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

T.j.r. Hughes; Zhihui Zou; M.a. Scott; Roger Sauer; E.j. Savitha

doi:10.1007/978-3-030-87312-7_21

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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Details

Category:

Monographic publication

Type:

rozdział, artykuł w książce - dziele zbiorowym /podręczniku w języku o zasięgu międzynarodowym

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/ : , , s.207-215

DOI: