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 lumping in explicit isogeometric analysis for structural dynamics

TH Nguyen, RR Hiemstra, S Eisenträger… - Computer Methods in …, 2023 - Elsevier
We present a mass lumping 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 …

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 …

Extending CAS elements to remove shear and membrane locking from quadratic NURBS‐based discretizations of linear plane Timoshenko rods

M Golestanian, H Casquero - International Journal for …, 2023 - Wiley Online Library
Abstract Continuous‐assumed‐strain (CAS) elements were recently introduced (Casquero
and Golestanian. Comput Methods Appl Mech Eng. 2022; 399: 115354.) to remove the …

An implicit G1-conforming bi-cubic interpolation for the analysis of smooth and folded Kirchhoff–Love shell assemblies

L Greco, M Cuomo - Computer Methods in Applied Mechanics and …, 2021 - Elsevier
A quadrilateral bi-cubic G 1-conforming finite element for the analysis of Kirchhoff–Love
shell assemblies based on the rational Gregory interpolation is presented. The Gregory …

Non-uniform C1 patches around extraordinary points with applications to analysis-suitable unstructured T-splines

J Yang, G Zhao, W Wang, X Du, C Zuo - Computer Methods in Applied …, 2023 - Elsevier
This article extends the subset of analysis-suitable unstructured T-splines (ASUT-splines)
that have C 1 continuity in irregular regions to allow non-uniform knots at extraordinary …

A fully non-invasive hybrid IGA/FEM scheme for the analysis of localized non-linear phenomena

E Lapina, P Oumaziz, R Bouclier… - Computational Mechanics, 2023 - Springer
This work undertakes to combine the interests of IsoGeometric Analysis (IGA) and standard
Finite Element Methods (FEM) for the global/local simulation of structures. The idea is to …

Adaptive subdomain integration method for representing complex localized geometry in ANCF

G He, K Gao, Z Yu, J Jiang, Q Li - Acta Mechanica Sinica, 2022 - Springer
In this work, we propose incorporating the finite cell method (FCM) into the absolute nodal
coordinate formulation (ANCF) to improve the efficiency and robustness of ANCF elements …