Acta Mechanica Slovaca 2014, 18(2):56-62 | DOI: 10.21496/ams.2014.020

The stress state in the three-layer open conical shell during of stability loss

Edward Tertel*, Piotr Kurylo, Wladyslaw Papacz
University of Zielona Góra, Faculty of Mechanical Engineering, Prof. Z. Szafrana 4, 65-516 Zielona Góra

The paper presents an analysis of stress state in a sandwich open conical shells during of stability loss. The shells under consideration consist of lightweight core layer and two face-layers which are load-carrying. The thickness of those faces is assumed to be equal, and the thickness of the core is about 80% of the whole shell thickness. The load carrying faces are made of isotropic, compressible, work-hardening materials. The core layer is assumed to be elastic, incompressible in the normal z direction and it resists transverse shear only. The shell under consideration is loaded by lateral pressure and longitudinal force. Deformation of the shells within the plastic range is possible before buckling. To determine the stress state which occurs during stability loss, the stability equations have to be derived. With respect to the presented research, constitutive relations of the Nadai-Hencky deformation theory, alongside the HMH (Huber-Mises-Hencky) yield condition constitutive relations, are accepted in the analysis.

Keywords: Stress, buckling, sandwich shells, stability, plasticity

Published: October 31, 2014  Show citation

ACS AIP APA ASA Harvard Chicago Chicago Notes IEEE ISO690 MLA NLM Turabian Vancouver
Tertel, E., Kurylo, P., & Papacz, W. (2014). The stress state in the three-layer open conical shell during of stability loss. Acta Mechanica Slovaca, 18(2), 56-62. doi: 10.21496/ams.2014.020
Share...
Download citation
  • BibTeX (.bib)
  • Bookends (.ris)
  • EasyBib (.ris)
  • EndNote (.enw)
  • EndNote 8 (.xml)
  • ISI WoS (.isi)
  • Medlars (.medlars)
  • Mendeley (.ris)
  • MODS (.xml)
  • Papers (.ris)
  • RefWorks (.txt)
  • RefManager (.ris)
  • RIS (.ris)
  • MS Word (.xml)
  • Zotero (.ris)
    • Open full article

    References

    1. Zielnica J (2001). Stability of elastic-plastic shells (in Polish). Poznan Uni. of Tech.
    2. Magnucki K, Ostwald M (2001). Stability and optimization of sandwich structures, (in Polish). -Red. of collective work, Poznan Uni. of Tech - Uni. of Zielona Gora.
    3. Hohe J, Librescu L (2004). Advances in the structural modeling of elastic sandwich panels. Mechanics of Adwanced Materials and Structures, 11:4-5, pp. 395-424. Go to original source...
    4. Vinson J R (2001). Sandwich Structures. Applied Mechanics Reviews, vol. 54, no. 3, pp. 201-214. Go to original source...
    5. Błachut J (2011). On elastic-plastic buckling of cones. Thin Walled Structures, no.49, pp.45-52. Go to original source...
    6. Błachut J, Ifayefunmi O (2010). Plastic buckling of conical shells. Journal of Offshore Mechanics and Arctic Engineering, 132(4), 041401-1 - 041401-11. Go to original source...
    7. Golzan B S, Showkati H (2008). Buckling of thin-walled conical shells under uniform external pressure. Thin-Walled Structures, no. 46, pp. 516-529. Go to original source...
    8. Paczos P, Zielnica J (2007). Critical load of a bilayered orthotropic elastic-plastic conical shell with the change of the shell basic surface location. Thin-Walled Structures, no. 45, pp. 911-915. Go to original source...
    9. Paczos P, Zielnica J (2008). Stability of orthotropic elastic-plastic open conical shells. Thin-Walled Structures, no. 46, pp. 530-540. Go to original source...
    10. Jaskula L, Zielnica J (2011). Large displacement stability analysis of elastic-plastic unsymmetrical sandwich cylindrical shells. Thin Walled Structures, 49, 5, pp.611-617. Go to original source...
    11. Tertel E (2013). Stability of elastic-plastic sandwich conical shells with a change in the thickness of face-layers. Journal of vibroengineering, Vol. 15, pp. 684-692.
    12. Tertel E, Cyganiuk J, Kuryło P (2011). Buckling of elastic-plastic sandwich conical shells - theoretical studies. International Journal of Applied Mechanics and Engineering, Vol. 16, No. 1, pp.129-140.
    13. Zielnica J (2003). Non-linear stability of elastic-plastic conical shell under combined load. Journal of Theoretical and Applied Mechanics, no. 41(3), pp. 693-709.
    14. Trebuna F, Frankovsky P, Bocko J, Pastor M (2011) New posibilities of using PhotoStress method. Acta Mechanica Slovaca, 15(4), pp. 44-51. Go to original source...

    This is an open access article distributed under the terms of the Creative Commons Attribution 4.0 International License (CC BY 4.0), which permits use, distribution, and reproduction in any medium, provided the original publication is properly cited. No use, distribution or reproduction is permitted which does not comply with these terms.


    Return to the content