A two-dimensional shear deformable beam element based on the absolute nodal coordinate formulation

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A new locking-free shear deformable finite element based on absolute nodal coordinates (2007, methodology): “In the study of Dufva et al. [ 16 ], for instance, a mixed interpolation technique is employed to improve the element performance.”
A geometrically exact beam element based on the absolute nodal coordinate formulation (2008, methodology): “A cantilever beam with data similar to the paper of Dufva et al. [ 4 ] is studied in the following.”
Sparse matrix implicit numerical integration of the Stiff differential/algebraic equations: Implementation (2011, background): “The ANCF elastic forces can be formulated using the general continuum mechanics approach, which leads to ANCF coupled deformation modes that cannot be captured using other existing structural finite elements such as beams, plates, and shells [ 2 , 10, 11, 16].”
Use of B-Spline in the Finite Element Analysis: Comparison With ANCF Geometry (2012, background): “…not restrict the order of the parameters or the number of basis functions used in the interpolating polynomials (Dmitrochenko.and Pogorelov, 2003; Dufva et al., 2005; Garcia-Vallejo et al., 2008; Kerkkänen et al., 2006; Schwab and Meijaard, 2010; Tian et al., 2009, 2010; Yoo et al., 2004; Yakoub…”