Global and Local Buckling of a Sandwich Beam
Publication: Journal of Engineering Mechanics
Volume 133, Issue 2
Abstract
A two-dimensional mechanical model is developed to predict the global and local buckling of a sandwich beam, using classical elasticity. The face sheet and the core are assumed as linear elastic isotropic continua in a state of planar deformation. The core is assumed to have two deformation modes: antisymmetrical and symmetrical with respect to the core geometric midplane. Characteristics of the two deformation modes and the corresponding buckling behavior are shown and it appears that they are identical when the buckling wavelength is short. The present analysis is compared with various previous analytical studies and corresponding experimental results. On the basis of the model developed here, validation and accuracy of several previous theories are discussed for different geometric and material properties of a sandwich beam. The results presented in this paper, verified through finite-element analysis and experiment, are an accurate prediction of the overall buckling behavior of a sandwich beam, for a wide range of material and geometric parameters.
Get full access to this article
View all available purchase options and get full access to this article.
References
Allen, H. G. (1969). Analysis and design of structural sandwich panels, Pergamon, Oxford, U.K.
Bažant, Z. P., and Beghini, A. (2004). “Sandwich buckling formulas and applicability of standard computational algorithm for finite strain.” Composites, Part B, 35B(6–8), 573–581.
Beghini, A., Bažant, Z. P., Waas, A. M., and Basu, S. (2006). “Postcritical imperfection sensitivity of sandwich or homogenized orthotropic columns soft in shear and in transverse deformation.” Int. J. Solids Struct., 43(18–19), 5501–5524.
Biezeno, C. B., and Hencky, H. (1929). “General theory of elastic stability.” Proc., Koninklijke Akademie van Wetenschappen te Amsterdam, Amsterdam, The Netherlands, 444–456.
Biot, M. (1939). “Nonlinear theory of elasticity and linearised case for a body under initial stress.” Philos. Mag., 27, 468–489.
Fagerberg, L. (2004). “Wrinkling and compression failure transition in sandwich panels.” J. Sandwich Structures and Materials, 6(2), 129–144.
Fleck, N. A., and Sridhar, I. (2002). “End compression of sandwich columns.” Composites, Part A, 33(3), 353–359.
Frostig, Y., and Baruch, M. (1993). “High-order buckling analysis of sandwich beams with transversely flexible core.” J. Eng. Mech., 119(3), 476–495.
Kardomateas, G. A. (2005). “Wrinkling of wide sandwich panels/beams with orthotropic phases by an elastic approach.” J. Appl. Mech., 72(6), 818–825.
Léotoing, L., Drapier, S., and Vautrin, A. (2002). “First applications of a novel unified model for global and local buckling of sandwich columns.” Eur. J. Mech. A/Solids, 21(4), 683–701.
Léotoing, L., Drapier, S., and Vautrin, A. (2004). “Using new closed-form solutions to set up design rules and numerical investigations for global and local buckling of sandwich beams.” J. Sandwich Structures and Materials, 6(3), 263–289.
Ley, R. P., Lin, W., and Mbanefo, U. (1999). “Facesheet wrinkling in sandwich structures.” Rep. No. NASA CR-1999-208994, NASA, Washington, D.C.
Niu, K., and Talreja, R. (1999). “Modeling of wrinkling in sandwich panels under compression.” J. Eng. Mech., 125(8), 875–883.
Novozhilov, V. V. (1953). Foundations of the nonlinear theory of elasticity, Graylock, Rochester, N.Y.
Plantema, F. J. (1966). Sandwich construction: The bending and buckling of sandwich beams, plates, and shells, Wiley, New York.
Rosen, B. W. (1965). “Mechanics of composite strengthening.” Fiber Composite Materials: American Society of Metals, 37–75.
Schultheisz, C. R., and Waas, A. M. (1996). “Compressive failure of composites. Part I: Testing and micromechanical theories.” Prog. Aerosp. Sci., 32(1), 1–42.
Waas, A. M. (1992). “Effect of interphase on compressive strength of unidirectional composites.” J. Appl. Mech., 59(2), S183–S188.
Waas, A. M., Babcock, C. D., Jr., and Knauss, W. G. (1990). “A mechanical model for elastic fiber microbuckling.” J. Appl. Mech., 57(1), 138–149.
Zenkert, D. (1995). Introduction to sandwich construction, Engineering Materials Advisory Services, London.
Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 133 • Issue 2 • February 2007
Pages: 230 - 237
Copyright
© 2007 ASCE.
History
Received: Jan 12, 2006
Accepted: Apr 24, 2006
Published online: Feb 1, 2007
Published in print: Feb 2007
Notes
Note. Associate Editor: Khaled W. Shahwan
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.