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Efficient approximate solutions for postbuckling of axially compressed orthotropic plates with rotationally restrained and free longitudinal edges

Beerhorst, Matthias and Seibel, M. and Mittelstedt, Christian (2017) Efficient approximate solutions for postbuckling of axially compressed orthotropic plates with rotationally restrained and free longitudinal edges. Archive of Applied Mechanics. Springer. DOI: 10.1007/s00419-017-1319-9 ISSN 0939-1533

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Official URL: https://link.springer.com/article/10.1007/s00419-017-1319-9

Abstract

This paper presents approximate solutions for the postbuckling behavior of a plate consisting of laminated composites with symmetrical, balanced lay-up loaded in longitudinal compression. The transversal edges of the plate are simply supported, one longitudinal edge is free, the opposite one is rotationally restrained. Key to obtain an explicit and thus highly computational efficient solution is the use of a shape function with only few variables. First, the shape function is inserted into the compatibility condition of in-plane strains to derive a closed-form solution of Airy's stress function. Then, the equilibrium condition is approximated with the Galerkin procedure yielding a load-deflection relationship. Subsequently, other state variables such as in-plane displacements and stresses can be obtained. Overall, results for displacements and strains show very good agreement with detailed nonlinear finite element analyses.

Item URL in elib:https://elib.dlr.de/115171/
Document Type:Article
Title:Efficient approximate solutions for postbuckling of axially compressed orthotropic plates with rotationally restrained and free longitudinal edges
Authors:
AuthorsInstitution or Email of AuthorsAuthors ORCID iD
Beerhorst, Matthiasmatthias.beerhorst (at) dlr.deUNSPECIFIED
Seibel, M.UNSPECIFIEDUNSPECIFIED
Mittelstedt, Christiantu darmstadtUNSPECIFIED
Date:2017
Journal or Publication Title:Archive of Applied Mechanics
Refereed publication:Yes
Open Access:No
Gold Open Access:No
In SCOPUS:Yes
In ISI Web of Science:Yes
DOI :10.1007/s00419-017-1319-9
Publisher:Springer
ISSN:0939-1533
Status:Published
Keywords:Orthotropic plate, Analytic, Postbuckling, Rotationally restrained–free
HGF - Research field:other
HGF - Program:other
HGF - Program Themes:other
DLR - Research area:no assignment
DLR - Program:no assignment
DLR - Research theme (Project):no assignment
Location: Braunschweig
Institutes and Institutions:Institute of Composite Structures and Adaptive Systems > Functional Lightweight Structures
Deposited By: Beerhorst, Matthias
Deposited On:28 May 2018 11:19
Last Modified:18 Jun 2018 07:00

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