Investigation of the interaction of nanoindenter with elastomer using a dynamic model of probe movement
DOI:
https://doi.org/10.17072/1994-3598-2019-2-46-54Keywords:
atomic force microscopy, nanoindentation, elastomers, surface effects, dynamic modelAbstract
The study of filled elastomers using atomic force microscopy methods is a promising, effective and informative way of studying the structure of materials at the micro and nanolevel, and its local mechanical properties. It allows obtaining characteristics of the surface layer with a very good spatial resolution in a nanoindentation mode. However, in order to process the data obtained by a microscope, it is necessary to have an indentation model that is adequate to the scale of the research and the specifics of the material. Common indentation models are based on the Hertz elastic model and are its complicated version due to consideration of forces of different nature (adhesive forces, nonlinear properties of the material under study, viscoelastic behavior, surface irregularities and capillary phenomena). The currently used models of interaction between the nanoindenter and the sample surface require clarification and addition. It is proposed to consider in the developed model factors not previously taken into account related to the peculiarities of the experiments conducted, considered scales and materials (surface tension, van der Waals forces, geometric nonlinearity, inertial effects associated with high speed indentation, dynamic response of the material to the impact , probe rebound upon contact with the sample surface). The paper presents the results of studying the dynamic behavior of a nanoindenter using a numerical model. The object of the simulation is an absolutely rigid probe with effective stiffness k and effective mass m. The movement of the probe is described by Newton's second law. The parameters of the numerical model are selected based on experimental data. The developed model adequately describes the movement of the probe in the process of nanoindentation of the elastomeric material, and the simulation results are in good agreement with the real experimental data.References
Ikeda Y., Kato A., Shimanuki J., Kohjiya S., Tosaka M., Poompradub S., Toki S., Hsiao B. S. Nanostructural elucidation in carbon black loaded NR vulcanizate by 3D-TEM and in situ WAXD measurements. Rubber Chemistry and Technology, 2007, vol. 80 (2), pp. 251–264.
Wang M.-J. Effect of polymer-filler and filler-filler interactions on dynamic properties of filled vulcanizates. Rubber Chemistry and Technology. Rubber Reviews, 1998, vol. 71, no. 3, pp. 520–589.
Johnson K. L. et al. Surface energy and the contact of elastic solids. Proceedings of the Royal Society A, 1971, vol. 324, no. 1558, pp. 301–313.
Johnson L. L. Atomic force microscopy (AFM) for rubber. Rubber Chemistry and Technology, 2008, vol. 81, no. 3, pp. 359–383.
Derjaguin B.V. et al. Effect of contact deformations on the adhesion of particles. Journal of Colloid and Interface Science, 1975, vol. 53, no. 2, pp. 314–326.
Maugis D. Adhesion of spheres: The JKR–DMT transition using a Dugdale model. Journal of Colloid and Interface Science, 1992, vol. 150, no. 1, pp. 243–269.
Fischer-Cripps A. C. Nanoindentation. New-York: Springer, 2011. 302 p.
Tiwari A. (Ed.) Nanomechanical analysis of high performance materials. Dordrecht: Springer, 2013. 300 p.
Golovin Yu. I. Nanoindentirovanie i ego vozmozhnosti (Nanoindentatioan and its possibilities). Moscow: Mashinostroenie, 2009. 312 p. (In Russian).
Vatankhah R. Nonlinear vibration of AFM microcantilevers with sidewall probe. Journal of the Brazilian Society of Mechanical Sciences and Engineering, 2017, vol. 39, no. 12, pp. 4873–4886.
Sahoo D. R. et al. High-throughput intermittent-contact scanning probe microscopy. Nanotechnology, 2010, vol. 21, 075701.
Lantz M. A., Wiesmann D., Gotsmann B. Dynamic superlubricity and the elimination of wear on the nanoscale. Nature Nanotechnology, 2009, vol. 4, pp. 586–591.
Eslami S., Jalili N. A comprehensive modeling and vibration analysis of AFM microcantilevers subjected to nonlinear tip-sample interaction forces. Ultramicroscopy, 2012, vol. 117, pp. 31–45.
Li Z., Shi T., Xia Q. Design optimization of high performance tapping mode AFM probe. Microsystem Technologies, 2018, vol. 24, no. 2, pp. 979–987.
Malovichko I. M. Measuring AFM cantilever stiff-ness from a thermal noise spectrum. Bulletin of the Russian Academy of Sciences: Physics, 2013, vol. 77, no. 8, pp. 972–974.
Smirnov S., Meshkov G., Iaminskii I. Teplovye kolebaniia v mikro- i nanomekhanicheskikh sistemakh (Thermal oscillation in micro- and nanomechanical systems). Nanoindustry, 2012, vol. 31, no. 1, pp. 42–46 (In Russian).
Sader J. E., Larson I., Mulvaney P., White L. R. Method for the calibration of atomic force microscope cantilevers. Review of Scientific Instruments, 1995, vol. 66, no. 7, pp. 3789–3798.
Sader J. E., Chon J. W. M., Mulvaney P. Calibration of rectangular atomic force microscope cantilevers. Review of Scientific Instruments, 1999, vol. 70, no. 10, pp. 3967–3969.
Tipsnano. AFM Probes and Accessories. URL: http://tipsnano.ru/catalog/afm-standard/contact
Garishin O. K. Modelling of interaction between the atomic force microscope probe with a polymer surface with account of Van der Waals forces and surface tension. Nanosystems: Physics, Chemistry, Mathematics. 2012, vol. 3, no. 2, pp. 47–54 (In Russian).
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