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Titel:

An Objective 3D Large Deformation Finite Element Formulation for Geometrically Exact Curved Kirchhoff Rods

Dokumenttyp:
Zeitschriftenaufsatz
Autor(en):
Meier, C.; Popp, A.; Wall, W.A.
Abstract:
The objective of this work is the development of a new finite element formulation for beams according to the Kirchhoff theory of thin rods, which includes the deformation states of axial tension, torsion and bending. The proposed formulation accounts for large deformations in three-dimensional problem settings consisting of slender, prismatic beams with arbitrarily curved initial geometries and arbitrary cross-section shapes. Like in geometrically exact Reissner theories the derived deformation...     »
Stichworte:
Geometrically exact Kirchhoff beams, Initial curvature, Large rotations, Objectivity, Finite elements, C1-continuous Hermite interpolation
Dewey Dezimalklassifikation:
620 Ingenieurwissenschaften
Zeitschriftentitel:
Computer Methods in Applied Mechanics and Engineering
Jahr:
2014
Band / Volume:
278
Seitenangaben Beitrag:
445–478
Nachgewiesen in:
Web of Science
Reviewed:
ja
Sprache:
en
Volltext / DOI:
doi:10.1016/j.cma.2014.05.017
Status:
Verlagsversion / published
Semester:
SS 14
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