Please use this identifier to cite or link to this item:

Title: An objective and path-independent 3D finite-strain beam with least-squares assumed-strain formulation
Authors: Areias, Pedro
Pires, Marília
Vu-Bac, Nam
Rabczuk, Timon
Editors: Wriggers, P.
Keywords: Geometrically exact beams
Assumed strains
Constitutive laws
Issue Date: 4-Apr-2019
Publisher: springer
Citation: Areias, P., Pires, M., Bac, N.V. et al. An objective and path-independent 3D finite-strain beam with least-squares assumed-strain formulation. Comput Mech 64, 1115–1131 (2019) doi:10.1007/s00466-019-01696-1
Abstract: An all-encompassing finite-strain representation of rods, shells and continuum can share a common kinematic/constitutive framework where specific conditions for strain, stress and constitutive updating are applied. In this work, finite strain beams are under examination, with several classical requirements met by cooperative techniques judiciously applied. Specifically: the use of a continuum constitutive law is possible due to the relative strain formulation previously introduced, the rotation singularity problem is absent due to the use of a consistent (quadratic) updated Lagrangian technique. Objectiveness and path-independence of director interpolation are satisfied due to the use of a Löwdin frame. These properties are proved in this work. Moreover, high coarse-mesh accuracy is introduced by the least-squares assumed-strain technique, here specialized for a beam. Examples show the accuracy and robustness of the formulation.
Type: article
Appears in Collections:CIMA - Artigos em Livros de Actas/Proceedings

Files in This Item:

File Description SizeFormat
CIMAPDF_proof_hi(17).pdf2.96 MBAdobe PDFView/OpenRestrict Access. You can Request a copy!
FacebookTwitterDeliciousLinkedInDiggGoogle BookmarksMySpaceOrkut
Formato BibTex mendeley Endnote Logotipo do DeGóis 

Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.


Dspace Dspace
DSpace Software, version 1.6.2 Copyright © 2002-2008 MIT and Hewlett-Packard - Feedback
UEvora B-On Curriculum DeGois