Hosseini, S., Remmers, J.J.C., Verhoosel, C.V. et al. (1 more author) (2014) An isogeometric continuum shell element for non-linear analysis. Computer Methods in Applied Mechanics and Engineering, 271. pp. 1-22. ISSN 0045-7825
Abstract
An isogeometric continuum shell formulation is proposed in which NURBS basis functions are used to construct the reference surface of the shell. Through-the-thickness behavior is interpolated using a higher-order B-spline which is in contrast to the standard continuum shell (solid-like shell) formulation where a linear Lagrange shape function is typically used in the thickness direction. The present formulation yields a complete isogeometric representation of the continuum shell. The shell element is implemented in a standard finite element code using Bézier extraction which facilitates numerical integration on the reference surface of the shell. Through-the-thickness integration is done using a connectivity array which determines the support of a B-spline basis function over an element. The formulation has been verified using different linear and geometrically non-linear examples. The ability of the formulation in modelling buckling of static delaminations in composite materials is also demonstrated. © 2013 Elsevier B.V.
Metadata
Item Type: | Article |
---|---|
Authors/Creators: |
|
Copyright, Publisher and Additional Information: | © 2016 Elsevier. This is an author produced version of a paper subsequently published in Computer Methods in Applied Mechanics and Engineering. Uploaded in accordance with the publisher's self-archiving policy. Article available under the terms of the CC-BY-NC-ND licence (https://creativecommons.org/licenses/by-nc-nd/4.0/) |
Keywords: | Isogeometric analysis; Continuum shell element; Solid-like shell element; Bézier extraction; Delamination |
Dates: |
|
Institution: | The University of Sheffield |
Academic Units: | The University of Sheffield > Faculty of Engineering (Sheffield) > Department of Civil and Structural Engineering (Sheffield) |
Depositing User: | Symplectic Sheffield |
Date Deposited: | 18 Mar 2016 15:17 |
Last Modified: | 08 Aug 2017 12:16 |
Published Version: | https://dx.doi.org/10.1016/j.cma.2013.11.023 |
Status: | Published |
Publisher: | Elsevier |
Refereed: | Yes |
Identification Number: | 10.1016/j.cma.2013.11.023 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:96204 |