Summary
This contribution presents a refined analytical solution for the wrinkling of sandwich plates with isotropic face layers and thick orthotropic cores, taking into accountin-plane deformations of the core. A single explicit equation for the critical wrinkling load in an asymptotic sense in derived. The results have been verified extensively by a numerical model [1] and show that, when dealing with highly orthotropic cores (e.g., honeycombs), the wrinkling loads and deformation patterns can strongly depend on the in-plane stiffness of the core. This new theoretical finding which is of considerable practical importance is the main motivation for this paper. Classical wrinkling formulae [2], [3], [4] can lead to significant errors when used in connection with highly orthotropic cores.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
Starlinger, A., Rammerstorfer, F. G.: A finite element formulation for sandwich shells accounting for local failure phenomena. In: Sandwich Constructions 2 (Weissman-Berman, D., Olsson, K.-A. eds.), pp. 161–178. EMAS (3, 1992).
Plantema, F. J.: Sandwich Construction. New York: Wiley 1966.
Zenkert, D.: An Introduction to Sandwich Construction. Solihull, UK: EMAS 1995.
Wiedemann, J.: leichtbau. Berlin: Springer 1986.
Gough, E., Bruyne, D.: The instability of a thin sheet by supporting medium. J. R. Aeronaut. Soc.44, 12–43 (1, 1940).
Hoff, N. J., Mautner, S. E.: The buckling of sandwich type panels. J. Aeronaut. Sci.12, 285–297 (6, 1945).
Yusuff, S.: Theory of wrinkling in sandwich construction. J. R. Aeronaut. Soc.59, 30–36 (1, 1955)
Gutierrez, A. J., Webber, J. P. H.: Flexural wrinkling of honeycomb sandwich beams with laminated faces. Int. J. Sol. Struct.16, 645–651 (1980).
Hwang, S. F.: The buckling of an orthotropic layer on a half space. Int. J. Mech. Sci.40, 711–721 (7, 1998).
Benson, A. S., Mayers, J.: General instability and face wrinkling of sandwich plates — unified theory and applications. AIAA Journal5, 729–739 (4, 1967).
Stiftinger, M. A., Rammerstorfer, F. G.: On face layer wrinkling in sandwich shells — theoretical and experimental investigations. Thin-Walled Structures29, 113–127 (1997).
Wadee, M. A., Hunt, G. W.: Interactively induced localized buckling in sandwich structures with core orthotropy. J. Appl. Mech.65, 523–528 (6, 1998).
Hegedüs, I., Kollàr, L. P.: Wrinkling of faces of compressed and bent sandwich bars and its interaction with overall instability. Acta Tech. Acad. Sci. Hung.102, 49–63 (1989).
Allen, H. G.: Analysis and Design of Structural Sandwich Panels, Oxford: Pergamon Press 1969.
Gibson, L. J., Ashby, M. F.: Cellular Solids—Structure and properties. 2nd edn. Cambridge: Cambridge University Press 1997.
Stronge, W. J., Kashtalyan, M.: Saint-Venant's principle for two-dimensional anisotropic elasticity. Acta Mech.124, 213–218 (1997).
Rammerstorfer, F. G.: Repetitorium Leichtbau. Wien: Oldenbourg 1992.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Vonach, W.K., Rammerstorfer, F.G. The effects of in-plane core stiffness on the wrinkling behavior of thick sandwiches. Acta Mechanica 141, 1–10 (2000). https://doi.org/10.1007/BF01176803
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01176803