3 papers
math.NA2025
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…
cs.CE2025
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…
cs.CE2024
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…