Wrinkling in sandwich panels – an analytical approach *

Abstract

This article deals with theoretical modeling of the local buckling in foam–core sandwich panels. This phenomenon is considered mainly in the periodic (unbounded wrinkle wave) and linearly elastic formulation. The analytical solutions are in agreement with results of finite element analysis and can be applied with a good precision for many finite-size panels, as well as for many sandwiches having honeycomb cores.

Keywords

Local buckling modeling sandwich structure wrinkling

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References

Gough

Elam

de Bruyne

. The stabilization of a thin sheet by a continuous supporting medium. J Roy AeronautSoc 1940; 44: 12–43.

Williams

. Flat sandwich panels under compressive end loads. Aeronautical Research Committee Repots and Memoranda, No.1987, 1941.

Hoff

Mautner

. Buckling of sandwich type panels. J Aeronaut Sci 1945; 12(3): 285–297.

Allen

. Analysis and design of structural sandwich panels. Oxford: Pergamon Press, 1969.

Gutierrez

Webber

JPH

. Flexural wrinkling of honeycomb sandwich beams with laminated faces. Int J Solids Struct 1980; 16: 645–651.

Hussein

Fazio

. Analytical evaluations of local failures in sandwich panels. Build Environ 1991; 26(2): 209–215.

Gdoutos

Daniel

Wang

K-A

. Compression facing wrinkling of composite sandwich structures. Mech Mater 2003; 35: 511–522.

Birman

. Dynamic wrinkling in sandwich beams. Composites Part B 2004; 35: 665–672.

Frostig

Simitses

. Similitude of sandwich panels with a ‘soft’ core in buckling. Composites Part B 2004; 35: 599–608.

10.

Grenestedt

Danielsson

. Elastic-plastic wrinkling of sandwich panels with layered cores. J Appl Mech 2005; 72: 276–281.

11.

Kardomateas

. Wrinkling of wide sandwich panels/beams with orthotropic phases by an elasticity approach. J Appl Mech 2005; 72: 818–825.

12.

Pei Gu Asaro

. Wrinkling of sandwich polymer matrix composite panels under transverse thermal gradients. Fire Safety Journal 2008; 43: 151–160.

13.

. Static and dynamic response of a sandwich structure under axial compression, PhD Thesis, The University of Michigan, 2008.

14.

Coman

. On interactive buckling in a sandwich structure. Z Angew Math Phys 2010; 61: 565–577.

15.

Plantema

. Sandwich construction. New York: John Wiley & Sons, Inc., 1966.

16.

Sullins RT, Smith GW and Spier EE. Manual for structural stability analysis of sandwich plates and shells. NASA CR-1969-1457, 1969.

17.

Stiftinger

Rammerstorfer

. Face layer wrinkling in sandwich shells – theoretical and experimental investigations. Thin-Wall Struct 1997; 29(1–4): 113–127.

18.

Hwang

S-F

. The buckling of an orthotropic layer on a half-space. Int J Mech Sci 1998; 40(7): 711–721.

19.

Vonach

Rammerstorfer

. Wrinkling of thick orthotropic sandwich plates under general loading conditions. Arch Appl Mech 2000; 70: 338–348.

20.

Vonach

Rammerstorfer

. The effects of in-plane core stiffness on the wrinkling behavior of thick sandwiches. Acta Mech 2000; 141: 1–10.

21.

Birman

Bert

. Wrinkling of composite-facing sandwich panels under biaxial loading. J Sandwich Struct Mater 2004; 6: 217–237.

22.

Fagerberg

Zenkert

. Effects of anisotropy and multiaxial loading on the wrinkling of sandwich panels. J Sandwich Struct Mater 2005; 7: 177–194.

23.

Skvortsov

Thomsen

. Local instability of shallow sandwich shells for the general case of orthotropy, curvature and loading. Compos Struct 2005; 70: 343–355.

24.

Artyukhin

YuP

Velikanov

. Fundamental solution for the bending of orthotropic plate resting on the elastic winkler-type foundation. In: Proceedings of the 3rd All-Russian Scientific Conference, Samara, 29–31 May, [in Russian], 2006.

25.

Meyer-Piening

H-R

. Sandwich plates: stresses, deflection, buckling and wrinkling loads – a case study. J Sandw Struct Mater 2006; 8: 381–394.

26.

Lopatin

Morozov

. Symmetrical facing wrinkling of composite sandwich panels. J Sandw Struct Mater 2008; 10: 475–497.

27.

Ley RP, Lin W and Mbanefo U. Facesheet wrinkling in sandwich structures. NASA/CR-1999-208994, 1999.

28.

Hetényi

. Beams on elastic foundation. Ann Arbor: University of Michigan Press, 1946.

29.

Koissin

Shipsha

Skvortsov

. Compression strength of sandwich panels with sub-interface damage in the foam core. Compos Sci Technol 2009; 69: 2231–2240.

30.

Biot

. Bending of an infinite plate on an elastic foundation. J Appl Mech 1937; 4(1): A1–7.

31.

Pasternak

. Fundamentals of a new method for analysis of structures on elastic foundation described by two foundation moduli. Moscow-Leningrad: Stroiizdat, 1954 [in Russian].

32.

Il'gamov

Ivanov

Gulin

. Calculation of shells with an elastic filler. Moscow: Nauka, 1987 [in Russian].

33.

Allen

. Analysis and design of structural sandwich panels. Oxford: Pergamon Press, 1969.

34.

Koissin

Shipsha

Skvortsov

. Effect of physical non-linearity on local buckling in sandwich beams. J Sandw Struct Mater 2010; 12(4): 477–494.

35.

Huang

Hong

Suo

. Nonlinear analyses of wrinkles in a film bonded to a compliant substrate. J Mech Phys Solids 2005; 53: 2101–2118.

36.

Lekhnitskii

. Theory of elasticity of an anisotropic body. Moscow: Nauka, 1977 [in Russian].

37.

Skvortsov

. Exact analysis of sandwich plates bending based on elasticity theory and the technique of integral transformations”. In: Proceedings of 5th International Conference on Mechanics of Sandwich Structures, Zurich, September 5–7, 2000.

38.

Niu

Talreja

. Modeling of wrinkling in sandwich panels under compression. J Eng Mech 1999; 125(8): 875–883.