32 citations · 71 across the 8 of their papers we have counts for
8 papers
A study on nodal and isogeometric formulations for nonlinear dynamics of shear- and torsion-free rods
Thi-Hoa Nguyen, Bruno A. Roccia, Dominik Schillinger +1
In this work, we compare the nodal and isogeometric spatial discretization schemes for the nonlinear formulation of shear- and torsion-free rods introduced in [1]. We investigate t…
A locking-free isogeometric thin shell formulation based on higher order accurate diagonalized strain projection via approximate dual splines
Thi-Hoa Nguyen, René R. Hiemstra, Dominik Schillinger
We present a novel isogeometric discretization approach for the Kirchhoff-Love shell formulation based on the Hellinger-Reissner variational principle. For mitigating membrane lock…
Higher order accurate mass lumping for explicit isogeometric methods based on approximate dual basis functions
Rene Hiemstra, Thi-Hoa Nguyen, Sascha Eisentrager +2
This paper introduces a mathematical framework for explicit structural dynamics, employing approximate dual functionals and rowsum mass lumping. We demonstrate that the approach ma…
Nonlinear dynamic analysis of shear- and torsion-free rods using isogeometric discretization and outlier removal
Thi-Hoa Nguyen, Bruno A. Roccia, René R. Hiemstra +2
In this paper, we present a discrete formulation of nonlinear shear- and torsion-free rods introduced by Gebhardt and Romero in [20] that uses isogeometric discretization and robus…
Towards higher-order accurate mass lumping in explicit isogeometric analysis for structural dynamics
Thi-Hoa Nguyen, René R. Hiemstra, Sascha Eisenträger +1
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 th…
Variationally consistent mass scaling for explicit time-integration schemes of lower- and higher-order finite element methods
Stein K. F. Stoter, Thi-Hoa Nguyen, René R. Hiemstra +1
In this paper, we propose a variationally consistent technique for decreasing the maximum eigenfrequencies of structural dynamics related finite element formulations. Our approach…
A variational approach based on perturbed eigenvalue analysis for improving spectral properties of isogeometric multipatch discretizations
Thi-Hoa Nguyen, René R. Hiemstra, Stein K. F. Stoter +1
A key advantage of isogeometric discretizations is their accurate and well-behaved eigenfrequencies and eigenmodes. For degree two and higher, however, optical branches of spurious…
Leveraging spectral analysis to elucidate membrane locking and unlocking in isogeometric finite element formulations of the curved Euler-Bernoulli beam
Thi-Hoa Nguyen, René R. Hiemstra, Dominik Schillinger
In this paper, we take a fresh look at using spectral analysis for assessing locking phenomena in finite element formulations. We propose to "measure" locking by comparing the diff…