Schreiber, Philip ; Mittelstedt, Christian (2025)
Lévy-type solutions for the buckling analysis of unsymmetrically laminated plates with rotational restraints for various plate theories.
In: Archive of Applied Mechanics, 2023, 93 (7)
doi: 10.26083/tuprints-00028401
Artikel, Zweitveröffentlichung, Verlagsversion
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Kurzbeschreibung (Abstract)
The stability behaviour of unsymmetrical laminated structures made of fibre-reinforced plastics is significantly influenced by bending–extension coupling and the comparatively low transverse shear stiffnesses. The aim of this work is to improve the analytical stability analysis of unsymmetrically laminated structures. With the discrete plate theory, the stability of laminated structures can be reduced to single laminated plates. The structure is divided into individual segments, and the surrounding structure is modelled by rotational elastic restraints. The governing equations for single plates under specific boundary conditions can be solved exactly with Lévy-type solutions. In this study, Lévy-type solutions for the mentioned boundary conditions under biaxial compressive load is described for the classical laminated plate theory, the first-order shear deformation theory and the third-order shear deformation theory (TSDT). In addition to transverse shear, bending–extension couplings of unsymmetrical cross-ply and antisymmetrical angle-ply laminates are considered. For the implementation of boundary conditions for the rotational restraints in the context of TSDT, a new set of conditions is formulated. The investigation shows very good agreement of the buckling load with comparative finite element analyses for different layups.
| Typ des Eintrags: | Artikel |
|---|---|
| Erschienen: | 2025 |
| Autor(en): | Schreiber, Philip ; Mittelstedt, Christian |
| Art des Eintrags: | Zweitveröffentlichung |
| Titel: | Lévy-type solutions for the buckling analysis of unsymmetrically laminated plates with rotational restraints for various plate theories |
| Sprache: | Englisch |
| Publikationsjahr: | 16 Januar 2025 |
| Ort: | Darmstadt |
| Publikationsdatum der Erstveröffentlichung: | Juli 2023 |
| Ort der Erstveröffentlichung: | Berlin ; Heidelberg |
| Verlag: | Springer |
| Titel der Zeitschrift, Zeitung oder Schriftenreihe: | Archive of Applied Mechanics |
| Jahrgang/Volume einer Zeitschrift: | 93 |
| (Heft-)Nummer: | 7 |
| DOI: | 10.26083/tuprints-00028401 |
| URL / URN: | https://tuprints.ulb.tu-darmstadt.de/28401 |
| Zugehörige Links: | |
| Herkunft: | Zweitveröffentlichung DeepGreen |
| Kurzbeschreibung (Abstract): | The stability behaviour of unsymmetrical laminated structures made of fibre-reinforced plastics is significantly influenced by bending–extension coupling and the comparatively low transverse shear stiffnesses. The aim of this work is to improve the analytical stability analysis of unsymmetrically laminated structures. With the discrete plate theory, the stability of laminated structures can be reduced to single laminated plates. The structure is divided into individual segments, and the surrounding structure is modelled by rotational elastic restraints. The governing equations for single plates under specific boundary conditions can be solved exactly with Lévy-type solutions. In this study, Lévy-type solutions for the mentioned boundary conditions under biaxial compressive load is described for the classical laminated plate theory, the first-order shear deformation theory and the third-order shear deformation theory (TSDT). In addition to transverse shear, bending–extension couplings of unsymmetrical cross-ply and antisymmetrical angle-ply laminates are considered. For the implementation of boundary conditions for the rotational restraints in the context of TSDT, a new set of conditions is formulated. The investigation shows very good agreement of the buckling load with comparative finite element analyses for different layups. |
| Freie Schlagworte: | Buckling, Shear deformations, Lévy-type solution, Unsymmetrical laminated plates |
| Status: | Verlagsversion |
| URN: | urn:nbn:de:tuda-tuprints-284019 |
| Sachgruppe der Dewey Dezimalklassifikatin (DDC): | 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: | 16 Jan 2025 14:15 |
| Letzte Änderung: | 17 Jan 2025 16:09 |
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| Suche nach Titel in: | TUfind oder in Google |
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- Lévy-type solutions for the buckling analysis of unsymmetrically laminated plates with rotational restraints for various plate theories. (deposited 16 Jan 2025 14:15) [Gegenwärtig angezeigt]
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