In 1970, Ahmad et aI. presented a formulation for the analysis of plates and shells, based on the degeneration of a three-dimensional solid element, by reducing its dimention in the thickness direction. The displacement field was then interpolated through the shape function of Serendipity fami1y and, in order to achieve the element characteristics, consistent integration was used. The obtained results were excellent for moderately thick plates and shells aplications, being in concordance with the Mind/in-Reissner s theory; however, with the reduction of the thickness, the element became excessively rigid and the results did not tend to those ofthe Kirchhoff s theory for thin plates and shells. The purpose of this work is the comparative study inthestabilityanalysis of plates and shells concerning the performance, considering consistent numerical integration, of the isoparametric, quadrilateral, quadratic finite element of Serendipity fami1y and of the isoparametric, quadrilateral, quadratic finite element of Lagrangian fami1y, achieved, both, ftom the Ahmad s formulation, one intends to estabilish, between both elements, which is the most adequa te to start the development of a subparametric hierarchical element, based on p aproximation concept, objectifying to remove the characteristic of excessive rigidy of the Ahmad s elements for the situation of thin plates and shells

ASSUNTO(S)

placas e cascas elasticas metodo dos elementos finitos estabilidade estrutural funções de lagrange

ACESSO AO ARTIGO

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