Modeling of the intermolecular Force-Induced Adhesion in Freestanding Nanostructures Made of Nano-beams

Document Type: Research Paper

Authors

1 Department of Engineering, Ramsar Branch, Islamic Azad University, Ramsar, Iran

2 Department of Engineering, Lahijan Branch, Islamic Azad University, Lahijan, Iran

Abstract

Among the intermolecular interactions, the Casimir and van der Waals forces are the most important forces that highly affect the behavior of nanostructures. This paper studies the effect of such forces on the adhesion of cantilever freestanding nanostructures. The nanostructures are made of a freestanding nano-beam which is suspended between two upper and lower conductive surfaces. The linear spring model is applied to derive the elastic force. The Lumped Parameter Model (LPM) is used to obtain constitutive equations of the systems. The maximum length of the nano-beam which prevents the adhesion is computed. Results of this study are useful for design and development of miniature devices.

Keywords

Main Subjects

[1] Abadian, N., Gheisari, R., Keivani, M., Kanani, A., Mokhtari J., Rach, R., and Abadyan, M., "Effect of the centrifugal force on the electromechanical instability of U-shaped and double-sided sensors made of cylindrical nanowires", Journal of the Brazilian Society of Mechanical Sciences and Engineering, pp. 1-20, 2016.
[2] Keivani, M., Kanani, A., Mardaneh, M. R., Mokhtari, J., Abadyan, N., and Abadyan, M., "Influence of Accelerating Force on the Electromechanical Instability of Paddle-Type and Double-Sided Sensors Made of Nanowires", International Journal of Applied Mechanics,Vol. 8, No. 01, pp. 1650011, 2016.
[3] Keivani, M., Khorsandi, J., Mokhtari, J., Kanani, A., Abadian, N., and Abadyan, M., "Pull-in instability of paddle-type and double-sided NEMS sensors under the accelerating force", Acta Astronautica, Vol. 119 pp. 196-206, 2016.
[4] Beni, Y. T., Koochi, A., Kazemi, A. S., and Abadyan, M., "Modeling the influence of surface effect and molecular force on pull-in voltage of rotational nano–micro mirror using 2-DOF model", Canadian Journal of Physics, Vol. 90, No. 10, pp. 963-974, 2012.
[5] Keivani, M., Mokhtari, J., Kanani, A., Abadian, N., Rach, R., and Abadyan, M., "A size-dependent model for instability analysis of paddle-type and double-sided NEMS measurement sensors in the presence of centrifugal force", Mechanics of Advanced Materials and Structures just-accepted, pp. 1-40, 2016.
[6] Benic, Y. T., Noghreh Abadid, A. R., and Noghreh Abadie, M., "A Deflection of Nano-Cantilevers Using Monotone Solution", 2011.
[7] Duan, J. S., Rach, R., and Wazwaz, A. M., "Solution of the model of beam-type micro-and nano-scale electrostatic actuators by a new modified Adomian decomposition method for nonlinear boundary value problems", International Journal of Non-Linear Mechanics, Vol. 49, pp. 159-169, 2013.
[8] Zhang, L., Golod, S. V., Deckardt, E., V. Prinz, V., and Grützmacher, "Free-standing Si/SiGe micro-and nano-objects", Physica E: Low-dimensional Systems and Nanostructures, Vol. 23, No. 3, pp. 280-284, 2004.
[9] Koochi, A., Kazemi A. S., and Abadyan, M. R., "Simulating deflection and determining stable length of freestanding carbon nanotube probe/sensor in the vicinity of graphene layers using a nanoscale continuum model", Nano 6, No. 05, pp. 419-429, 2011.
[10] Lin, W-H., and Zhao Y-P., "Casimir effect on the pull-in parameters of nanometer switches", Microsystem Technologies, Vol. 11, No. 2-3, pp. 80-85, 2005.
[11] Lin, W. H., and Zhao, Y. P., "Nonlinear behavior for nanoscale electrostatic actuators with Casimir force", Chaos, Solitons & Fractals, Vol. 23, No. 5, pp. 1777-1785, 2005.
[12] Farrokhabadi, A., Abadian, N., Kanjouri, F., and Abadyan, M., "Casimir force-induced instability in freestanding nanotweezers and nanoactuators made of cylindrical nanowires", International Journal of Modern Physics B, Vol. 28, No. 19, pp. 1450129, 2014.
[13] Farrokhabadi, A., Abadian, N., Rach, R., and Abadyan, M., "Theoretical modeling of the Casimir force-induced instability in freestanding nanowires with circular cross-section", Physica E: Low-dimensional Systems and Nanostructures, Vol. 63, pp. 67-80, 2014.
[14] Soroush, R., Koochi, A., Kazemi, A. S., Noghrehabadi, A., Haddadpour, H., and Abadyan, M., "Investigating the effect of Casimir and van der Waals attractions on the electrostatic pull-in instability of nano-actuators", Physica scripta, Vol. 82, No. 4, pp. 045801, 2010.
[15] Abadyan, M., Novinzadeh, A., and Kazemi, A. S., "Approximating the effect of the Casimir force on the instability of electrostatic nano-cantilevers", Physica Scripta, Vol. 81, No. 1, pp. 015801, 2010.
[16] Abdi, J., Koochi, A., Kazemi, A. S., and Abadyan, M. "Modeling the effects of size dependence and dispersion forces on the pull-in instability of electrostatic cantilever NEMS using modified couple stress theory", Smart Materials and Structures, Vol. 20, No. 5, pp. 055011, 2011.
[17] Fu, Y., Z. Jin., and Wan. L.,"Application of the energy balance method to a nonlinear oscillator arising in the microelectromechanical system (MEMS)", Current applied physics, Vol. 11, No. 3, pp. 482-485, 2011.
[18] Ke, C., "Resonant pull-in of a double-sided driven nanotube-based electromechanical resonator", Journal of Applied Physics, Vol. 105, No. 2, pp. 024301, 2009.
[19] Sedighi, H. M., and Shirazi, K. H., "Dynamic pull-in instability of double-sided actuated nano-torsional switches", Acta Mechanica Solida Sinica, Vol. 28, No. 1, pp. 91-101, 2015.
[21] Bordag, M., Mohideen, U., and Mostepanenko, V. M., "New developments in the Casimir effect", Physics reports, Vol. 353, No. 1, pp. 1-205, 2001.
[22] Lamoreaux, S. K., "The Casimir force: background, experiments, and applications", Reports on progress in Physics, Vol. 68, No. 1, pp. 201, 2004.
[23] Gusso, A., and Delben, G. J.  "Dispersion force for materials relevant for micro-and nanodevices fabrication." Journal of Physics D: Applied Physics, Vol. 41, No. 17, pp. 175405, 2008.