An objective finite element approximation of the kinematics of geometrically exact rods and its use in the formulation of an energy–momentum conserving scheme in dynamics
By Ignacio Romero, F. Armero. 2002
224 citations recorded by the source corpus.
Subfields: Biomedical Engineering, Computational Mechanics, Numerical Analysis
View Paper: https://www.semanticscholar.org/paper/c04fa8d4b0641826ee06bdda706cd368595bd496
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Biomedical Engineering
- Debasish Roy
- Susanta Ghosh
- Peter Betsch
- Jerrold E. Marsden
- Magdalena Ortiz
- Sigrid Leyendecker
- Christoph Glocker
- Simon R. Eugster
In Computational Mechanics
- Jerrold E. Marsden
- Magdalena Ortiz
- Sigrid Leyendecker
- Debasish Roy
- Susanta Ghosh
- Peter Betsch
- Stefan Uhlar
- Christian Hesch
In Numerical Analysis
- Sigrid Leyendecker
- Magdalena Ortiz
- Jerrold E. Marsden
- Christian Hesch
- Stefan Uhlar
- Peter Betsch
- Debasish Roy
- Susanta Ghosh
Citations in the corpus
- Director‐based beam finite elements relying on the geometrically exact beam theory formulated in skew coordinates (2014, methodology): “The director interpolation has originally been employed in the finite element discretization of the Simo-Reissner beam theory in Romero & Armero [7] and Betsch & Steinmann [8, 9].”
- Energy-momentum conserving integration of multibody dynamics (2007, background): “[25], Romero and Armero [34], Betsch and Steinmann [9], Puso [33], Laursen and Love [28], and Armero [2], see also the references cited in these works.”
- The interpolation of rotations and its application to finite element models of geometrically exact rods (2004, methodology): “Furthermore, it can be used for the formulation of energy and momentum conserving algorithm for dynamic simulations (see [23]).”
- Variational integrators for constrained dynamical systems (2008, methodology): “This can be circumvented by the spatial interpolation of the director triad in (113) as proposed independently in [ 39 ] and [25].”
- A comparison of finite elements for nonlinear beams: the absolute nodal coordinate and geometrically exact formulations (2008, background): “More recent numerical implementations ([27,31,8]) have been able to solve this problem by resorting to better interpolation strategies for such degrees of freedom.”
- A frame-invariant scheme for the geometrically exact beam using rotation vector parametrization (2009, methodology): “In an approach different from Simo’s geometrically exact theory, Romero and Armero [ 31 ] and Betsch and Steinmann [15] have eliminated the explicit reference to finite rotation tensors and proposed new formulations of a geometrically exact beam with two director vectors.”