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

• Type: Article in International Scientific Journal
• Date: 2012

Authors

cardoso, rpr (Author) Other; de sa, jmac (Author) FEUP

Journal

Title: International Journal for Numerical Methods in Engineering

Vol. 92 No. 1

Pages: 56-78

ISSN: 0029-5981

Publisher: Wiley-Blackwell

Indexing

ISI Web of Knowledge - 17 Citations

Scopus - 18 Citations

Other information

Authenticus ID: 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.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 23