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Fully C^1‐conforming subdivision elements for finite deformation thin‐shell analysis

Cirak, Fehmi and Ortiz, Michael (2001) Fully C^1‐conforming subdivision elements for finite deformation thin‐shell analysis. International Journal for Numerical Methods in Engineering, 51 (7). pp. 813-833. ISSN 0029-5981. https://resolver.caltech.edu/CaltechAUTHORS:20171212-153633409

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Abstract

We have extended the subdivision shell elements of Cirak et al. [18] to the finite-deformation range. The assumed finite-deformation kinematics allows for finite membrane and thickness stretching, as well as for large deflections and bending strains. The interpolation of the undeformed and deformed surfaces of the shell is accomplished through the use of subdivision surfaces. The resulting ‘subdivision elements’ are strictly C1-conforming, contain three nodes and one single quadrature point per element, and carry displacements at the nodes only. The versatility and good performance of the subdivision elements is demonstrated with the aid of a number of test cases, including the stretching of a tension strip; the inflation of a spherical shell under internal pressure; the bending and inflation of a circular plate under the action of uniform pressure; and the inflation of square and circular airbags. In particular, the airbag solutions, while exhibiting intricate folding patterns, appear to converge in certain salient features of the solution, which attests to the robustness of the method.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://dx.doi.org/10.1002/nme.182DOIArticle
http://onlinelibrary.wiley.com/doi/10.1002/nme.182/fullPublisherArticle
Alternate Title:Fully C1‐conforming subdivision elements for finite deformation thin‐shell analysis
Additional Information:© 2001 John Wiley & Sons. Received 7 March 2000. Revised 9 August 2000. The support of DARPA and NSF through Caltech’s OPAAL Project (DMS-9875042) is gratefully acknowledged.
Group:GALCIT
Funders:
Funding AgencyGrant Number
Defense Advanced Research Projects Agency (DARPA)UNSPECIFIED
NSFDMS-9875042
Subject Keywords:finite elements; non-linear shell elements; subdivision surfaces
Issue or Number:7
Record Number:CaltechAUTHORS:20171212-153633409
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20171212-153633409
Official Citation:Cirak, F. and Ortiz, M. (2001), Fully C1-conforming subdivision elements for finite deformation thin-shell analysis. Int. J. Numer. Meth. Engng., 51: 813–833.
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:83846
Collection:CaltechAUTHORS
Deposited By: Lydia Suarez
Deposited On:19 Dec 2017 22:23
Last Modified:03 Oct 2019 19:11

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