Journal ArticleDOI
On finite element implementation of geometrically nonlinear Reissner's beam theory: three-dimensional curved beam elements
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TLDR
In this article, a hierarchical displacement interpolation was proposed for the beam theory of Reissner, which is capable of eliminating both shear and membrane locking phenomena in the finite element beam theory.About:
This article is published in Computer Methods in Applied Mechanics and Engineering.The article was published on 1995-04-01. It has received 302 citations till now. The article focuses on the topics: Finite element method & Timoshenko beam theory.read more
Citations
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Journal ArticleDOI
Computational strategies for flexible multibody systems
Tamer M. Wasfy,Ahmed K. Noor +1 more
TL;DR: The status and some recent developments in computational modeling of flexible multibody systems are summarized in this article, where a number of aspects of flexible multi-body dynamics including: modeling of the flexible components, constraint modeling, solution techniques, control strategies, coupled problems, design, and experimental studies.
Journal ArticleDOI
Computational aspects of vector-like parametrization of three-dimensional finite rotations
TL;DR: Theoretical and computational aspects of vector-like parametrization of three-dimensional finite rotations, which uses only three rotation parameters, are examined in detail in this paper.
Journal ArticleDOI
On the choice of finite rotation parameters
TL;DR: In this article, the authors discuss some aspects of the three-dimensional finite rotations pertinent to the formulation and computational treatment of the geometrically exact structural theories and propose a choice featuring an incremental rotation vector.
Journal ArticleDOI
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
Ignacio Romero,Francisco Armero +1 more
TL;DR: In this paper, a new finite element formulation of geometrically exact rod models in the three-dimensional dynamic elastic range is presented, leading to an objective (or frame-indifferent under superposed rigid body motions) approximation of the strain measures of the rod involving finite rotations of the director frame.
Journal ArticleDOI
Multi-body dynamics simulation of geometrically exact Cosserat rods
TL;DR: In this paper, a viscoelastic rod model based on Cosserat's geometrically exact theory of rods is presented, which is able to represent extension, shearing, bending and torsion.
References
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BookDOI
Non-Linear Finite Element Analysis of Solids and Structures: de Borst/Non-Linear Finite Element Analysis of Solids and Structures
TL;DR: De Borst et al. as mentioned in this paper present a condensed version of the original book with a focus on non-linear finite element technology, including nonlinear solution strategies, computational plasticity, damage mechanics, time-dependent effects, hyperelasticity and large-strain elasto-plasticity.
Book
Non-Linear Finite Element Analysis of Solids and Structures
TL;DR: De Borst et al. as discussed by the authors present a condensed version of the original book with a focus on non-linear finite element technology, including nonlinear solution strategies, computational plasticity, damage mechanics, time-dependent effects, hyperelasticity and large-strain elasto-plasticity.
Book
Mathematical foundations of elasticity
TL;DR: In this article, the mathematical foundations of three-dimensional elasticity using modern differential geometry and functional analysis are discussed. But the authors do not discuss the application of functional analysis to the problem of elasticity.
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A three-dimensional finite-strain rod model. Part II: Computational aspects
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