Abstract
This paper presents a simple mechanical explanation of two different experimentally verified crack patterns occurring in a thin TiN-layer coating on a steel substrate. The load stress state is generated on the concave side of a bending specimen where the layer is connected with the substrate. Obviously, the special kinds of failure result from different interactions between the layer and the surface of the substrate and depend on the special stress and deformation states in accordance with the layer's thickness. The regions for the models used are characterised and the transition from membrane cracking to separation buckling is determined and discussed in connection with fracture mechanics applications.
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References
Ambarzumjan, S.A. (1987). Theory of Anisotropic Plates Nauka, Moscow (in Russian).
Bertram, T. (2000). Indentermechanik hartbeschichteter Werkstoffe. Dissertation, Presented at the Graduiertenkolleg’ Werkstoffphysikalische Modellierung', TU Bergakademie Freiberg 2000.
Bressers, J., Peteves, S. and Steen, M. (2000). Coatings for hot section gas turbine components. In: Fracture Mechanics: Applications and Challenges (edited by Fuentes, M., Elices, M., Martin-Meizoso, A. and Martinez-Esnola J.M.) Invited Papers presented at the 13th European on Conference on Fracture held in San Sebastian, Spain, 6-9 September 2000. Elsevier, Amsterdam, 115–134.
Chai, H. and Babcock, C.D. (1981). One-dimensional modeling of failure in laminated plates by delamination buckling. International Journal of Solids and Structures 17, 1069–1083.
Cherepanov, G.P. (1983). Fracture Mechanics of Composite Materials. Nauka, Moscow (in Russian).
Choi, S.R., Hutchinson, J.W. and Evans, A.G. (1999). Delamination of multilayer thermal barrier coatings. Mechanics of Materials 31, 431–447.
Christensen, R.M. (1979). Mechanics of Composite Materials. Wiley-Interscience Publ. John Wiley & Sons, New York.
Gross, D. (1996). Bruchmechanik. Springer-Verlag, Berlin.
Hutchinson, J.W. and Suo, Z. (1992). Mixed mode cracking in layered materials. Advances in Applied Mechanics 29, 63–191.
Hutchinson, J.W., Thouless, M.D. and Liniger, E.G. (1992). Growth and configurational stability of circular, buckling-driven film delaminations. Acta Metallurgica et Materialia 40, 295–308.
Kachanov, L.M. (1998). Delamination Buckling of Composite Materials. Kluwer Academic Publishers, Dordrecht.
Kardomateas, G.A., Pelegri, A.A. and Malik, B. (1994). Growth of internal delaminations under cyclic compression in composite plates. Failure Mechanics in Advanced Polymeric Composites American Society of Mechanical Engineers. Applied Mechanics Division, ASME, New York, NY, USA, MD 196, 13–29.
Martinez-Esnola, J.M., Sanches, J.M., Elizalde, M.R. and Martin-Meizoso, A. (2000). Interfacial cracking in thin film structures. In: Fracture Mechanics: Applications and Challenges (edited by Fuentes, M., Elices, M., Martin-Meizoso, A. and Martinez-Esnola, J.M.) Invited Papers presented at the 13th European Conference on Fracture held in San Sebastian, Spain, 6-9. September 2000. Elsevier, Amsterdam 47–71.
Mikhailov, A.M. (1966). Dynamic problems of crack mechanics in the beam approximation (in Russian). Prikladnaja Matematika i Technicheskaja Fisika N°. 5, 167–172.
Nilsson, K.-F., Asp, L.E. and Alpman, J.E. (1997). Delamination buckling and growth at global buckling. In: Damage and Failure of Interfaces (edited by Rossmanith, H.-P.) Proceedings of the First International Conference-DFI-1, Vienna, Austria, 22-24 September 1997. A.A. Balkema, Rotterdam, 193–202.
Polilov, A.N. and Rabotnov, Yu.N. (1983). Development of layer separation upon compression of composites. Mechanics of Solids (Translation of Izvestiya Akademii Nauk SSSR, Mekhanika Tverdogo Tela) 18(4), 165–170.
Ryvkin, M., Slepyan, L. and Banks-Sills, L. (1995). On the scale effect in the thin layer delamination problem. International Journal of Fracture 71, 274–271.
Scherzer, M. (1999). Physikalisch und geometrisch nichtlineare Problemstellungen der Festkörper-und Bruchmechanik an Interface-Konfigurationen. Habilitationsschrift, Technische Universität Bergakademie, Freiberg.
Sedov, L.I. (1972). A Course in Continuum Mechanics, Vol. 2: Physical Foundations and Formulation of Problems. Wolters-Noordhoff Publishing, Groningen, The Netherlands.
Shenoy, V.G., Schwartzman, A.F. and Freund, L.B. (2001). Crack patterns in brittle thin films. International Journal of Fracture 109, 29–45.
Slepyan, L. (1990). Mechanics of Cracks. Sudostroenie, Leningrad (in Russian).
Socie, D. and Rejda, E. (2000). Modeling cyclic deformation of thick thermal coatings. In: Fracture Mechanics: Applications and Challenges (edited by Fuentes, M., Elices, M., Martin-Meizoso, A. and Martinez-Esnola, J.M.) Invited Papers presented at the 13th European Conference on Fracture held in San Sebastian, Spain, 6-9 September 2000, Elsevier, Amsterdam. 135–154.
Suo, Zhigang and Hutchinson, John W. (1990). Interface crack between two elastic layers. International Journal of Fracture 43, 1–18.
Whitecomb, J.D. (1989). Three-dimensional analysis of a post-buckled embedded delamination. Journal of Composite Materials 23, 862–889.
Yin, W.L. (1985). Axisymemtric buckling and growth of a circular delamination in a compressed laminate. International Journal of Solids and Structures 21, 503–514.
Yu, S.W. and Xu, Q.J. (1997). Structural mechanics and manufacturing mechanics in electronic packaging. In: Proceedings of Micro Materials 1997, Berliner Congress Center (BCC), 16-18 April 1997, Berlin. Deutscher Verband für Materialforschung und-Prüfung e.V., 71–75.
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Scherzer, M., Gläser, H. Mechanical Modelling of Failure Patterns in TiN-Coatings Loaded by Homogenous Stresses of a Bending Specimen. International Journal of Fracture 114, 291–306 (2002). https://doi.org/10.1023/A:1015573630806
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DOI: https://doi.org/10.1023/A:1015573630806