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.
Similar content being viewed by others
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