Modeling of Wrinkling in Sandwich Panels under Compression
Publication: Journal of Engineering Mechanics
Volume 125, Issue 8
Abstract
A wrinkling model for sandwich panels in compression is developed with the assumption of a continuous isotropic linear elastic core. Wrinkling stresses for the three modes, defined in a well-known book by H. G. Allen, are expressed by a unified, single expression. The expression depends linearly on a case parameter η, defined to specify the three cases of wrinkling: η = 0 for single-sided face wrinkling (case 1), η = 1 for in-phase wrinkling (case 2), and η = −1 for out-of-phase wrinkling (case 3). It is shown that the stresses in all three cases are almost identical for short wavelength wrinkling and can be expressed by a single simplified analytical expression; however, they may differ significantly in moderate and long wavelength wrinkling, and for these cases they are given by simplified analytical expressions. It is proved that the in-phase wrinkling stress is the lowest among the three cases. Based on the analysis conducted, limitations of the commonly used Winkler and two-parameter models are discussed. Finally, engineering design procedures are recommended for the wrinkling effect in sandwich panels under compression.
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References
1.
Allen, H. G. (1969). Analysis and design of structural sandwich panels. Pergamon, Tarrytown, N.Y.
2.
Bushnell, D. (1997). “Optimum design via PANDA2 of composite sandwich panels with honeycomb or foam cores.” Rep. AIAA-97-1142, American Institute of Aeronautics and Astronautics, Washington, D.C.
3.
Chung, W. Y., and Testa, R. B. (1968). “The elastic stability of fiber in a composite plate.” J. Compos. Mat., 3, 58–80.
4.
Cox, H. L. (1945). “Sandwich construction and core materials. Part III: Instability of sandwich struts and beams.” Tech. Rep. R. & M. No. 2125, Aeronautical Research Committee.
5.
Davies, J. M. (1997). “Design criteria for sandwich panels for building construction.” Analysis and design issues for modern aerospace vehicles: Volume 55, Proc., ASME Aerosp. Div., American Society of Mechanical Engineers, New York, 273–284.
6.
Farshad, M. (1994). Stability of structures. Elsevier, Amsterdam.
7.
Frostig, Y. (1998). “Buckling of sandwich panels with a flexible core—High-order theory.” Int. J. Solids and Struct., 35, 183–204.
8.
Goodier, J. N. (1946). “Cylindrical buckling of sandwich plates.” J. Appl. Mech., 13, A253–A260.
9.
Goodier, J. N., and Hsu, C. S. (1954). “Nonsinusoidal buckling modes of sandwich plates.” J. Aeronautical Sci., 21, 525–532.
10.
Goodier, J. N., and Neou, I. M. (1951). “The evaluation of theoretical critical compression in sandwich plates.” J. Aeronautical Sci., 18, 649–657.
11.
Gough, G. S., Elam, C. F., and De Bruyne, N. D. (1940). “The stabilization of a thin sheet by a continuous supporting medium.” J. Royal Aeronautical Soc., 44, 12–43.
12.
Habip, L. M. (1965). “A survey of modern developments in the analysis of sandwich structures.” Appl. Mech. Rev., 18, 93–98.
13.
Heath, W. G. (1960). “Sandwich construction. Part I: The strength of flat sandwich panels.” Aircraft Engrg., 32, 186–191.
14.
Hegedus, I., and Kollar, L. P. (1989). “Wrinkling of faces of compressed and bent sandwich bars and its interaction with overall instability.” Acta Technica, Budapest, 102, 49–63.
15.
Hetenyi, M. (1946). Beams on elastic foundation. The University of Michigan Press, Ann Arbor.
16.
Hoff, N. J., and Mautner, S. E. (1945). “The buckling of sandwich type panels.” J. Aeronautical Sci., 12, 285–297.
17.
Hunt, G. W. (1986). “Hidden (a)symmetries of elastic and plastic bifurcation.” Appl. Mech. Rev., 39, 1165–1186.
18.
Hunt, G. W., and da Silva, L. S. (1990a). “Interactive bending behavior of sandwich beams.” J. Appl. Mech., 57, 189–196.
19.
Hunt, G. W., and da Silva, L. S. (1990b). “Interactive buckling in sandwich structures with core orthotropy.” Mech. of Struct. and Machines, 18, 353–372.
20.
Hunt, G. W., da Silva, L. S., and Manzocchi, G. M. E. (1988). “Interactive buckling in sandwich structures.” Proc., Royal Soc. of London, 417A, 155–177.
21.
Kassapoglou, C., Fantle, S. C., and Chou, J. C. (1995). “Wrinkling of composite sandwich structures under compression.” J. Compos. Technol. & Res., 17, 308–316.
22.
Kerr, A. D. (1964). “Elastic and viscoelstic foundation models.” J. Appl. Mech., 31, 491–498.
23.
Lagoudas, D. C., Tadjbakhsh, I., and Fares, N. (1991). “A new approach to microbuckling of fibrous composites.” J. Appl. Mech., 58, 473–479.
24.
Meyer-Piening, H. R. (1997). “A refined theory for the analysis of sandwich beams and its application to local and global stability investigations.” Analysis and design issues for modern aerospace vehicles: Volume 55. Proc., ASME Aerosp. Div., American Society of Mechanical Engineers, New York, 379–386.
25.
Niu, K. ( 1998). “Compressive behavior of sandwich panels and laminates with damage,” PhD dissertation, Georgia Institute of Technology, Atlanta.
26.
Noor, A. K., Burton, W. S., and Bert, C. W. (1996). “Computational models for sandwich panels and shells.” Appl. Mech. Rev., 49, 155–199.
27.
“Part 2: Materials, properties and design criteria—Sandwich construction for aircraft.” (1988). Military handbook 23. Superintendent of Documents, U.S. Government Printing Office, Washington, D.C.
28.
Plantema, F. J. (1966). Sandwich construction. Wiley, New York.
29.
“Preliminary European recommendations for sandwich panels. Part 1: Design.” (1991). European Convention for Constructional Steelwork, Brussels.
30.
“Preliminary European recommendations for sandwich panels with additional recommendations for panels with mineral wool core materials. Part 1: Design.” (1992). CIB Publ. No. 148, Conseil International de Batiment pour la Recherche, l'Etude et la Documentation.
31.
Rosen, V. W. ( 1965). “Mechanics of composite strengthening.” Fiber composite materials. American Society for Metals, Cleveland, 37–75.
32.
Simitses, G. J. (1976). An introduction to the elastic stability of structures. Prentice-Hall, Englewood Cliffs, N.J.
33.
Steif, P. S. (1987). “An exact two-dimensional approach to fiber micro-buckling.” Int. J. Solids and Struct., 23, 1235–1246.
34.
Timoshenko, S. P., and Goodier, J. N. (1970). Theory of elasticity. McGraw-Hill, New York.
35.
Vinson, J. R. (1997). “On the optimization of composite cylindrical sandwich shells subjected to beam type bending.” Analysis and design issues for modern aerospace vehicles: Volume 55. Proc., ASME Aerosp. Div., American Society of Mechanical Engineers, New York, 387–399.
36.
Waas, A. M. (1992). “Effect of interphase on compressive strength of unidirectional composites.” J. Appl. Mech., 59, 183–188.
37.
Waas, A. M., Babcock, C. D. Jr., and Knauss, W. G. (1990). “A mechanical model for elastic fiber microbuckling.” J. Appl. Mech., 57, 138–149.
38.
Williams, D., Leggett, D. M. A., and Hopkins, H. G. (1941). “Flat sandwich panels under compressive end loads.” Tech. Rep. R. & M. No. 1987, Aeronautical Research Committee.
39.
Williams, T. O., and Cairns, D. S. (1994). “A model for the compressive failure of composite materials.” J. Compos. Mat., 28, 92–111.
40.
Zenkert, D. (1995). An introduction to sandwich construction. The Chameleon Press, London.
41.
Zhang, G., and Latour, R. A. Jr. (1994). “An analytical and numerical study of fiber microbuckling.” Compos. Sci. and Technol., 51, 95–109.
Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 125 • Issue 8 • August 1999
Pages: 875 - 883
History
Received: Aug 11, 1998
Published online: Aug 1, 1999
Published in print: Aug 1999
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