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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 …
[HTML][HTML] Critical time-step size analysis and mass scaling by ghost-penalty for immersogeometric explicit dynamics
In this article, we study the effect of small-cut elements on the critical time-step size in an
immersogeometric explicit dynamics context. We analyze different formulations for second …
immersogeometric explicit dynamics context. We analyze different formulations for second …
[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 …
trimming, variational coupling or unstructured spline methods can be used. The latter two …
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 …
[HTML][HTML] Outlier-free spline spaces for isogeometric discretizations of biharmonic and polyharmonic eigenvalue problems
We present outlier-free isogeometric Galerkin discretizations of eigenvalue problems related
to the biharmonic and the polyharmonic operator in the univariate setting. These are …
to the biharmonic and the polyharmonic operator in the univariate setting. These are …
[HTML][HTML] Variationally consistent mass scaling for explicit time-integration schemes of lower-and higher-order finite element methods
In this paper, we propose a variationally consistent technique for decreasing the maximum
eigenfrequencies of structural dynamics related finite element formulations. Our approach is …
eigenfrequencies of structural dynamics related finite element formulations. Our approach is …
Nonlinear dynamic analysis of shear-and torsion-free rods using isogeometric discretization and outlier removal
In this paper, we present a discrete formulation of nonlinear shear-and torsion-free rods
introduced by Gebhardt and Romero (Acta Mechanica 232 (10): 3825–3847, 2021) that …
introduced by Gebhardt and Romero (Acta Mechanica 232 (10): 3825–3847, 2021) that …
Mass lum** and outlier removal strategies for complex geometries in isogeometric analysis
Mass lum** techniques are commonly employed in explicit time integration schemes for
problems in structural dynamics and both avoid solving costly linear systems with the …
problems in structural dynamics and both avoid solving costly linear systems with the …
Robust mass lum** and outlier removal strategies in isogeometric analysis
Mass lum** techniques are commonly employed in explicit time integration schemes for
problems in structural dynamics and both avoid solving costly linear systems with the …
problems in structural dynamics and both avoid solving costly linear systems with the …
A locking-free isogeometric thin shell formulation based on higher order accurate local strain projection via approximate dual splines
We present a novel isogeometric discretization approach for the Kirchhoff-Love shell
formulation based on the Hellinger-Reissner variational principle. For mitigating membrane …
formulation based on the Hellinger-Reissner variational principle. For mitigating membrane …