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Document type:
Zeitschriftenaufsatz 
Author(s):
Meier, C.; Popp, A.; Wall, W.A. 
Title:
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...    »
 
Keywords:
Geometrically exact Kirchhoff beams, Initial curvature, Large rotations, Objectivity, Finite elements, C1-continuous Hermite interpolation 
Dewey Decimal Classification:
620 Ingenieurwissenschaften 
Journal title:
Computer Methods in Applied Mechanics and Engineering 
Year:
2014 
Journal volume:
278 
Pages contribution:
445–478 
Covered by:
Web of Science 
Reviewed:
ja 
Language:
en 
Status:
Verlagsversion / published 
Semester:
SS 14