Skip to main content

Surface Mechanics and Full-Field Measurements: Investigation of the Electro-Elastic Coupling

  • 1478 Accesses

Part of the Advanced Structured Materials book series (STRUCTMAT,volume 30)

Abstract

Many proofs of concept studies have established the mechanical sensitivity of functionalized microcantilevers to a large spectrum of target molecules. However, moving to real-life applications also requires the monitored mechanical effect to be highly specific. On the other hand, describing the involved surface effects in the continuum mechanics framework is still challenging. Several attempts to overcome the Stoney’s surface stress failure to satisfy field equations tend to show such a description has to be non-local, so that at least one ‘characteristic length’ parameter has to be used. The consequence is twofold: first, suited modelings have to be developed to describe the surface effects at the cantilever scale; and second, the involved characteristic length is (thermodynamically) connected to the molecular mechanisms at the cantilever surface, and may therefore be a key parameter for the target molecules identification. This requires to experimentally access displacement fields induced by the molecular interactions under scrutiny. A set-up providing mechanical and chemical fields along the cantilever is thus implemented focusing on cases where the cantilever’s surface reacts heterogeneously. The large amount of data obtained using full-field set-ups is redundant from the mechanical point-of-view, and this redundancy is used to identify some of the key parameters describing the mechanical surface effects. Results obtained when studying the electro-elastic coupling in a non-adsorbing case are presented.

Keywords

  • Surface Stress
  • Constitutive Parameter
  • Position Sensitive Detector
  • Optical Lever
  • Residual Stress Tensor

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

This is a preview of subscription content, access via your institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • DOI: 10.1007/978-3-642-35783-1_5
  • Chapter length: 10 pages
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout
eBook
USD   99.00
Price excludes VAT (USA)
  • ISBN: 978-3-642-35783-1
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout
Softcover Book
USD   129.99
Price excludes VAT (USA)
Hardcover Book
USD   169.99
Price excludes VAT (USA)
Fig. 1
Fig. 2
Fig. 3
Fig. 4

References

  1. Lavrik, N.V., Sepaniak, M.J., Datskos, P.G.: Cantilever transducers as a platform for chemical and biological sensors. Rev. Sci. Instrum. 75(7), 2229–2253 (2004)

    CrossRef  CAS  Google Scholar 

  2. Berger, R., Delamarche, E., Lang, H.P., Gerber, C., Gimzewski, J.K., Meyer, E., et al.: Surface stress in the self-assembly of alkanethiols on gold probed by a force microscopy technique. Appl. Phys. A. 66, S55–S59 (1998)

    CrossRef  CAS  Google Scholar 

  3. Pinnaduwage, L.A., Boiadjiev, V., Hawk, J.E., Thundat, T.: Sensitive detection of plastic explosives with self-assembled monolayer-coated microcantilevers. Appl. Phys. Lett. 83(7), 1471–1473 (2003)

    CrossRef  CAS  Google Scholar 

  4. Fritz, J., Baller, M.K., Lang, H.P., Rothuizen, H., Vettiger, P., Meyer, E., et al.: Translating biomolecular recognition into nanomechanics. Science 288, 316–318 (2000)

    CrossRef  CAS  Google Scholar 

  5. Arntz, Y., Seelig, J.D., Lang, H.P., Zhang, J., Hunziker, P., Ramseyer, J.P., et al.: Label-free protein assay based on a nanomechanical cantilever array. Nanotechnology 14, 86–90 (2003)

    CrossRef  CAS  Google Scholar 

  6. Arlett, J.L., Myers, E.B., Roukes, M.L.: Comparative advantages of mechanical biosensors. Nat. Nanotechnol. (2011). doi:10.1038/nnano.2011.44

  7. Stoney, G.: The tension of metallic films deposited by electrolysis. Proc. R. Soc. Lond. Ser. A 82, 172 (1909)

    Google Scholar 

  8. Mertens, J., Álavarez, M., Tamayo, J.: Real-time profile of microcantilevers for sensing applications. Appl. Phys. Lett. 87, 234102 (2005)

    Google Scholar 

  9. Helm, M., Servant, J.J., Saurenbach, F., Berger, R.: Read-out of micromechanical cantilever sensors by phase shifting interferometry. Appl. Phys. Lett. 87, 064101 (2005)

    Google Scholar 

  10. Wehrmeister, J., Fuss, A., Saurenbach, F., Berger, R., Helm, M.: Readout of micromechanical cantilever sensor arrays by Fabry-Perot interferometry. Rev. Sci. Instrum. 78, 104105 (2007)

    Google Scholar 

  11. Jeon, S., Jung, N., Thundat, T.: Nanomechanics of self-assembled monolayer on microcantilever sensors measured by a multiple-point deflection technique. Sens. Actuators B 122, 365–368 (2007)

    Google Scholar 

  12. Watari, M., Lang, H.-P., Sousa, M., Hegner, M., Gerber, C., Horton, M.A., McKendry, R.A: Investigating the molecular mechanisms of in-plane mechanochemistry on cantilever arrays. J. Am. Chem. Soc. 129, 601–609 (2007)

    Google Scholar 

  13. Amiot, F., Roger, J.P., Boccara, A.C.: Towards massive parallel reading of sensitive mechanical microsensors. SPIE Proceedings: Advanced Biomedical and Clinical Diagnostic Systems, vol. 4958, pp. 183–188. SanJose CA, USA (2003)

    Google Scholar 

  14. Amiot, F., Roger, J.P.: Nomarski imaging interferometry to measure the displacement field of micro-electro-mechanical systems. Appl. Opt. 45(30), 7800–7810 (2006)

    Google Scholar 

  15. Mindlin, R.D.: Second gradient theory of strain and surface tension in linear elasticity. Int. J. Solids Struct. 1, 417–438 (1965)

    Google Scholar 

  16. Gurtin, M.E., Murdoch, A.I.: A continuum theory of elastic material surfaces. Arch. Ration. Mech. Anal. 57, 291–323 (1975)

    Google Scholar 

  17. Gurtin, M.E., Murdoch, A.I.: Surface stress in solids. Int. J. Solids Struct. 14, 431–440 (1978)

    Google Scholar 

  18. Amiot, F.: A model for chemically-induced mechanical loading on MEMS. J. Mech. Mater. Struct. 2(9), 1787–1803 (2007)

    Google Scholar 

  19. Garraud, N., Fedala, Y., Kanoufi, F., Tessier, G., Roger, J.P., Amiot, F.: Multiple wavelengths reflectance microscopy to study the multi-physical behavior of MEMS. Opt. Lett. 36(4), 594–596 (2011)

    Google Scholar 

Download references

Acknowledgments

This work was funded through the NRA grants \(\mu \)-Ecoliers ANR-08-JCJC-0088 (F.K., S.M.) and CheMeCo ANR-11-JS09-019-01 (F.A.).

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Fabien Amiot .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 2013 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Flammier, C., Kanoufi, F., Munteanu, S., Roger, J.P., Tessier, G., Amiot, F. (2013). Surface Mechanics and Full-Field Measurements: Investigation of the Electro-Elastic Coupling. In: Altenbach, H., Morozov, N. (eds) Surface Effects in Solid Mechanics. Advanced Structured Materials, vol 30. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-35783-1_5

Download citation