Abstract
The elastic response of atmospheric plasma-sprayed coatings was investigated using Vickers and spherical indenter geometries. In both cases a strong dependency of the stiffness on the applied load (indentation depth) was observed. The stiffness of the coatings decreased with increasing load for a Vickers indenter, whereas it increased for a spherical indenter. This contrary behavior was related to the relative crack density in the deformed volume and to the stress dependence of the stiffness due to crack closure. The effect of annealing on the stiffness was quantified for both tip geometries. The heat treatment yielded additional information on the relationship between the indentation data and the microstructural defects. From the results it was concluded that the stiffness measured using a sharp indenter and small load reflected the elastic behavior of single spraying splats. With the relatively large spherical indenter, the average global stiffness of the thermal barrier coating was measured even at small loads. From the data obtained using the spherical indenter, a compressive stress–strain curve was suggested. Furthermore, values of the apparent crack density and yield strength were determined from the indentation tests.
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References
H.W. Grünling and W. Mannsmann, J. Phys. (Paris) 4, 903 (1993).
J.T. DeMasi-Marcin and D.K. Gupta, Surf. Coat. Technol. 68/69, 1 (1994).
D.B. Marshall and A.G. Evans, J. Appl. Phys. 56, 2632 (1984).
A.G. Evans and J.W. Hutchinson, Int. J. Solids Struct. 20, 455 (1984).
A.K. Sinha, H.J. Levinstein, and T.E. Smith, J. Appl. Phys. 49, 2423 (1978).
S. Kuroda and T.W. Clyne, Thin Solid Films 200, 49 (1991).
J.A. Thompson and T.W. Clyne, Acta Mater. 49, 1565 (2001).
E.P. Busso, J. Lin, S. Sakurai, and N. Nakayama, Acta Mater. 49, 1515 (2001).
D. Basu, C. Funke, and R.W. Steinbrech, J. Mater. Res. 14, 12 (1999).
C.A. Johnson, J.A. Ruud, R. Bruce, and D. Wortman, Surf. Coat. Technol. 108–109, 80 (1998).
J. Malzbender, J.M.J. den Toonder, A.R. Balkenende, and G. de With, Mater. Sci. Eng. R 36, 47 (2002).
J.I. Eldridge, D. Zhu, and R.A. Miller, J. Am. Cer. Soc. 84, 2737 (2001).
E. Wessel and R.W. Steinbrech, Key. Eng. Mater. 223, 55 (2002).
B. Siebert, C. Funke, R. Vaβen, and D. Stöver, J. Mater. Process. Technol. 92–93, 217 (1999).
DIN 50359, Deutsches Institut für Normung e.V., Beuth Verlag, Berlin, Germany (1997).
J. Malzbender, J. Euro. Ceram. Soc. 23, 1355 (2003).
W.C. Oliver and G.M. Pharr, J. Mater. Res. 7, 1564 (1992).
T-Y. Zhang and W-H. Xu, J. Mater. Res. 17, 1715 (2002).
P. Grau. C. Ullner, and H-H. Behncke, Materialpriifung 39, 9 (1997).
M.S. Bobji and S.K. Biswas, Trib. Lett. 7, 51 (1999).
H. Meinhard and P. Grau, Härterei-Technische Mitteilungen 56, 287 (2001).
P. Grau, C. Ullner, and H. Behncke, Materialpriifung 39, 362 (1997).
R.S. Lima, A. Kucuk, and C.C. Berndt, Surf. Coat. Technol. 135, 166 (2001).
A.I. Gusev, Physics-Uspehki 41, 49 (1998).
H.S. Kim and M.B. Bush, NanoStructured Mater. 11, 361 (1999).
A.E. Giannakopoulos, Thin Solid Films 332, 172 (1998).
T. Nakamura, G. Quina, and C.C. Berndt, J. Am. Cer. Soc. 83, 578 (2000).
A. Anthoine, Int. J. Solids Structures 37, 1003 (2000).
M. Kachanov, I. Tsukrov, and B. Shafiro, Appl. Mech. Rev. 47, 151 (1994).
T. Nakamura, G. Qian, and C.C. Berndt, J. Am. Ceram. Soc. 83, 578 (2000).
J.G. Swadener, B. Taljat, and G.M. Pharr, J. Mater. Res. 16, 2091 (2001).
H.J. Kim and Y.G. Kweon, Thin Solid Films 342, 201 (1999).
J. Malzbender and R.W. Steinbrech, J. Mater. Res. 18, 1374 (2003).
J.S. Wallace and J. Ilavsky, J. Thermal Spray Technol. 7, 521 (1998).
A.J. Allen, J. Ilavsky, G.G. Long, J.S. Wallace, C.C. Berndt, and H. Herman, Acta Mater. 49, 1661 (2001).
R.W. Steinbech, Ceramic Eng. Sci. Proc. 23, 371 (2002).
G. Thurn, G.A. Schneider, H-A. Bahr, and F. Aldinger, Surf. Coat. Technol. 123, 147 (2000).
J-H. Ahn, E-C. Jeon, Y. Choi, Y-H. Lee, and D. Kwon, Current Appl. Phys. 2, 525 (2002).
F. Kroupa and J. Dubsky, Scripta Mater. 40, 1249 (1999).
I. Sevostianov, M. Kachanov, and J. Ruud, J. Eng. Mater. Technol. 124, 246 (2002).
T. Wakui, J. Malzbender, R.W. Steinbrech, and L. Singheiser, to be presented at the International Conference on Thermal Spraying, ITSC 2003, Orlando, Florida.
J.I. Eldrige, G.N. Morscher, and S.R. Choi, Ceramic Eng. Sci. Proc. 23, 371 (2002).
G.E. Exadaktylos, I. Vardoulakis, S.K. Kourkoulis, Int. Solids Structures 38, 4091 (2001).
Y-T. Cheng and C-M. Cheng, Appl. Phys. Lett. 73, 614 (1998).
E. Lugscheider, K. Bobzin, S. Bärwulf, and A. Etzkorn, Surf. Coat. Technol. 138, 9 (2000).
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Malzbender, J., Steinbrech, R.W. Determination of the stress-dependent stiffness of plasma-sprayed thermal barrier coatings using depth-sensitive indentation. Journal of Materials Research 18, 1975–1984 (2003). https://doi.org/10.1557/JMR.2003.0274
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DOI: https://doi.org/10.1557/JMR.2003.0274