REFINAMENTO K DA ANÁLISE ISOGEOMÉTRICA APLICADO A PROBLEMAS BIDIMENSIONAIS DE CONCENTRAÇÃO DE TENSÕES
DOI:
https://doi.org/10.26512/ripe.v2i14.21363Keywords:
An´alise Isogeom´etrica. NURBS. Concentraç˜ao de Tens˜oes. Estado Plano de Tens˜oes.Abstract
Neste trabalho o refinamento k da An´alise Isogeom´etrica (AIG) ´e aplicado ao problema de concentrac¸ ˜ao de tens˜oes. As func¸ ˜oes bases NURBS s˜ao obtidas a partir da definiç˜ao da geometria e aplicadas na aproximac¸ ˜ao do campo desejado (conceito isoparam´etrico). Aplicase o refinamento, elevando-se a ordem das funç˜oes bases e inserindo-se um novo n´o, dentro do vetor de n´os, logo na sequˆencia. Com isso elevam-se as funções de ordem p para q, e a continuidade de Cpô€€€1 para Cqô€€€1, sendo esta uma grande vantagem no uso do refinamento k. O refinamento k da AIG ´e analisado e tamb´em comparado ao refinamento hp, ressalta-se tamb´em a utilizaç˜ao da AIG em problemas que envolvem concentraç˜ao de tens˜oes e a eficiˆencia do refinamento k.
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