Schreiber, Philip ; Mittelstedt, Christian (2024)
Lévy‐type solutions for buckling of shear deformable unsymmetrically laminated plates with rotational restraints.
In: PAMM - Proceedings in Applied Mathematics and Mechanics, 2023, 23 (3)
doi: 10.26083/tuprints-00027209
Artikel, Zweitveröffentlichung, Verlagsversion
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Kurzbeschreibung (Abstract)
The local stability of unsymmetric laminated structures is significantly affected by bending‐extension coupling and the comparatively low transverse shear stiffnesses, which have to be included in the structural analysis. If such structures have flat surfaces in segments, they can be investigated with the discrete plate analysis. In this analysis, the individual segments are considered as plates with rotational restraints that represent the supporting effect of the surrounding structure. The aim of this work is to improve the analytical stability of laminated plates. Therefore, Lévy‐type solutions for the buckling load of the mentioned laminated plates are considered and refined. This offers exact solutions for unsymmetrical cross‐ply laminates as well as antisymmetric angle‐ply laminates. In order to show the influence of shear deformations, the solutions for classical laminated plate theory (CLPT), first‐order shear deformation theory (FSDT), and third‐order shear deformation theory (TSDT) are worked out and compared to each other. In the context of TSDT, a new formulation for the rotational elastic restraint is presented, which affects the rotation and the warping of the plate cross‐section. This investigation presents the influence of shear deformations on different laminates and classifies the benefits of the different laminated plate theories with respect to the stability behaviour under different boundary conditions. In addition, the influence of bending‐extension coupling on different fibre angles and layer sequences is analysed.
| Typ des Eintrags: | Artikel |
|---|---|
| Erschienen: | 2024 |
| Autor(en): | Schreiber, Philip ; Mittelstedt, Christian |
| Art des Eintrags: | Zweitveröffentlichung |
| Titel: | Lévy‐type solutions for buckling of shear deformable unsymmetrically laminated plates with rotational restraints |
| Sprache: | Englisch |
| Publikationsjahr: | 28 Mai 2024 |
| Ort: | Darmstadt |
| Publikationsdatum der Erstveröffentlichung: | November 2023 |
| Ort der Erstveröffentlichung: | Weinheim |
| Verlag: | Wiley-VCH |
| Titel der Zeitschrift, Zeitung oder Schriftenreihe: | PAMM - Proceedings in Applied Mathematics and Mechanics |
| Jahrgang/Volume einer Zeitschrift: | 23 |
| (Heft-)Nummer: | 3 |
| Kollation: | 8 Seiten |
| DOI: | 10.26083/tuprints-00027209 |
| URL / URN: | https://tuprints.ulb.tu-darmstadt.de/27209 |
| Zugehörige Links: | |
| Herkunft: | Zweitveröffentlichung DeepGreen |
| Kurzbeschreibung (Abstract): | The local stability of unsymmetric laminated structures is significantly affected by bending‐extension coupling and the comparatively low transverse shear stiffnesses, which have to be included in the structural analysis. If such structures have flat surfaces in segments, they can be investigated with the discrete plate analysis. In this analysis, the individual segments are considered as plates with rotational restraints that represent the supporting effect of the surrounding structure. The aim of this work is to improve the analytical stability of laminated plates. Therefore, Lévy‐type solutions for the buckling load of the mentioned laminated plates are considered and refined. This offers exact solutions for unsymmetrical cross‐ply laminates as well as antisymmetric angle‐ply laminates. In order to show the influence of shear deformations, the solutions for classical laminated plate theory (CLPT), first‐order shear deformation theory (FSDT), and third‐order shear deformation theory (TSDT) are worked out and compared to each other. In the context of TSDT, a new formulation for the rotational elastic restraint is presented, which affects the rotation and the warping of the plate cross‐section. This investigation presents the influence of shear deformations on different laminates and classifies the benefits of the different laminated plate theories with respect to the stability behaviour under different boundary conditions. In addition, the influence of bending‐extension coupling on different fibre angles and layer sequences is analysed. |
| ID-Nummer: | Artikel-ID: e202300101 |
| Status: | Verlagsversion |
| URN: | urn:nbn:de:tuda-tuprints-272097 |
| Zusätzliche Informationen: | Special Issue: 93rd Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM) |
| Sachgruppe der Dewey Dezimalklassifikatin (DDC): | 500 Naturwissenschaften und Mathematik > 510 Mathematik 600 Technik, Medizin, angewandte Wissenschaften > 620 Ingenieurwissenschaften und Maschinenbau |
| Fachbereich(e)/-gebiet(e): | 16 Fachbereich Maschinenbau 16 Fachbereich Maschinenbau > Institut für Leichtbau und Strukturmechanik (LSM) |
| Hinterlegungsdatum: | 28 Mai 2024 11:55 |
| Letzte Änderung: | 29 Mai 2024 05:35 |
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- Lévy‐type solutions for buckling of shear deformable unsymmetrically laminated plates with rotational restraints. (deposited 28 Mai 2024 11:55) [Gegenwärtig angezeigt]
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