A new locking-free shear deformable finite element based on absolute nodal coordinates

By D. García-Vallejo, Aki Mikkola, José Luis Escalona. 2007

127 citations recorded by the source corpus.

Subfields: Control and Systems Engineering, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/31b6cda22a722f8d3cee363ee8ad6368ce6d9307

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In Control and Systems Engineering

In Mechanics of Materials

Citations in the corpus

Simulation of planar flexible multibody systems with clearance and lubricated revolute joints (2010, methodology): “Garcia-Vallejo et al. [ 36 ] proved that this type of ANCFbased beam element has a shear locking problem that affects the simulation accuracy greatly.”
A new locking-free formulation for planar, shear deformable, linear and quadratic beam finite elements based on the absolute nodal coordinate formulation (2011, methodology): “The shape functions are chosen similar to those given in [9] as”
Simulation of a viscoelastic flexible multibody system using absolute nodal coordinate and fractional derivative methods (2009, unknown): “[39].”
State of the Art of ANCF Elements Regarding Geometric Description, Interpolation Strategies, Definition of Elastic Forces, Validation and the Locking Phenomenon in Comparison with Proposed Beam Finite Elements (2014, unknown): “[32] presented a three-noded analogue.”
Dynamics of a large scale rigid–flexible multibody system composed of composite laminated plates (2011, background): “However, most of studies [4–10] are limited to the beam elements of ANCF and corresponding applications.”
A quaternion-based formulation of Euler–Bernoulli beam without singularity (2012, background): “This formulation owns a great advantage of constant mass matrix but might have locking problems [9–11].”