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Galerkin formulations with Greville quadrature rules for isogeometric shell analysis: Higher order elements and locking

Abstract

We propose new Greville quadrature schemes that asymptotically require only four in-plane points for Reissner-Mindlin (RM) shell elements and nine in-plane points for Kirchhoff-Love (KL) shell elements in B-spline and NURBS-based isogeometric shell analysis, independent of the polynomial degree of the elements. For polynomial degrees 5 and 6, the approach delivers high accuracy, low computational cost, and alleviates membrane and transverse shear locking.

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Category:
Monographic publication
Type:
rozdział, artykuł w książce - dziele zbiorowym /podręczniku w języku o zasięgu międzynarodowym
Title of issue:
Current Trends and Open Problems in Computational Mechanics strony 207 - 215
Language:
English
Publication year:
2022
Bibliographic description:
Hughes T., Zou Z., Scott M., Sauer R., Savitha E.: Galerkin formulations with Greville quadrature rules for isogeometric shell analysis: Higher order elements and locking// Current Trends and Open Problems in Computational Mechanics/ Cham: Springer, 2022,
DOI:
Digital Object Identifier (open in new tab) 10.1007/978-3-030-87312-7_21
Verified by:
Gdańsk University of Technology

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