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Title:

A locking-free finite element formulation and reduced models for geometrically exact Kirchhoff rods

Document type:
Zeitschriftenaufsatz
Author(s):
Meier, C.; Popp, A.; Wall, W.A.
Abstract:
In this work, we suggest a locking-free geometrically exact finite element formulation incorporating the modes of axial tension, torsion and bending of thin Kirchhoff beams with arbitrary initial curvatures and cross-section shapes. The proposed formulation has been designed in order to represent general load cases and three-dimensional problem settings in the geometrically nonlinear regime of large deformations. From this comprehensive theory, we not only derive a general beam model but also se...     »
Keywords:
Geometrically exact Kirchhoff beams, Large rotations, Finite elements, Reduced models, Membrane locking
Dewey Decimal Classification:
620 Ingenieurwissenschaften
Journal title:
Computer Methods in Applied Mechanics and Engineering
Year:
2015
Year / month:
2015-03
Quarter:
1. Quartal
Month:
Mar
Journal issue:
290
Pages contribution:
314 - 341
Covered by:
Web of Science
Reviewed:
ja
Language:
en
Fulltext / DOI:
doi:10.1016/j.cma.2015.02.029
Publisher:
Elsevier
Status:
Verlagsversion / published
Submitted:
15.05.2014
Accepted:
25.02.2015
Date of publication:
16.03.2015
Semester:
WS 14-15
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