Variationally consistent isogeometric analysis of trimmed thin shells at finite deformations, based on the STEP exchange format

Yujie Guo, Jason Heller, Thomas J.R. Hughes, Martin Ruess, Dominik Schillinger

Research output: Contribution to journalArticlepeer-review

58 Scopus citations

Abstract

Following a series of recent innovations, isogeometric shell analysis based on trimmed CAD surfaces is currently being developed into an accurate, efficient and mature design-through-analysis methodology. This work contributes to this emerging technology with respect to the following aspects. On the analysis side, we present a robust variationally consistent Nitsche-type formulation for thin shells at large deformations that weakly enforces coupling constraints at trimming curves. On the geometry side, we present a set of algorithms that enable automatic interaction of trimmed shell analysis with CAD data structures based on the STEP exchange format. We integrate these methodologies in a comprehensive framework for isogeometric trimmed shell analysis. We demonstrate that our framework is able to seamlessly perform large-deformation stress analysis of an industry-scale 76-patch surface model of a Dodge RAM hood, while delivering comparable accuracy with respect to Simulia's commercial software package Abaqus.

Original languageEnglish (US)
Pages (from-to)39-79
Number of pages41
JournalComputer Methods in Applied Mechanics and Engineering
Volume336
DOIs
StatePublished - Jul 1 2018

Bibliographical note

Funding Information:
D. Schillinger gratefully acknowledges support from the National Science Foundation through the NSF CAREER Award No. 1651577 and the NSF grant CISE-156599. Y. Guo would like to thank the National Natural Science Foundation of China (Grant no. 11602106) and Natural Science Foundation of Jiangsu Province of China (Grant no. BK20160783) for their support. Thomas J. R. Hughes was partially supported by the Office of Naval Research (Grant Nos. N00014-17-1-2119 and N00014-13-1-0500), NSF/TARDEC (Grant No. 16504383), and by the Army Research Office (Grant No. W911NF-13-1-0220). This support is gratefully acknowledged. The authors also acknowledge the Minnesota Supercomputing Institute (MSI) of the University of Minnesota for providing computing resources that have contributed to the research results reported within this paper (https://www.msi.umn.edu/).

Funding Information:
D. Schillinger gratefully acknowledges support from the National Science Foundation through the NSF CAREER Award No. 1651577 and the NSF grant CISE-156599 . Y. Guo would like to thank the National Natural Science Foundation of China (Grant no. 11602106 ) and Natural Science Foundation of Jiangsu Province of China (Grant no. BK20160783 ) for their support. Thomas J. R. Hughes was partially supported by the Office of Naval Research (Grant Nos. N00014-17-1-2119 and N00014-13-1-0500) , NSF/TARDEC (Grant No. 16504383 ), and by the Army Research Office (Grant No. W911NF-13-1-0220 ). This support is gratefully acknowledged. The authors also acknowledge the Minnesota Supercomputing Institute (MSI) of the University of Minnesota for providing computing resources that have contributed to the research results reported within this paper ( https://www.msi.umn.edu/ ).

Publisher Copyright:
© 2018 Elsevier B.V.

Keywords

  • Abaqus
  • Isogeometric analysis
  • Kirchhoff–Love shells
  • STEP exchange format
  • Trimmed shell surfaces
  • Weakly enforced interface constraints

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