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Analysis of nanoindentation of soft materials with an atomic force microscope

Published online by Cambridge University Press:  31 August 2011

Jacob Notbohm ,
Benny Poon  and
Guruswami Ravichandran
Jacob Notbohm
Affiliation:
Division of Engineering and Applied Science, California Institute of Technology, Pasadena, California 91125
Benny Poon
Affiliation:
Division of Engineering and Applied Science, California Institute of Technology, Pasadena, California 91125
Guruswami Ravichandran*
Affiliation:
Division of Engineering and Applied Science, California Institute of Technology, Pasadena, California 91125
*
a)Address all correspondence to this author. e-mail: ravi@caltech.edu.
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Abstract

Nanoindentation is a popular experimental technique for characterization of the mechanical properties of soft and biological materials. With its force resolution of tens of pico-Newtons, the atomic force microscope (AFM) is well-suited for performing indentation experiments on soft materials. However, nonlinear contact and adhesion complicate such experiments. This paper critically examines the application of the Johnson-Kendall-Roberts (JKR) adhesion model to nanoindentation data collected with an AFM. The use of a nonlinear least-square error-fitting algorithm to calculate reduced modulus from the nanoindentation data using the JKR model is discussed. It is found that the JKR model fits the data during loading but does not fit the data during unloading. A fracture stability analysis shows that the JKR model does not fit the data collected during unloading because of the increased stability provided by the AFM cantilever.

Keywords

AdhesionElastic propertiesNanoindentation
Type
Articles
Information
Journal of Materials Research , Volume 27 , Issue 1: Focus Issue: Instrumented Indentation , 14 January 2012 , pp. 229 - 237
Copyright
Copyright © Materials Research Society 2011

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References

REFERENCES

1.Paszek, M., Zahir, N., Johnson, K., Lakins, J., Rozenberg, G., Gefen, A., Reinhart-King, C., Margulies, S., Dembo, M., Boetiger, D., Hammer, D., and Weaver, V.: Tensional homeostasis and the malignant phenotype. Cancer Cell 8, 241 (2005).Google Scholar
2.Suresh, S., Spatz, J., Mills, J.P., Micoulet, A., Dao, M., Lim, C.T., Beil, M., and Seufferlein, T.: Connections between single-cell biomechanics and human disease states: gastrointestinal cancer and malaria. Acta Biomater. 1, 15 (2005).CrossRefGoogle ScholarPubMed
3.Ingber, D.E., Dike, L., Hansen, L., Karp, S., Liley, H., Maniotis, A., McNamee, H., Mooney, D., Plopper, G., Sims, J., and Wang, N.: Cellular tensegrity: Exploring how mechanical changes in the cytoskeleton regulate cell growth, migration, and tissue pattern during morphogenesis. Int. Rev. Cytol. 150, 173 (1994).CrossRefGoogle ScholarPubMed
4.Lo, C.M., Wang, H.B., Dembo, M., and Wang, Y.L.: Cell movement is guided by the rigidity of the substrate. Biophys. J. 79, 144 (2000).Google Scholar
5.Wong, J.Y., Velasco, A., Rajagopalan, P., and Pham, Q.: Directed movement of vascular smooth muscle cells on gradient-compliant hydrogels. Langmuir 19, 1908 (2003).CrossRefGoogle Scholar
6.Geerligs, M., van Breemen, L., Peters, G., Ackermans, P., Baaijens, F., and Oomens, C.: In vitro indentation to determine the mechanical properties of epidermis. J. Biomech. 44, 1176 (2011).CrossRefGoogle ScholarPubMed
7.Li, C., Pruitt, L.A., and King, K.B.: Nanoindentation differentiates tissue-scale functional properties of native articular cartilage. J. Biomed. Mater. Res. Part A 78A, 729 (2006).CrossRefGoogle Scholar
8.Lu, L., Oswald, S.J., Ngu, H., and Yin, F.C-P.: Mechanical properties of actin stress fibers in living cells. Biophys. J. 95, 6060 (2008).Google Scholar
9.Hutter, J.L. and Bechhoefer, J.: Calibration of atomic force microscope tips. Rev. Sci. Instrum. 64, 1868 (1993).CrossRefGoogle Scholar
10.Sirghi, L. and Rossi, F.: Adhesion and elasticity in nanoscale indentation. Appl. Phys. Lett. 89, 243118 (2006).CrossRefGoogle Scholar
11.Villarrubia, J.S.: Algorithms for scanned probe microscope image simulation, surface reconstruction, and tip estimation. J. Res. Nat. Inst. Stand. Technol. 102, 425 (1997).Google Scholar
12.Crick, S.L. and Yin, F.C-P.: Assessing micromechanical properties of cells with atomic force microscopy: Importance of the contact point. Biomech. Model. Mechanobiol. 6, 199 (2007).CrossRefGoogle ScholarPubMed
13.Cao, Y., Yang, D., and Soboyejo, W.: Nanoindentation method for determining the initial contact and adhesion characteristics of soft polydimethylsiloxane. J. Mater. Res. 20, 2004 (2005).CrossRefGoogle Scholar
14.Lin, D.C., Dimitriadis, E.K., and Horkay, F.: Robust strategies for automated AFM force curve analysis—I. Non-adhesive indentation of soft, inhomogeneous materials. J. Biomech. Eng., 129, 430 (2007).CrossRefGoogle ScholarPubMed
15.Kaufman, J.D. and Klapperich, C.M.: Surface detection errors cause overestimation of the modulus in nanoindentation on soft materials. J. Mech. Behav. Biomed. Mater. 2, 312 (2009).Google Scholar
16.Moseson, A.J., Basu, S., and Barsoum, M.W.: Determination of the effective zero point of contact for spherical nanoindentation. J. Mater. Res. 23, 204 (2008).CrossRefGoogle Scholar
17.Kalidindi, S.R. and Pathak, S.: Determination of the effective zero-point and the extraction of spherical nanoindentation stress-strain curves. Acta Mater. 56, 3523 (2008).CrossRefGoogle Scholar
18.Silberzan, P., Perutz, S., Kramer, E.J., and Chaudhury, M.K.: Study of the self-adhesion hysteresis of a siloxane elastomer using the JKR method. Langmuir. 10, 2466 (1994).CrossRefGoogle Scholar
19.Shull, K.R.: Contact mechanics and the adhesion of soft solids. Mater. Sci. Eng., R 36, 1 (2002).CrossRefGoogle Scholar
20.Meitl, M.A., Zhu, Z-T., Kumar, V., Lee, K.J., Feng, X., Huang, Y.Y., Adesida, I., Nuzzo, R.G., and Rogers, J.A.: Transfer printing by kinetic control of adhesion to an elastomeric stamp. Nat. Mater. 5, 33 (2006).CrossRefGoogle Scholar
21.Johnson, K.L., Kendall, K., and Roberts, A.D.: Surface energy and contact of elastic solids. Proc London, Ser. A. Adv. Math. Phys. 324, 301 (1971).Google Scholar
22.Hertz, H.: Üeber die berührung fester elastischer körper. J. Reine Angew. Math. 92, 156 (1881).Google Scholar
23.Maugis, D.: Contact, Adhesion and Rupture of Elastic Solids (Springer, Berlin, Germany, 2000), p. 141, 264–272.Google Scholar
24.Sneddon, I.A.: The relation between load and penetration in the axisymmetric Boussinesq problem for a punch of arbitrary profile. Int. J. Eng. Sci. 3, 47 (1965).CrossRefGoogle Scholar
25.Maugis, D.: Extension of the Johnson-Kendall-Roberts theory of the elastic contact of spheres to large contact radii. Langmuir. 11, 679 (1995).CrossRefGoogle Scholar
26.Anderson, T.L.: Fracture Mechanics: Fundamentals and Applications, 3rd ed. (Taylor & Francis Group, Boca Raton, FL, 2005), pp. 91–92.Google Scholar