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Locking-free isogeometric collocation formulation for three-dimensional geometrically exact shear-deformable beams with arbitrary initial curvature.
- Source :
-
Computer Methods in Applied Mechanics & Engineering . Sep2017, Vol. 324, p546-572. 27p. - Publication Year :
- 2017
-
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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00457825
- Volume :
- 324
- Database :
- Academic Search Index
- Journal :
- Computer Methods in Applied Mechanics & Engineering
- Publication Type :
- Academic Journal
- Accession number :
- 124472241
- Full Text :
- https://doi.org/10.1016/j.cma.2017.06.031