Structural Engineering and Mechanics

  • 제12권4호
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  • Pages.363-376
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  • 2001
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  • 1225-4568(pISSN)
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  • 1598-6217(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

A General approach to the wrinkling instability of sandwich plates

  • Vonach, Walter K. (Institute of Lightweight Structures and Aerospace Engineering, Vienna University of Technology) ;
  • Rammerstorfer, Franz G. (Institute of Lightweight Structures and Aerospace Engineering, Vienna University of Technology)
  • 발행 : 2001.10.25
⟨ 이전 논문 다음 논문 ⟩

초록

Sandwich plates are widely used in lightweight design due to their high strength and stiffness to weight ratio. Due to the heterogeneous structure of sandwich plates, they can exhibit local instabilities (wrinkling), which lead to a sudden loss of stiffness in the structure. This paper presents an analytical solution to the wrinkling problem of sandwich plates. The solution is based on the Rayleigh-Ritz method, by assuming an appropriate deformation field. In contrast to the other approaches up to now, this model takes arbitrary and different orthotropic face layers, finite core thickness and orthotropic core material into account. This approach is the first to cover the wrinkling of unsymmetric sandwiches and sandwiches composed of orthotropic FRP face layers, which are most common in advanced lightweight design. Despite the generality of the solution, the computational effort is kept within bounds. The results have been verified using other analytical solutions and unit cell 3D FE calculations.

키워드

참고문헌

  1. Allen, H.C. (1969), Analysis and Design of Structural Sandwich Panels, Pergamon Press, Oxford.
  2. Boender C.G.E., Rinnoy Kan, A.H.G. et al. (1982), "A stochastic method for global optimization", Mathematical Programming, 22, 125-140. https://doi.org/10.1007/BF01581033
  3. Csendes, T. (1988), "Nonlinear parameter estimation by global optimization", Acta Cybernetica, 8, 361-370.
  4. Gough, G.S., and Elam, C.F. et al. (1940), "The stabilisation of a thin sheet by a continuous supporting medium", J.R. Aeronaut. Soc., 44(349), 12-43. https://doi.org/10.1017/S036839310010495X
  5. Gutierrez, A.J., and Webber, J.P.H. (1980), "Flexural wrinkling of honeycomb sandwich beams with laminated faces", Int. J. Sol. Struct., 16, 645-651. https://doi.org/10.1016/0020-7683(80)90023-2
  6. Hoff, N.J., and Mautner, S.E. (1945), "The buckling of sandwich type panels", J. Aeronaut. Sci., 12(3), 285-297. https://doi.org/10.2514/8.11246
  7. Hwang, S.F. (1998), "The buckling of an orthotropic layer on a half space", Int. J. Mech. Sci., 40(7), 711-721. https://doi.org/10.1016/S0020-7403(97)00122-7
  8. Martikainen, L., and Hassinen, P. (1996), "Load-bearing capacity of continuous sandwich panels", Dept. of Structural Engineering, Report 135, Helsinki University of Technology.
  9. Plantema, F.J. (1966), Sandwich Construction, John Wiley & Sons, New York.
  10. Stamm, K., and Witte, H. (1974), Sandwichkonstruktionen-Berechnung, Fertigung, Ausführung., Springer-Verlag, Wien.
  11. Starlinger, A., and Rammerstorfer, F.G. (1992), "A finite element formulation for sandwich shells accounting for local failure phenomena". Proc. of Sandwich Constructions, EMAS, 2, 161-178.
  12. Stiftinger, M.A., and Rammerstorfer, F.G. (1997), "On face layer winkling in sandwich shells-theoretical and experimental investigations", Thin-Walled Structures, 29(1-4), 113-127. https://doi.org/10.1016/S0263-8231(97)00018-9
  13. Timoshenko, S.P., and Goodier, J.N. (1988), Theory of Elasticity, McGraw-Hill, Singapore.
  14. Vonach, W.K. (2001), "A general solution to the wrinkling problem of sandwiches", PhD thesis, Vienna University of Technology, Vienna, Austria.
  15. Vonach, W.K., and Rammerstorfer, F.G. (1998), "Effects of in-plane stiffiness on the wrinkling load of sandwich constructions", Proc. of Sandwich Constructions, EMAS, 4, 1, 155-166.
  16. Vonach, W.K., and Rammerstorfer, F.G. (1999), "An efficient general solution for the wrinkling load of thick sandwich shells", Proc. 1st Int. Conf. Advances in Struct. Eng. and Mech., 1, Techno-Press, Korea, 439-444.
  17. Vonach, W.K., and Rammerstorfer, F.G. (2000), "Wrinkling of thick orthotropic sandwich plates under general loading conditions", Arch. Appl. Mech., 70, 338-348. https://doi.org/10.1007/s004199900065
  18. Vonach, W.K., and Rammerstorfer, F.G. (2001), "Unit cell modelling of wrinkling phenomena in general sandwiches", to be submitted.
  19. Yusuff, S. (1995), "Theory of wrinkling in sandwich construction", J.R. Aeronaut. Soc., 59(529), 30-36.
  20. Zenkert, D. (1995), An Introduction to Sandwich Construction, EMAS. Solihull, UK.

피인용 문헌

  1. Core and Face-Sheet Anisotropy in Deformation and Buckling of Sandwich Panels vol.42, pp.1, 2004, https://doi.org/10.2514/1.1203
  2. An analytical study on post-buckling behaviour of imperfect sandwich panels subjected to uniform thermal stresses vol.44, pp.3, 2006, https://doi.org/10.1016/j.tws.2006.03.001
  3. Symmetrical Facing Wrinkling of Composite Sandwich Panels vol.10, pp.6, 2008, https://doi.org/10.1177/1099636208097196
  4. Stability of rod-shaped nanoparticles embedded in an elastic matrix vol.90, pp.15, 2010, https://doi.org/10.1080/14786430903520740
  5. Thickness flexible sandwich theory for the common description of global and local effects vol.41, pp.18-19, 2004, https://doi.org/10.1016/j.ijsolstr.2004.04.004
  6. Biaxial wrinkling analysis of composite-faced sandwich plates with soft core using improved high-order theory vol.43, 2014, https://doi.org/10.1016/j.euromechsol.2013.08.002
  7. Finite element linear and nonlinear, static and dynamic analysis of structural elements, an addendum vol.19, pp.5, 2002, https://doi.org/10.1108/02644400210435843
  8. Dynamic wrinkling in sandwich beams vol.35, pp.6-8, 2004, https://doi.org/10.1016/j.compositesb.2003.08.012
  9. Shear buckling of sandwich plates – Incompressible and compressible cores vol.96, 2016, https://doi.org/10.1016/j.compositesb.2016.04.037
  10. Thermally induced bending and wrinkling in large aspect ratio sandwich panels vol.36, pp.10, 2005, https://doi.org/10.1016/j.compositesa.2004.11.013
  11. Compressive deformation of lamellar microstructures – a short review vol.98, pp.11, 2007, https://doi.org/10.3139/146.101565
  12. Wrinkling of Composite-facing Sandwich Panels Under Biaxial Loading vol.6, pp.3, 2004, https://doi.org/10.1177/1099636204033643
  13. Thermomechanical Wrinkling in Composite Sandwich Structures vol.42, pp.7, 2004, https://doi.org/10.2514/1.5913
  14. Wrinkling in Sandwich Structures With a Functionally Graded Core vol.84, pp.2, 2016, https://doi.org/10.1115/1.4034990
  15. Wrinkling of Functionally Graded Sandwich Structures Subject to Biaxial and In-Plane Shear Loads vol.84, pp.12, 2017, https://doi.org/10.1115/1.4038141
  16. Buckling in Thin Walled Micro and Meso Structures of Lightweight Materials and Material Compounds vol.37, pp.6, 2001, https://doi.org/10.1007/s00466-005-0731-0
  17. Analytical and Computational Models for Investigations of Local Buckling in Honeycomb Sandwiches vol.539, pp.None, 2001, https://doi.org/10.4028/www.scientific.net/msf.539-543.2467
  18. Wrinkling of a homogeneous thin solid film deposited on a functionally graded substrate vol.74, pp.2, 2020, https://doi.org/10.12989/sem.2020.74.2.215