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Dokumenttyp:
Zeitschriftenaufsatz 
Autor(en):
Meier, C.; Popp, A.; Wall, W.A. 
Titel:
An Objective 3D Large Deformation Finite Element Formulation for Geometrically Exact Curved Kirchhoff Rods 
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 
Status:
Verlagsversion / published 
Semester:
SS 14