Galerkin formulations of isogeometric shell analysis: Alleviating locking with Greville quadratures and higher-order elements

Z Zou, TJR Hughes, MA Scott, RA Sauer… - Computer Methods in …, 2021 - Elsevier
We propose new quadrature schemes that asymptotically require only four in-plane points
for Reissner–Mindlin shell elements and nine in-plane points for Kirchhoff–Love shell …

Towards higher-order accurate mass lum** in explicit isogeometric analysis for structural dynamics

TH Nguyen, RR Hiemstra, S Eisenträger… - Computer Methods in …, 2023 - Elsevier
We present a mass lum** approach based on an isogeometric Petrov–Galerkin method
that preserves higher-order spatial accuracy in explicit dynamics calculations irrespective of …

An updated Lagrangian framework for Isogeometric Kirchhoff–Love thin-shell analysis

MD Alaydin, DJ Benson, Y Bazilevs - Computer Methods in Applied …, 2021 - Elsevier
We propose a comprehensive Isogeometric Kirchhoff–Love shell framework that is capable
of undergoing large elasto-plastic deformations. Central to this development, we reformulate …

Efficient and robust quadratures for isogeometric analysis: Reduced Gauss and Gauss–Greville rules

Z Zou, TJR Hughes, MA Scott, D Miao… - Computer Methods in …, 2022 - Elsevier
This work proposes two efficient quadrature rules, reduced Gauss quadrature and Gauss–
Greville quadrature, for isogeometric analysis. The rules are constructed to exactly integrate …

An isogeometric Reissner–Mindlin shell element based on Bézier dual basis functions: Overcoming locking and improved coarse mesh accuracy

Z Zou, MA Scott, D Miao, M Bischoff, B Oesterle… - Computer methods in …, 2020 - Elsevier
We develop a mixed geometrically nonlinear isogeometric Reissner–Mindlin shell element
for the analysis of thin-walled structures that leverages Bézier dual basis functions to …

Multi-patch isogeometric analysis for Kirchhoff–Love shell elements

S Schuß, M Dittmann, B Wohlmuth, S Klinkel… - Computer Methods in …, 2019 - Elsevier
We formulate a methodology to enforce interface conditions preserving higher-order
continuity across the interface. Isogeometrical methods (IGA) naturally allow us to deal with …

Removing membrane locking in quadratic NURBS-based discretizations of linear plane Kirchhoff rods: CAS elements

H Casquero, M Golestanian - Computer Methods in Applied Mechanics and …, 2022 - Elsevier
NURBS-based discretizations of the Galerkin method suffer from membrane locking when
applied to primal formulations of curved thin-walled structures. We consider linear plane …

[HTML][HTML] A comparison of smooth basis constructions for isogeometric analysis

HM Verhelst, P Weinmüller, A Mantzaflaris… - Computer Methods in …, 2024 - Elsevier
In order to perform isogeometric analysis with increased smoothness on complex domains,
trimming, variational coupling or unstructured spline methods can be used. The latter two …

The embedded isogeometric Kirchhoff–Love shell: from design to shape optimization of non-conforming stiffened multipatch structures

T Hirschler, R Bouclier, A Duval, T Elguedj… - Computer Methods in …, 2019 - Elsevier
Isogeometric shape optimization uses a unique model for the geometric description and for
the analysis. The benefits are multiple: in particular, it avoids tedious procedures related to …