An insight on NURBS based isogeometric analysis, its current status and involvement in mechanical applications

V Gupta, A Jameel, SK Verma, S Anand… - Archives of Computational …, 2023 - Springer
The current communication is a state-of-the-art review of the recently developed
Isogeometric analysis and its various applications such as structural, thermal, fluid–structure …

Models and finite elements for thin‐walled structures

M Bischoff, KU Bletzinger, WA Wall… - Encyclopedia of …, 2004 - Wiley Online Library
The present study provides an overview of modeling and discretization aspects in finite
element analysis of thin‐walled structures. Shell formulations based upon derivation from …

Overcoming membrane locking in quadratic NURBS-based discretizations of linear Kirchhoff–Love shells: CAS elements

H Casquero, KD Mathews - Computer Methods in Applied Mechanics and …, 2023 - Elsevier
Quadratic NURBS-based discretizations of the Galerkin method suffer from membrane
locking when applied to Kirchhoff–Love shell formulations. Membrane locking causes not …

Phase-field description of brittle fracture in plates and shells

J Kiendl, M Ambati, L De Lorenzis, H Gomez… - Computer Methods in …, 2016 - Elsevier
We present an approach for phase-field modeling of fracture in thin structures like plates and
shells, where the kinematics is defined by midsurface variables. Accordingly, the phase field …

Seamless integration of design and Kirchhoff–Love shell analysis using analysis-suitable unstructured T-splines

H Casquero, X Wei, D Toshniwal, A Li… - Computer Methods in …, 2020 - Elsevier
Abstract Analysis-suitable T-splines (ASTS) including both extraordinary points and T-
junctions are used to solve Kirchhoff–Love shell problems. Extraordinary points are required …

[HTML][HTML] Isogeometric analysis for multi-patch structured Kirchhoff–Love shells

A Farahat, HM Verhelst, J Kiendl, M Kapl - Computer Methods in Applied …, 2023 - Elsevier
We present an isogeometric method for Kirchhoff–Love shell analysis of shell structures with
geometries composed of multiple patches and which possibly possess extraordinary …

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

Y Guo, J Heller, TJR Hughes, M Ruess… - Computer Methods in …, 2018 - Elsevier
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 …

Computationally-efficient locking-free isogeometric discretizations of geometrically nonlinear Kirchhoff–Love shells

KD Mathews, H Casquero - Computer Methods in Applied Mechanics and …, 2024 - Elsevier
Discretizations based on the Bubnov-Galerkin method and the isoparametric concept suffer
from membrane locking when applied to Kirchhoff–Love shell formulations. Membrane …

Discontinuous Galerkin isogeometric analysis with peridynamic model for crack simulation of shell structure

Y **a, H Wang, G Zheng, G Shen, P Hu - Computer Methods in Applied …, 2022 - Elsevier
A discontinuous Galerkin (DG) isogeometric analysis (IGA) formulation with peridynamic
(PD) model is proposed for the simulation of cracks in shell structure. A micro-beam PD …

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 …