Dynamic buckling delamination of a bonded thin film under residual compression

  • Y. J. Lee
  • L. B. Freund
Conference paper
Part of the Acta Mechanica book series (ACTA MECH.SUPP., volume 3)


A thin solid film or coating bonded to a solid substrate may be in a state of residual stress due to mismatch in thermal expansion coefficient between the film and the substrate or other effects. If the residual stress is compressive, the tendency for film buckling is suppressed by the relatively high stiffness of the substrate. However, at a flaw in the interfacial bonding between the film and substrate, buckling of the film can and does occur. The focus here is on the process of delamination buckling under these circumstances, including dynamic effects. For an interfacial defect of a certain size, the compressive force in the film may exceed the buckling load, in which case the buckling process is inherently dynamic. Both cases of plane strain and axially symmetric deformation are considered, and propagation of the buckle is permitted provided that an energy balance separation condition is satisfied. Post-bifurcation response of the film is described by means of the von Karman plate theory. Hamilton’s principle is applied to obtain an approximate representation of the deformation in terms of two generalized coordinates, namely, the midpoint deflection of the buckled region and the size of the buckled region. Dynamic effects included are the transient deformation from the bifurcation state to the post-buckling configuration and the possibility of buckle nucleation due to waves impinging on the film from within the substrate. Histories of transient buckle deflection and buckle width are determined for representative material parameters.


Energy Release Rate Total Potential Energy Symmetric Deformation Plane Strain Deformation Interface Toughness 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. [1]
    Chai, H., Babcock, C. D., Knauss, W. G.: One dimensional modeling of failure in laminated plates by delamination buckling. Int. J. Solids Struc. 17, 1069–1083 (1981).CrossRefMATHGoogle Scholar
  2. [2]
    Bottega, W J., Maewal, A.: Delamination buckling and growth in laminates. J. Appl. Mech. 50, 184–189 (1983).ADSCrossRefMATHGoogle Scholar
  3. [3]
    Evans, A. G., Hutchinson, J. W.: On the mechanics of delamination and spalling in compressed films. Int. J. Solids Struc. 20, 455–466 (1984).CrossRefGoogle Scholar
  4. [4]
    Yin, W.-L., Fei, Z.: Delamination buckling and growth in a clamped circular plate. AIAA Journal 26, 438–445 (1988).ADSCrossRefMATHGoogle Scholar
  5. [5]
    Argon, A. S., Gupta, V., Landis, H. S., Comic, J. A.: Intrinsic toughness of interfaces between SiC coatings and substrates of Si or C fibre. J. Matis. Sci. 24, 1207–1218 (1989).ADSCrossRefGoogle Scholar
  6. [6]
    Hutchinson, J. W, Thouless, M., Liniger, E. G.: Growth and configurational stability of circular buckling-driven film delaminations. Harvard University Technical Report (1991).Google Scholar
  7. [7]
    Gupta, V., Argon, A. S.: Measurement of strength of thin film interfaces by laser spallation experiment. Proceedings of the IUTAM Symposium on Inelastic Deformation of Composite Materials, to appear (1991).Google Scholar
  8. [8]
    Chai, H.: The growth of impact damage in compressively loaded laminates. Ph. D. Thesis, California Institute of Technology (1982).Google Scholar
  9. [9]
    Langhaar, H.: Energy methods in applied mechanics. New York: Wiley 1962.Google Scholar
  10. [10]
    Mettler, R: Dynamic buckling. In: Handbook of Engineering Mechanics ( Flugge, W., ed.). New York: McGraw-Hill 1962.Google Scholar
  11. [11]
    Burns, S. J., Webb, W. W.: Fracture surface energies and dislocation processes during dynamic cleavage of LiF. I. Theory. J. Appl. Phys. 41, 2078–2085 (1970).ADSCrossRefGoogle Scholar
  12. [12]
    Freund, L. B.: Dynamic fracture mechanics. Cambridge: Cambridge University Press 1990.CrossRefMATHGoogle Scholar
  13. [13]
    Hutchinson, J. W., Suo, Z.: Mixed mode cracking in layered materials. In: Advances in Applied Mechanics 28 ( Hutchinson, J. W., Wu, T. Y., eds.). New York: Academic Press, to appear (1992).Google Scholar
  14. [14]
    Landau, L. D., Lifshitz, E. M.: Mechanics, 3rd ed. New York: Pergamon Press 1976.Google Scholar
  15. [15]
    Thompson, J. M. T., Hunt, G. W.: A general theory of elastic stability. New York: Wiley 1973.MATHGoogle Scholar

Copyright information

© Springer-Verlag Wien 1992

Authors and Affiliations

  • Y. J. Lee
    • 1
  • L. B. Freund
    • 1
    • 2
  1. 1.USA
  2. 2.Division of EngineeringBrown UniversityProvidenceUSA

Personalised recommendations