On the correct representation of bending and axial deformation in the absolute nodal coordinate formulation with an elastic line approach

206 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

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, methodology): “Euler ANCF elements differ from classical beam theories such as the Euler Elastica, but it was demonstrated how the results of both theories can be brought into accordance [45].”
Comparison of the absolute nodal coordinate and geometrically exact formulations for beams (2014, unknown): “2 Strain definition and interpolation technique for ANCF In the ANCF, the curvature is expressed in terms of the position vector of the beam’s reference line [27] as κ = x′1x ′′ 2 − x ′ 2x ′′ 1 ‖x′‖2 , (1)”
A new locking-free formulation for planar, shear deformable, linear and quadratic beam finite elements based on the absolute nodal coordinate formulation (2011, background): “In a recent study [2], it has been shown that Bernoulli–Euler ANCF elements may differ from classical beam theories such as the Euler Elastica, and it has been demonstrated how the results of both theories can be brought into agreement.”
A geometrically exact beam element based on the absolute nodal coordinate formulation (2008, background): “For more information on this effect, see Gerstmayr and Irschik [ 7 ].”