Delamination of a strong film from a ductile substrate during indentation unloading

In this work, a finite element method was performed to simulate the spherical indentation of a ductile substrate coated by a strong thin film. Our objective was to study indentation-induced delamination of the film from the substrate. The film was assumed to be linear elastic, the substrate was elastic–perfectly plastic, and the indenter was rigid. The interface was modeled by means of a cohesive surface. The constitutive law of the cohesive surface included a coupled description of normal and tagential failure. Cracking of the coating itself was not included. During loading, it was found that delamination occurs in a tangential mode rather than a normal one and was initiated at two to three times the contact radius. Normal delamination occurred during the unloading stage, where a circular part of the coating, directly under the contact area was lifted off from the substrate. Normal delamination was imprinted on the load versus displacement curve as a hump. There was critical value of the interfacial strength above which delamination was prevented for a given material system and a given indentation depth. The energy consumption by the delamination process was calculated and separated from the part dissipated by the substrate. The effect of residual stress in the film and waviness of the interface on delamination was discussed.

[1]  M. Munawar Chaudhri,et al.  Accurate determination of the mechanical properties of thin aluminum films deposited on sapphire flats using nanoindentations , 1999 .

[2]  Huajian Gao,et al.  Elastic contact versus indentation modeling of multi-layered materials , 1992 .

[3]  José M. Martínez-Esnaola,et al.  Cross-sectional nanoindentation: a new technique for thin film interfacial adhesion characterization , 1999 .

[4]  A. Evans,et al.  The mechanics and physics of thin film decohesion and its measurement , 1996 .

[5]  Xiaopeng Xu,et al.  Void nucleation by inclusion debonding in a crystal matrix , 1993 .

[6]  W. Pompe,et al.  Critical radius for interface separation of a compressively stressed film from a rough surface , 1999 .

[7]  Anthony G. Evans,et al.  Measurement of adherence of residually stressed thin films by indentation. I. Mechanics of interface delamination , 1984 .

[8]  R. King,et al.  Elastic analysis of some punch problems for a layered medium , 1987 .

[9]  T. Page,et al.  The effect of coating cracking on the indentation response of thin hard-coated systems , 1998 .

[10]  Viggo Tvergaard,et al.  VOID GROWTH AND FAILURE IN NOTCHED BARS , 1988 .

[11]  Xiaopeng Xu,et al.  Numerical simulations of fast crack growth in brittle solids , 1994 .

[12]  Bharat Bhushan,et al.  Measurement of fracture toughness of ultra-thin amorphous carbon films , 1998 .

[13]  William D. Nix,et al.  A method for interpreting the data from depth-sensing indentation instruments , 1986 .

[14]  J. Hutchinson,et al.  Measurement of the adhesion of a brittle film on a ductile substrate by indentation , 1996, Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.

[15]  W. Nix,et al.  Analysis of elastic and plastic deformation associated with indentation testing of thin films on substrates , 1988 .

[16]  S. Timoshenko,et al.  THEORY OF PLATES AND SHELLS , 1959 .

[17]  N. Moody,et al.  Quantitative adhesion measures of multilayer films: Part II. Indentation of W/Cu, W/W, Cr/W , 1999 .

[18]  E. van der Giessen,et al.  Indentation-induced interface delamination of a strong film on a ductile substrate , 2001 .