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 …
Towards higher-order accurate mass lum** in explicit isogeometric analysis for structural dynamics
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 …
that preserves higher-order spatial accuracy in explicit dynamics calculations irrespective of …
An updated Lagrangian framework for Isogeometric Kirchhoff–Love thin-shell analysis
We propose a comprehensive Isogeometric Kirchhoff–Love shell framework that is capable
of undergoing large elasto-plastic deformations. Central to this development, we reformulate …
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
This work proposes two efficient quadrature rules, reduced Gauss quadrature and Gauss–
Greville quadrature, for isogeometric analysis. The rules are constructed to exactly integrate …
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
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 …
for the analysis of thin-walled structures that leverages Bézier dual basis functions to …
Multi-patch isogeometric analysis for Kirchhoff–Love shell elements
We formulate a methodology to enforce interface conditions preserving higher-order
continuity across the interface. Isogeometrical methods (IGA) naturally allow us to deal with …
continuity across the interface. Isogeometrical methods (IGA) naturally allow us to deal with …
An efficient mass lum** scheme for isogeometric analysis based on approximate dual basis functions
S Held, S Eisenträger, W Dornisch - ar** scheme for explicit dynamics in
isogeometric analysis (IGA). To this end, an element formulation based on the idea of dual …
isogeometric analysis (IGA). To this end, an element formulation based on the idea of dual …
Removing membrane locking in quadratic NURBS-based discretizations of linear plane Kirchhoff rods: CAS elements
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 …
applied to primal formulations of curved thin-walled structures. We consider linear plane …
[HTML][HTML] A comparison of smooth basis constructions for isogeometric analysis
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 …
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
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 …
the analysis. The benefits are multiple: in particular, it avoids tedious procedures related to …