Abstract
Adhesion is an important phenomenon in the context of MEMS for which the surface forces become dominant in comparison with the body forces. Because the magnitudes of the adhesive forces strongly depend on the surface interaction distances, which in turn evolve with the roughness of the contacting surfaces, the adhesive forces cannot be determined in a deterministic way. To quantify the uncertainties on the structural stiction behavior of a MEMS, this work proposes a “stochastic multi-scale methodology”. The key ingredient of the method is the evaluation of the random meso-scale apparent contact forces, which homogenize the effect of the nano-scale roughness and are integrated into a numerical model of the studied structure as a random contact law. To obtain the probabilistic behavior at the structural MEMS scale, a direct method needs to evaluate explicitly the meso-scale apparent contact forces in a concurrent way with the stochastic multi-scale approach. To reduce the computational cost, a stochastic model is constructed to generate the random meso-scale apparent contact forces. To this end, the apparent contact forces are parameterized by a vector of parameters before applying a polynomial chaos expansion in order to construct a mathematical model representing the probability of the random parameters vector. The problem of micro-beam stiction is then studied in a probabilistic way.
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References
van Spengen, W.M., Puers, R., De Wolf, I.: On the physics of stiction and its impact on the reliability of microstructures. J. Adhes. Sci. Technol. 17 (4), 563–582 (2003)
Hoang, T.-V., Wu, L., Paquay, J.-C., Golinval, Arnst, M., Noels, L.: A computational stochastic multi-scale methodology for MEMS structures involving adhesive contact. Tribol. Int. (submitted)
DelRio, F.W., Dunn, M.L., de Boer, M.P.: Van der waals and capillary adhesion of polycrystalline silicon micromachined surfaces. In: Bhushan, B. (ed.) Scanning Probe Microscopy in Nanoscience and Nanotechnology. NanoScience and Technology, vol. 3, pp. 363–393. Springer, Berlin (2013). doi:10.1007/978-3-642-25414-7-14. http://dx.doi.org/10.1007/978-3-642-25414-7_14
DelRio, F.W., Dunn, M.L.D., de Boer, M.P.: Capillary adhesion model for contacting micromachined surfaces. Scr. Mater. 59 (9), 916–920 (2008). viewpoint set no. 44 “The materials for MEMS”. doi:http://dx.doi.org/10.1016/j.scriptamat.2008.02.037. http://www.sciencedirect.com/science/article/pii/S1359646208001668
Xue, X., Polycarpou, A.A.: Meniscus model for noncontacting and contacting sphere-on-flat surfaces including elastic-plastic deformation. J. Appl. Phys. 103 (2), (2008). doi:10.1063/1.2830863
van Spengen, W.M.: A physical model to describe the distribution of adhesion strength in MEMS, or why one MEMS device sticks and another ‘identical’ one does not. J. Micromech. Microeng. 25 (12), 125012 (2015). http://stacks.iop.org/0960-1317/25/i=12/a=125012
Wu, L., Noels, L., Rochus, V., Pustan, M., Golinval, J.-C.: A micro - macro approach to predict stiction due to surface contact in micro electro-mechanical systems. J. Microelectromech. Syst. 20 (4), 976–990 (2011). doi:10.1109/JMEMS.2011.2153823.
Hoang, T.-V., Wu, L., Paquay, S., Obreja, A., Voicu, R., Müller, R., Golinval, J.-C., Noels, L.: A probabilistic model for predicting the uncertainties of the humid stiction phenomenon on hard materials. J. Comput. Appl. Math. 289, 173–195 (2015)
Cai, S., Bhushan, B.: Meniscus and viscous forces during separation of hydrophilic and hydrophobic surfaces with liquid-mediated contacts. Mater. Sci. Eng. R. Rep. 61 (1), 78–106 (2008)
de Boer, M.: Capillary adhesion between elastically hard rough surfaces. Exp. Mech. 47, 171–183 (2007). doi:10.1007/s11340-006-0631-z. http://dx.doi.org/10.1007/s11340-006-0631-z
Johnson, K.L.: Contact Mechanics. Cambridge University Press, Cambridge (1987)
Hertz, H.: Ueber die berührung fester elastischer körper. J. für die reine und angewandte Math. 92, 156–171 (1882). http://eudml.org/doc/148490
Acknowledgements
The research has been funded by the Walloon Region under the agreement no 1117477 (CT-INT 2011-11-14) in the context of the ERA-NET MNT framework.
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Hoang, T.V., Wu, L., Paquay, S., Golinval, JC., Arnst, M., Noels, L. (2017). A Stochastic Multi-Scale Model for Predicting MEMS Stiction Failure. In: Starman, L., Hay, J., Karanjgaokar, N. (eds) Micro and Nanomechanics, Volume 5. Conference Proceedings of the Society for Experimental Mechanics Series. Springer, Cham. https://doi.org/10.1007/978-3-319-42228-2_1
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