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Integrated modeling, finite-element analysis, and engineering design for thin-shell structures using subdivision

Cirak, Fehmi and Scott, Michael J. and Antonsson, Erik K. and Ortiz, Michael and Schröder, Peter (2002) Integrated modeling, finite-element analysis, and engineering design for thin-shell structures using subdivision. Computer-Aided Design, 34 (2). pp. 137-148. ISSN 0010-4485. doi:10.1016/S0010-4485(01)00061-6.

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Many engineering design applications require geometric modeling and mechanical simulation of thin flexible structures, such as those found in the automotive and aerospace industries. Traditionally, geometric modeling, mechanical simulation, and engineering design are treated as separate modules requiring different methods and representations. Due to the incompatibility of the involved representations the transition from geometric modeling to mechanical simulation, as well as in the opposite direction, requires substantial effort. However, for engineering design purposes efficient transition between geometric modeling and mechanical simulation is essential. We propose the use of subdivision surfaces as a common foundation for modeling, simulation, and design in a unified framework. Subdivision surfaces provide a flexible and efficient tool for arbitrary topology free-form surface modeling, avoiding many of the problems inherent in traditional spline patch based approaches. The underlying basis functions are also ideally suited for a finite-element treatment of the so-called thin-shell equations, which describe the mechanical behavior of the modeled structures. The resulting solvers are highly scalable, providing an efficient computational foundation for design exploration and optimization. We demonstrate our claims with several design examples, showing the versatility and high accuracy of the proposed method.

Item Type:Article
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URLURL TypeDescription
Ortiz, Michael0000-0001-5877-4824
Schröder, Peter0000-0002-0323-7674
Additional Information:© 2001 Elsevier. Received 18 May 2000, Revised 17 November 2000, Accepted 27 November 2000, Available online 20 March 2002. Special thanks to Leif Kobbelt, M.x-Planck-Institut für Informatik, Saarbriücken, and the SGI-Utah Visual Supercomputing Center. The support of DARPA and NSF through Caltech's OPAAL Project (DMS-9875042) is gratefully acknowledged. Additional support was provided by NSF under Grant Nos. ACI-9624957, ACI-9721349, ASC-8920219, DMI-9523232, DMI-9813121, through a Packard fellowship to PS, and by Alias|Wavefront. Any opinions, findings, conclusions, or recommendations expressed in this publication are those of the authors and do not necessarily reflect the views of the sponsors.
Funding AgencyGrant Number
Defense Advanced Research Projects Agency (DARPA)UNSPECIFIED
David and Lucile Packard FoundationUNSPECIFIED
Subject Keywords:Subdivision surfaces; Finite elements; Shells
Issue or Number:2
Record Number:CaltechAUTHORS:20171208-164357957
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Official Citation:Fehmi Cirak, Michael J. Scott, Erik K. Antonsson, Michael Ortiz, Peter Schröder, Integrated modeling, finite-element analysis, and engineering design for thin-shell structures using subdivision, In Computer-Aided Design, Volume 34, Issue 2, 2002, Pages 137-148, ISSN 0010-4485, (
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:83778
Deposited By: Lydia Suarez
Deposited On:20 Dec 2017 18:36
Last Modified:05 Oct 2022 16:00

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