The enhanced assumed strain method for the isogeometric analysis of nearly incompressible deformation of solids

• Tipo: Artigo em Revista Científica Internacional
• Data: 2012

Autores

cardoso, rpr (Autor) Outra; de sa, jmac (Autor) FEUP

Revista

Título: International Journal for Numerical Methods in Engineering

Vol. 92 Nº 1

Páginas: 56-78

ISSN: 0029-5981

Editora: Wiley-Blackwell

Indexação

ISI Web of Knowledge - 17 Citações

Scopus - 18 Citações

Outras Informações

ID Authenticus: P-002-4GV

DOI: 10.1002/nme.4328

Abstract (EN): Isogeometric analysis has recently become very popular for the numerical modeling of structures and fluids. Among other potential features, advantages of using a non-uniform rational B-splines (NURBS)-based isogeometric analysis over the traditional finite element method include the possibility of using higher-order polynomials for the basis functions of the approximation space, which may be easily built on a recursive (hierarchical) fashion as well as higher convergence ratio. Nevertheless, NURBS-based isogeometric analysis suffers from the same problems depicted by other methods when it comes to reproduce isochoric deformations, that is, it shows volumetric locking, especially for low-order basis functions. Similar remedies as those that have been proposed for the finite element method may be appropriate for integration in the NURBS-based isogeometric analysis and some have already been tried with success. In this work, the analysis of the underlying space of incompressible deformations of a NURBS-based isogeometric approximation is performed with the main objective of understanding the likelihood of volumetric locking. As a remedy, the enhanced assumed strain methodology is blended with the NURBS-based isogeometric analysis to alleviate the volumetric locking associated with incompressible deformations. The solution includes a stabilization term derived directly from a penalized form of the classical VeubekeHuWashizu three-field variational principle. Copyright (c) 2012 John Wiley & Sons, Ltd.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 23