Atomic Force Microscopy pp 281-290 | Cite as
Quantification of the Elastic Properties of Soft and Sticky Materials Using AFM
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Abstract
Indentation Type-AFM (IT-AFM) is very useful to analyze the local rheological properties of soft or biological materials. However, analysis of the force-indentation curves is very sensitive to the way the curves are fitted: fits with elastic models such as Hertz or Sneddon’s models performed on parts of the curve that indeed correspond to nonlinear elastic regimes, or that result from significant adhesive interactions of the AFM tip with the material lead to results that can be as much as twice larger than fits performed with appropriate models (nonlinear or adhesive).
Here, we propose a methodology to address rigidity measurements by fitting parts of the force-indentation curves that correspond to the linear elastic response of the material, even in the presence of adhesion. The major contribution of this methodology is to set up an easy-handling criterion to mark out the linear elastic response to indentation, valid either for purely elastic and elasto-adhesive models.
Key words
AFM Mechanics Rigidity Elasticity Adhesion Elasto-adhesive models Hertz JKR DMT SneddonNotes
Acknowledgments
The authors acknowledge the support by ANR-12-JSVE05-0008. The authors are indebted to the AFM platform of the Interdisciplinary Laboratory of Physics, Grenoble, France, for their hosting.
References
- 1.Lin DC, Dimitriadis EK, Horkay F (2007) Elasticity of rubber-like materials measured by AFM nanoindentation. Express Polym Lett 1:576–584CrossRefGoogle Scholar
- 2.Cappella B, Dietler G (1999) Force-distance curves by atomic force microscopy. Surf Sci Rep 34:1–104CrossRefGoogle Scholar
- 3.Cappella B, Kaliappan SK, Sturm H (2005) Using AFM force-distance curves to study the glass-to-rubber transition of amorphous polymers and their elastic-plastic properties as a function of temperature. Macromolecules 38:1874–1881CrossRefGoogle Scholar
- 4.Bouchonville N, Meyer M, Gaude C, Gay E, Ratel D, Nicolas A (2016) AFM mapping of the elastic properties of brain tissue reveals kPa/μm gradients of rigidity. Soft Matter 12:6232–6239CrossRefGoogle Scholar
- 5.Lin DC, Dimitriadis EK, Horkay F (2007) Robust strategies for automated AFM force curve analysis—I Non-adhesive indentation of soft, inhomogeneous materials. J Biomech Eng 129:430–440CrossRefGoogle Scholar
- 6.Lin DC, Dimitriadis EK, Horkay F (2007) Robust strategies for automated AFM force curve analysis—II: adhesion-influenced indentation of soft, elastic materials. J Biomech Eng 129:904–912CrossRefGoogle Scholar
- 7.Johnson KL, Kendall K, Roberts AD (1971) Surface energy and the contact of elastic solids. Proc R Soc London Ser A 324:301–313CrossRefGoogle Scholar
- 8.Derjaguin B, Muller V, Toporov Y (1975) Effect of contact deformations on the adhesion of particles. J Colloid Interface Sci 53:314–326CrossRefGoogle Scholar
- 9.Oliver WC, Pharr GM (1992) An improved technique for determining hardness and elastic modulus using load and displacement sensing indentation experiments. J Mater Res 7:1564–1583CrossRefGoogle Scholar
- 10.Lin DC, Horkay F (2008) Nanomechanics of polymer gels and biological tissues: a critical review of analytical approaches in the Hertzian regime and beyond. Soft Matter 4:669–682CrossRefGoogle Scholar
- 11.Sirghi L, Rossi F (2006) Adhesion and elasticity in nanoscale indentation. Appl Phys Lett 89:243118–243118-3CrossRefGoogle Scholar
- 12.Sirghi L, Ponti J, Broggi F, Rossi F (2008) Probing elasticity and adhesion of live cells by atomic force microscopy indentation. Eur Biophys J 37:935–945CrossRefGoogle Scholar
- 13.Sun Y, Akhremitchev B, Walker GC (2004) Using the adhesive interaction between atomic force microscopy tips and polymer surfaces to measure the elastic modulus of compliant samples. Langmuir 20:5837–5845CrossRefGoogle Scholar
- 14.Domke J, Radmacher M (1998) Measuring the elastic properties of thin polymer films with the atomic force microscope. Langmuir 14:3320–3325CrossRefGoogle Scholar