Locking-free isogeometric collocation formulation for three-dimensional geometrically exact shear-deformable beams with arbitrary initial curvature

By Enzo Marino. 2017

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Abstract This paper presents a displacement-based and a mixed isogeometric collocation formulations for three-dimensional geometrically exact shear-deformable beams with arbitrarily curved initial geometry. Strong forms of both formulations are consistently linearized with respect to the underlying configuration manifold. High efficiency is achieved by using a geometrically consistent kinematic model in which incremental rotations are parametrized through the spatial rotation vector. Several numerical tests demonstrate that the proposed mixed formulation is totally locking-free for any choice of approximation degree. Mixed formulation also exhibits higher robustness in the incremental-iterative algorithm. Elimination of shear locking and low computational cost assured by the combination of isogeometric collocation with a consistent kinematic model result in a very efficient, accurate and geometrically powerful method able to handle geometrically complex beam problems.

Subfields: Computational Mechanics, Control and Systems Engineering, Mechanical Engineering

View Paper: https://www.semanticscholar.org/paper/d62dbdd90929198bbaf0488f9c481f74b287b17e