Abstract
Our goal is to address the elastic stiffness of polycrystalline materials as the grain size decreases down to the nanometric scale. Tensile tests on W/Cu multilayers exhibiting various (nanometric) thicknesses have been carried out under synchrotron radiation. Analyses of X-ray diffraction data provide the average axial elastic strain in the two types of layers and along different crystallographic orientation. To interpret those results, we use a mean-field homogenization approach based on two scale transitions. The accuracy of this micromechanical model is compared to reference results obtained with a full-field approach in which a simple periodic microstructure is considered as for the grain distribution within each layer. Experimental data well match model predictions.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Akiniwa, Y., Machiya, S., Serizawa, K., Tanaka, K., Proc. 2004 Int. Symp. on Micro-Nano Mechatronics, Nagoya, Japan, pp. 75–80 (2004).
Badawi, K.F., Villain, P., Goudeau, P., Renault, P. O., Appl. Phys. Lett., 80, 4705 (2002).
Bretheau, T., Castelnau, O., In: Rayons X et Matière, RX2006, P. Goudeau, P., Guinebretière, R. (Eds.), p. 123, Hermes Science (2006).
Castelnau, O., Geandier, G., Renault, P.-O., Goudeau, Ph., Le Bourhis, E., Thin Solid Films, 516(2–4), 320–324 (2007).
Faurie, D., Renault, P.-O., Le Bourhis, E., Villain, P., Goudeau, Ph., Badawi, K.F., Thin Solid Films, 469–470, 201 (2004).
Faurie, D., Castelnau, O., Brenner, R., Renault, P.O., Le Bourhis, E., Goudeau, Ph., Patriarche, G., Appl. Phys. Lett., 89, 061911 (2006).
Gélébart, L., Colin, C., J. Nucl. Mater., in press.
Girault, B., Villain, P., Le Bourhis, E., Goudeau, P., Renault, P.-O. Surface and Coatings Technol., 201, 4372–4376 (2006).
Jaouen, M., Pacaud, J., Jaouen, C., Phys. Rev. B, 64, 144106 (2001).
Kanit T., Forest S., Galliet I., Mounoury V., Jeulin D., Int. J. Solids Struct., 40, 3647–3679, (2003).
Kröner, E., J. Phys. F: Met. Phys., 8, 2261 (1978).
Lebensohn, R.A., Castelnau, O., Brenner, R., Gilormini, P., Int. J. Solids Struct., 42, 5441 (2005).
Letouzé, N., Brenner, R., Castelnau, O., Bechade, J.L., Scripta Mater., 47 595 (2002).
Lu, Y.H., Lai M.O., Lu L., Zheng G.Y., Surface and Coatings Techn, 200, 4006 (2006).
Martinschitz, K.J., Eiper, E., Massl, S., Köstenbauer, H., Daniel, R., Fontalvo, G., Mitterer, C., Keckes, J., J. Appl. Cryst. 39, 777 (2006).
Matthies, S., Priesmeyer, H.G., Daymond, M.R., J. Appl. Cryst., 34, 585 (2001).
Milton G.W., The Theory of Composites. Cambridge University Press (2002).
Noyan, I.C., Sheikh, G., Mat. Res. Soc. Symp. Proc., 308, 3 (1993).
Pina, J., Dias, A., Lebrun, J.L., Mat. Sci. Eng. A, 267, 130 (1999).
Siska, F., Forest, S., Gumbsch, R., Weygand, D., Model. Simul. Mater. Sci. Eng., 15, 217–238, (2007).
Schiøtz, J., Vegge, T., Di Tolle, F.D., Jacobsen, K.W., Phys. Rev. B, 60, 11971 (1999).
Shenoy, V.B., Phys. Rev. B 71, 094104, (2005).
Van Workum, K., de Pablo, J.J., Phys. Rev. E, 67, 031601 (2003).
Villain, P., Goudeau, Ph., Renaul,t P.-O., Badawi, K.F., Appl. Phys. Lett., 81, 4365 (2002).
Welzel, U., Leoni, M., Mittemeijer, E.J., Phil. Mag.,83, 603 (2003).
Yu, D.Y.W., Spaepen, F., J. Appl. Phys. 95, 2991 (2004).
Zhou, L.G., Huang, H., Appl. Phys. Lett. 86, 1, (2004).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2009 Springer Science+Business Media, B.V.
About this paper
Cite this paper
Geandier, G. et al. (2009). Micromechanical Modeling of the Elastic Behavior of Multilayer Thin Films; Comparison with In Situ Data from X-Ray Diffraction. In: Pyrz, R., Rauhe, J.C. (eds) IUTAM Symposium on Modelling Nanomaterials and Nanosystems. IUTAM Bookseries, vol 13. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-9557-3_11
Download citation
DOI: https://doi.org/10.1007/978-1-4020-9557-3_11
Publisher Name: Springer, Dordrecht
Print ISBN: 978-1-4020-9556-6
Online ISBN: 978-1-4020-9557-3
eBook Packages: Chemistry and Materials ScienceChemistry and Material Science (R0)