An individual core structure of a sandwich beam due to the “broken line” theory of the shear effect–three-point bending

• Autorzy: Magnucki Krzysztof , Magnucka-Blandzi Ewa

Identyfikatory

DOI

10.2478/ama-2025-0001

• Języki publikacji: EN

Abstrakty

EN

The work concerns a sandwich beam with an individual core structure giving a shear effect exactly in accordance to the "broken line" theory. According to the general theoretical scheme of a planar cross section deformation, longitudinal displacements, strains and stresses are analytically formulated. Moreover, the unknown deformation function of the core, with consideration of the classical shear stress formula, is analytically derived. Based on the condition regarding the linear deformation function of the core, according to the “broken line” theory, the differential equation is obtained. The solution of this equation is the sought individual core structure. Then, the bending problem of a clamped sandwich beam under three-point bending is studied.

Słowa kluczowe

EN

sandwich beam; individual core structure; broken line theory; bending; shear effect

• Wydawca: Oficyna Wydawnicza Politechniki Białostockiej
• Czasopismo: Acta Mechanica et Automatica
• Rocznik: 2025
• Tom: Vol. 19, no. 1
• Strony: 1--6
• Opis fizyczny: Bibliogr. 21 poz., rys., tab., wykr.

Twórcy

autor

Magnucki Krzysztof

• Łukasiewicz Research Network – Poznan Institute of Technology, Rail Vehicles Center, ul. Warszawska 181, 61-055 Poznan, Poland

• https://orcid.org/0000-0003-2251-4697

autor

Magnucka-Blandzi Ewa

• Institute of Mathematics, Poznan University of Technology, ul. Piotrowo 3a, 60-965 Poznan, Poland

• https://orcid.org/0000-0002-6349-5579

Bibliografia

• 1. Carrera E. Historical review of Zig-Zag theories for multilayered plates and shells. Applied Mechanics Reviews. 2003;56(3):287-308.
• 2. Magnucka-Blandzi E, Magnucki K. Effective design of a sandwich beam with a metal foam core. Thin-Walled Structures. 2007;45(4):432-438.
• 3. Carrera E, Brischetto S. A survey with numerical assessment of classical and refined theories for the analysis of sandwich plates. Applied Mechanics Reviews. 2009;62(1):010803-1-17.
• 4. Demasi L. Partially Zig-Zag advanced higher order shear defor-mation theories based on the generalized unified formulation. Com-posite Structures. 2012;94:363-375.
• 5. Grygorowicz M, Magnucki K, Malinowski M. Elastic buckling of a sandwich beam with variable mechanical properties. Thin-Walled Structures. 2015;87:127-132.
• 6. Sayyad AS, Ghugal YM. Bending, buckling and free vibration of laminated composite and sandwich beams: A critical review of lit-erature. Composite Structures. 2017;171:486-504.
• 7. Kędzia P, Smyczyński MJ. Homogeneity of magnetic field influence on buckling of three layer polyethylene plate. Composite Structures. 2018;183:331-337.
• 8. Paczos P, Wichniarek R, Magnucki K. Three-point bending of the sandwich beam with special structures of the core. Composite Structures. 2018;201:676–682.
• 9. Magnucka-Blandzi E. Bending and buckling of a metal seven-layer beam with crosswise corrugated main core – Comparative analysis with sandwich beam. Composite Structures. 2018;183:35-41.
• 10. Marczak J. On the correctness of results of averaged models of periodic sandwich plates depending on the set of fluctuation shape functions. Composite Structures. 2020;244:112269.
• 11. Magnucki K, Lewinski J, Magnucka-Blandzi E. A shear deformation theory of beams of bisymmetrical cross sections based on the Zhuravsky shear stress formula. Engineering Transactions. 2020;68(4):353-370.
• 12. Icardi U, Urraci A. Considerations about the choice of layerwise and through-thickness global functions of 3-D physically-based zig-zag theories. Composite Structures. 2020;244:112233.
• 13. Sharei A, Safarabadi M, Mashhadi MM, Solut RS, Haghighi-Yazdi M. Experimental and numerical investigation of low velocity impact on hybrid short-fiber reinforced foam core sandwich panel. Journal of Composite Materials. 2021;55(29):4375-4385.
• 14. Montazeri A, Safarabadi M. A comparative study on adding chopped kenaf fibers to the core of glass/epoxy laminates under quasi-static indentation: Experimental and numerical approaches. Journal of Composite Materials. 2022;56(25):3821-3833.
• 15. Magnucki K, Magnucka-Blandzi E, Wittenbeck L. Three models of a sandwich beam: Bending, buckling and free vibration. Engineering Transactions. 2022;70(2):97-122.
• 16. Magnucki K. An individual shear deformation theory of beams with consideration of the Zhuravsky shear stress formula. Current Per-spectives and New Directions in Mechanics, Modelling and Design of Structural Systems – Zingoni (ed.) - Proceedings of the 8th Inter-national Conference on Structural Engineering, Mechanics and Computation, 2022, pp. 682–689.
• 17. Lewandowski R, Litewka P. Nonlinear harmonic vibrations of lami-nate plates with viscoelastic layers using refined zig-zag theory. Part 1–Theoretical background. Composite Structures. 2023;320:117200.
• 18. Montazeri A, Hasani A, Safarabadi M. Bending performance and failure mechanism of 3D-printed hybrid geometry honeycomb with various Poisson’s ratios. Journal of Sandwich Structures & Materi-als. 2023;25(7):709-729.
• 19. Montazeri A, Bahmanpour E, Safarabadi M. Three-point bending behavior of foam-filled conventional and auxetic 3D-printed honey-combs. Advanced Engineering Materials. 2023;25(17):2300273.
• 20. Magnucki K, Magnucka-Blandzi E. A refined shear deformation theory of an asymmetric sandwich beam with porous core: Linear bending problem. Applied Mathematical Modeling. 2023;124:624-638.
• 21. Magnucki K, Kustosz J, Goliwąs D. Effective shaping of a stepped sandwich beam with clamped ends. Acta Mechanica et Automatica. 2023;17(2):200-204.