3-D elasto-plastic large deformations: IGA simulation by Bézier extraction of NURBS

Lai, W, Yu, T, Bui, T, Wang, Z, Curiel-Sosa, J, Das, R and Hirose, S 2017, '3-D elasto-plastic large deformations: IGA simulation by Bézier extraction of NURBS', Advances in Engineering Software, vol. 108, pp. 68-82.


Document type: Journal Article
Collection: Journal Articles

Title 3-D elasto-plastic large deformations: IGA simulation by Bézier extraction of NURBS
Author(s) Lai, W
Yu, T
Bui, T
Wang, Z
Curiel-Sosa, J
Das, R
Hirose, S
Year 2017
Journal name Advances in Engineering Software
Volume number 108
Start page 68
End page 82
Total pages 15
Publisher Pergamon Press
Abstract This paper is devoted to the numerical simulation of elasto-plastic large deformation in three-dimensional (3-D) solids using isogeometric analysis (IGA) based on Bézier extraction of NURBS (non-uniform rational B-splines), due to some inherently desirable features. The Bézier extraction operation decomposes the NURBS basis functions into a set of linear combination of Bernstein polynomials and a set of C 0 -continuity Bézier elements. Consequently, the IGA based on Bézier extraction of NURBS can be embedded in existing FEM codes, and more importantly, as have been shown in literature that higher accuracy over traditional FEM can be gained. The main features distinguishing between the IGA and FEM are the exact geometry description with fewer control points, high-order continuity, high accuracy. Unlike the standard FEM, the NURBS basis functions are capable of precisely describing both geometry and solution fields. The present kinematic is based on the Total Lagrange description due to the elasto-plastic large deformation with deformation history. The results for the distributions of displacements, von Mises stress, yielded zones, and force-displacement curves are computed and analyzed. For the sake of comparison of the numerical results, the same numerical examples have additionally been computed with the FEM using ABAQUS. IGA numerical results show the robustness and accuracy of the technique.
Subject Information and Computing Sciences not elsewhere classified
Engineering not elsewhere classified
Keyword(s) 3-D
Bézier extraction
Elasto-plastic large deformation
FEM
Isogeometric analysis
NURBS
DOI - identifier 10.1016/j.advengsoft.2017.02.011
Copyright notice © 2017 Elsevier
ISSN 0965-9978
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