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Local buckling of laminated composite beams based on different plate theories

Herrmann, J. and Kühn, T. and Müllenstedt, T. and Mittelstedt, S. and Mittelstedt, C. (2017):
Local buckling of laminated composite beams based on different plate theories.
In: PAMM — Proceedings in Applied Mathematics and Mechanics, Wiley, pp. 333-334, 17, (1), ISSN 1617-7061,
DOI: 10.1002/pamm.201710136,
[Article]

Abstract

This paper presents an approximate approach for the local buckling analysis of prismatic composite laminated beams under uniaxial compression wherein the segments of the beams (i.e. flanges and webs) are assumed to be moderately thick so that advanced plate theories that transcend the restrictions of classical laminated plate theory (CLPT) need to be employed. We present a novel approximate analysis method based on the so‐called discrete plate approach during which the segment of interest is separated from the beam and is subjected to rotational restraints at the cutting edges. The analysis itself employs rather simple shape functions for the local buckling modes in conjunction with a Rayleigh‐type approach using the principle of minimum elastic potential of the buckled segment wherein we use the kinematic assumptions of Reddy's third‐order shear deformation theory (TSDT). The results are compared to comparative computations based on CLPT and first‐order shear deformation theory (FSDT), and a good agreement is found especially between FSDT and TSDT which lends credibility to the present approach, however neither employing the strict limitations of CLPT imposed by Kirchhoff's classical kinematic assumptions, nor requiring shear correction factors as they are generally required in the framework of FSDT and which is still a topic of on‐going research.

Item Type: Article
Erschienen: 2017
Creators: Herrmann, J. and Kühn, T. and Müllenstedt, T. and Mittelstedt, S. and Mittelstedt, C.
Title: Local buckling of laminated composite beams based on different plate theories
Language: English
Abstract:

This paper presents an approximate approach for the local buckling analysis of prismatic composite laminated beams under uniaxial compression wherein the segments of the beams (i.e. flanges and webs) are assumed to be moderately thick so that advanced plate theories that transcend the restrictions of classical laminated plate theory (CLPT) need to be employed. We present a novel approximate analysis method based on the so‐called discrete plate approach during which the segment of interest is separated from the beam and is subjected to rotational restraints at the cutting edges. The analysis itself employs rather simple shape functions for the local buckling modes in conjunction with a Rayleigh‐type approach using the principle of minimum elastic potential of the buckled segment wherein we use the kinematic assumptions of Reddy's third‐order shear deformation theory (TSDT). The results are compared to comparative computations based on CLPT and first‐order shear deformation theory (FSDT), and a good agreement is found especially between FSDT and TSDT which lends credibility to the present approach, however neither employing the strict limitations of CLPT imposed by Kirchhoff's classical kinematic assumptions, nor requiring shear correction factors as they are generally required in the framework of FSDT and which is still a topic of on‐going research.

Journal or Publication Title: PAMM — Proceedings in Applied Mathematics and Mechanics
Volume: 17
Number: 1
Place of Publication: Weinheim
Publisher: Wiley
Divisions: 16 Department of Mechanical Engineering
16 Department of Mechanical Engineering > Institute for Lightweight Construction and Design (KluB)
Event Title: PAMM — Proceedings in Applied Mathematics and Mechanics
Event Location: Weinheim
Date Deposited: 12 Jul 2019 06:39
DOI: 10.1002/pamm.201710136
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