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Evaluation of adhesive and elastic properties of materials by depth-sensing indentation of spheres

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Abstract

Work of adhesion is the crucial material parameter for application of theories of adhesive contact. It is usually determined by experimental techniques based on the direct measurements of pull-off force of a sphere. These measurements are unstable due to instability of the load-displacement diagrams at tension, and they can be greatly affected by roughness of contacting solids. We show how the values of work of adhesion and elastic contact modulus of materials may be quantified using a new indirect approach (the Borodich–Galanov (BG) method) based on an inverse analysis of a stable region of the force-displacements curve obtained from the depth-sensing indentation of a sphere into an elastic sample. Using numerical simulations it is shown that the BG method is simple and robust. The crucial difference between the proposed method and the standard direct experimental techniques is that the BG method may be applied only to compressive parts of the force-displacements curves. Finally, the work of adhesion and the elastic modulus of soft polymer (polyvinylsiloxane) samples are extracted from experimental load-displacement diagrams.

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Acknowledgements

This work was initiated in the framework of the ADHESINT International Network supported by the Leverhulme Trust. It was also partly supported by the SPP 1420 priority program of the German Science Foundation (DFG) “Biomimetic Materials Research: Functionality by Hierarchical Structuring of Materials” (project GO 995/9-1).

In 2007, one of the authors (FB) delivered the first presentation of the BG method. After the presentation, Professor J.R. Willis (DAMTP, University of Cambridge) advised to develop an algorithm for checking the validity of the BG method and Professor K.L. Johnson (Department of Engineering, University of Cambridge) suggested to think about determination of the zero reference point on displacement axis. The authors are very grateful for these stimulating discussions and advise.

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Authors and Affiliations

  1. School of Engineering, Cardiff University, Cardiff, CF24 3AA, UK

    Feodor M. Borodich & Maria M. Suarez-Alvarez

  2. Institute for Problems in Materials Science, Kiev, 03142, Ukraine

    Boris A. Galanov

  3. Zoological Institute of the University of Kiel, Kiel, Germany

    Stanislav N. Gorb

  4. Faculty of Mechanics and Mathematics, Moscow State University, Moscow, 119991, Russia

    Mikhail Y. Prostov

  5. Moscow State Technical University of Radioengineering, Electronics and Automation, Moscow, 119454, Russia

    Yuriy I. Prostov

Authors
  1. Feodor M. Borodich
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  2. Boris A. Galanov
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  3. Stanislav N. Gorb
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  4. Mikhail Y. Prostov
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  5. Yuriy I. Prostov
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  6. Maria M. Suarez-Alvarez
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Correspondence to Feodor M. Borodich.

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Borodich, F.M., Galanov, B.A., Gorb, S.N. et al. Evaluation of adhesive and elastic properties of materials by depth-sensing indentation of spheres. Appl. Phys. A 108, 13–18 (2012). https://doi.org/10.1007/s00339-012-6982-7

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  • DOI: https://doi.org/10.1007/s00339-012-6982-7

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