An insight on NURBS based isogeometric analysis, its current status and involvement in mechanical applications
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 …
Isogeometric analysis and its various applications such as structural, thermal, fluid–structure …
Isogeometric Kirchhoff–Love shell formulations for general hyperelastic materials
We present formulations for compressible and incompressible hyperelastic thin shells which
can use general 3D constitutive models. The necessary plane stress condition is enforced …
can use general 3D constitutive models. The necessary plane stress condition is enforced …
Overcoming membrane locking in quadratic NURBS-based discretizations of linear Kirchhoff–Love shells: CAS elements
Quadratic NURBS-based discretizations of the Galerkin method suffer from membrane
locking when applied to Kirchhoff–Love shell formulations. Membrane locking causes not …
locking when applied to Kirchhoff–Love shell formulations. Membrane locking causes not …
Phase-field description of brittle fracture in plates and shells
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 …
shells, where the kinematics is defined by midsurface variables. Accordingly, the phase field …
A new rotation-free isogeometric thin shell formulation and a corresponding continuity constraint for patch boundaries
This paper presents a general non-linear computational formulation for rotation-free thin
shells based on isogeometric finite elements. It is a displacement-based formulation that …
shells based on isogeometric finite elements. It is a displacement-based formulation that …
Galerkin formulations of isogeometric shell analysis: Alleviating locking with Greville quadratures and higher-order elements
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 …
for Reissner–Mindlin shell elements and nine in-plane points for Kirchhoff–Love shell …
Seamless integration of design and Kirchhoff–Love shell analysis using analysis-suitable unstructured T-splines
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 …
junctions are used to solve Kirchhoff–Love shell problems. Extraordinary points are required …
[HTML][HTML] Isogeometric analysis for multi-patch structured Kirchhoff–Love shells
We present an isogeometric method for Kirchhoff–Love shell analysis of shell structures with
geometries composed of multiple patches and which possibly possess extraordinary …
geometries composed of multiple patches and which possibly possess extraordinary …
Selective and reduced numerical integrations for NURBS-based isogeometric analysis
C Adam, TJR Hughes, S Bouabdallah… - Computer Methods in …, 2015 - Elsevier
We propose a new approach to construct selective and reduced integration rules for
isogeometric analysis based on NURBS elements. The notion of an approximation space …
isogeometric analysis based on NURBS elements. The notion of an approximation space …
Numerical implementation for isogeometric analysis of thin-walled structures based on a Bézier extraction framework: nligaStruct
X Du, G Zhao, R Zhang, W Wang, J Yang - Thin-Walled Structures, 2022 - Elsevier
We present an open Octave/Matlab package nligaStruct, for linear and nonlinear
isogeometric analysis of thin-walled structures. nligaStruct is an extension of NLIGA in …
isogeometric analysis of thin-walled structures. nligaStruct is an extension of NLIGA in …