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Rotation-Free Bernstein-Bézier Elements for Thin Plates and Shells - Development and Validation

Ludwig, Thomas and Hühne, Christian and De Lorenzis, Laura (2019) Rotation-Free Bernstein-Bézier Elements for Thin Plates and Shells - Development and Validation. Computer Methods in Applied Mechanics and Engineering, 348, pp. 500-534. Elsevier. doi: 10.1016/j.cma.2019.01.039. ISBN ISSN: 0045-7825. ISSN 0045-7825.

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Official URL: https://www.journals.elsevier.com/computer-methods-in-applied-mechanics-and-engineering

Abstract

A new finite element procedure for thin plates and shells is presented. It combines a geometrically non-linear, rotation-free Kirchhoff–Love formulation with triangular and quadrilateral Bernstein–Bézier elements and C1 and G1 inter-element continuity conditions, as well as boundary conditions for clamping and for symmetry. The formulation is free from transverse-shear locking and relies on a high polynomial degree to mitigate membrane locking. Bernstein–Bézier elements are, as opposed to NURBS, suitable for arbitrary triangulations. Unlike with Hermite elements, no stress concentrations occur if the boundary is partially clamped and the formulation can be potentially extended to stiffened plates and shells and to step-wise changes of thickness and material properties. The convergence behaviour is demonstrated and the computational efficiency is compared with that of C° Reissner–Mindlin elements on several numerical examples.

Item URL in elib:https://elib.dlr.de/126644/
Document Type:Article
Title:Rotation-Free Bernstein-Bézier Elements for Thin Plates and Shells - Development and Validation
Authors:
AuthorsInstitution or Email of AuthorsAuthor's ORCID iD
Ludwig, Thomastludwig (at) smr.chUNSPECIFIED
Hühne, Christianchristian.huehne (at) tu-braunschweig.dehttps://orcid.org/0000-0002-2218-1223
De Lorenzis, Laural.delorenzis (at) tu-braunschweig.deUNSPECIFIED
Date:1 May 2019
Journal or Publication Title:Computer Methods in Applied Mechanics and Engineering
Refereed publication:Yes
Open Access:No
Gold Open Access:No
In SCOPUS:Yes
In ISI Web of Science:Yes
Volume:348
DOI :10.1016/j.cma.2019.01.039
Page Range:pp. 500-534
Editors:
EditorsEmailEditor's ORCID iD
Hughes, Thomas J.R.UNSPECIFIEDUNSPECIFIED
Oden, J. TinsleyUNSPECIFIEDUNSPECIFIED
Papadrakakis, ManolisUNSPECIFIEDUNSPECIFIED
Publisher:Elsevier
Series Name:Elsevier Engineering
ISSN:0045-7825
ISBN:ISSN: 0045-7825
Status:Published
Keywords:Rotation-free Kirchhoff–Love; Bernstein–Bézier; Triangular Bézier splines; C1; G1
HGF - Research field:Aeronautics, Space and Transport
HGF - Program:Space
HGF - Program Themes:Space Transportation
DLR - Research area:Raumfahrt
DLR - Program:R RP - Space Transportation
DLR - Research theme (Project):R - VLM für Shefex (old)
Location: Braunschweig
Institutes and Institutions:Institute of Composite Structures and Adaptive Systems > Functional Lightweight Structures
Deposited By: Hühne, Prof. Dr. Christian
Deposited On:08 Jul 2019 15:48
Last Modified:06 Sep 2019 15:24

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