Hostname: page-component-78c5997874-lj6df Total loading time: 0 Render date: 2024-11-02T23:38:10.105Z Has data issue: false hasContentIssue false

Buckling of Thin Films on Substrates: From Straight-Sided Wrinkles to Both Worm-Like and Varicose Structures

Published online by Cambridge University Press:  11 February 2011

M. George
Affiliation:
Dpt of Materials Sciences, LMP-SP2MI, University of Poitiers, FRANCE
F. Cleymand
Affiliation:
Dpt of Materials Sciences, LMP-SP2MI, University of Poitiers, FRANCE
C. Coupeau
Affiliation:
Dpt of Materials Sciences, LMP-SP2MI, University of Poitiers, FRANCE
J. Colin
Affiliation:
Dpt of Materials Sciences, LMP-SP2MI, University of Poitiers, FRANCE
J.W. Grilhé
Affiliation:
Dpt of Materials Sciences, LMP-SP2MI, University of Poitiers, FRANCE
Get access

Abstract

The evolution from straight-sided wrinkles to both worm-like and varicose structures has been investigated mainly by atomic force microscopy. The elastic energy variation related to the formation of these two buckling structures has been computed and discussed. It is shown that both transitions are energetically favourable above a longitudinal (along the initial wrinkle axis) critical stress of few GPa in compression, that is of the order of the internal compressive stresses present in the thin films.

Type
Research Article
Copyright
Copyright © Materials Research Society 2003

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

[1]. Evans, A.G. and Hutchinson, J.W., Int. J. Solids Struct. 20, p. 455 (1984).Google Scholar
[2]. Hutchinson, J.W., Thouless, M.D. and Liniger, E.G., Acta. Metall. Mater. 40, p. 295 (1992).Google Scholar
[3]. Thouless, M.D., J. Am. Ceram. Tech. 76, p. 2936 (1993).Google Scholar
[4]. Hu, M.S., Thouless, M.D. and Evans, A.G, Acta Metall. 36, p. 1301 (1988).Google Scholar
[5]. Wang, J.S. and Evans, A.G, Acta. Mater. 46, p. 4993 (1998).Google Scholar
[6]. Wang, J.S. and Evans, A.G, Acta. Mater. 47, p. 699 (1999).Google Scholar
[7]. Thouless, M.D., Hutchinson, J.W. and Liniger, E.G., Acta. Metall. Mater. 40, p. 2639 (1992).Google Scholar
[8]. Gille, G and Rau, B., Thin Solid Film 120, p. 109 (1984).Google Scholar
[9]. Hutchinson, J.W. and Suo, Z., Adv. Appl. Mech. 29, p. 63 (1991).Google Scholar
[10]. Cleymand, F., Coupeau, C., Colin, J. and Grilhé, J., Eur. Phys. J. Appl. Phys. 10, p. 3 (2000).Google Scholar
[11]. Yu, K., Kim, C. and Sanday, S.C., Thin Solid Films 196, p. 229 (1991).Google Scholar
[12]. Crosby, K.M. and Bradley, R.M., Phys. Rev. E 59, p. 2542 (1999).Google Scholar
[13]. Audoly, B., Phys. Rev. Letters 83, p. 20 (1999).Google Scholar
[14]. Coupeau, C., Naud, J.F., Cleymand, F., Goudeau, P. and Grilhé, J., Thin Solid Films 347, p. 1 (1999).Google Scholar
[15]. Hutchinson, J.W., Thouless, M.D. and Liniger, E.G., Acta Met. Mat. 40, p. 295 (1992).Google Scholar
[16]. Chaï, H., Babcock, CD. and Knauss, W., Int. J. Solids Structures 17, p. 1069 (1981).Google Scholar
[17]. Matuda, N., Baba, S. and Kinbara, A., Thin Solid Films 81, p. 301 (1981).Google Scholar
[18]. Yu, H.H., He, M.Y. and Hutchinson, J.W., Acta Mater. 49, 93 (2001).Google Scholar
[19] Landau, L.D. and Lifshitz, E.M., Théorie de l’élasticité, Moscow Mir (1965).Google Scholar
[20] George, M., Coupeau, C., Colin, J., Cleymand, F. and Grilhé, J., Phil. Mag. A 82, 633 (2002).Google Scholar
[21] Cleymand, F., Colin, J., Coupeau, C. and Grilhé, J., Eur. Phys. J. Appl. Phys. in press.Google Scholar