Hostname: page-component-8448b6f56d-sxzjt Total loading time: 0 Render date: 2024-04-23T17:24:39.580Z Has data issue: false hasContentIssue false

A multi-indent approach to detect the surface of soft materials during nanoindentation

Published online by Cambridge University Press:  30 August 2016

Jie Wei
Affiliation:
Department of Mechanical Science and Engineering, University of Illinois at Urbana-Champaign, Urbana, IL 61801, United States
Barbara L. McFarlin
Affiliation:
Department of Women Children and Family Health Science, University of Illinois College of Nursing, Chicago, IL 60612, United States
Amy J. Wagoner Johnson*
Affiliation:
Department of Mechanical Science and Engineering, University of Illinois at Urbana-Champaign, Urbana, IL 61801, United States
*
a) Address all correspondence to this author. e-mail: ajwj@illinois.edu
Get access

Abstract

There is growing interest in using instrumented indentation to characterize mechanical properties of soft materials, including tissue properties related to damage and disease. However, sample surface detection has been a major challenge. The multi-indent approach (MIA) is a novel method to indirectly detect the surface using data from multiple indents to determine the preload-induced indentation depth. Elastic modulus and shear modulus determined by MIA were equivalent to bulk measurements for 19 and 49 kPa gels. However, the traditional Oliver–Pharr approach significantly overestimated these properties. MIA is also important to accurate characterization of poroelastic properties and allows for much smaller probes and indentation depths to be used for all measurements. This is particularly important for poroelasticity, where the relaxation time scales with the size of the indenter. The novel approach helps to resolve the long-standing challenge of surface detection and has the potential to broaden the use of instrumented indentation for soft materials.

Type
Articles
Copyright
Copyright © Materials Research Society 2016 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

Galli, M., Fornasiere, E., Cugnoni, J., and Oyen, M.L.: Poroviscoelastic characterization of particle-reinforced gelatin gels using indentation and homogenization. J. Mech. Behav. Biomed. Mater. 4, 610617 (2011).Google Scholar
Kalcioglu, Z.I., Mahmoodian, R., Hu, Y., Suo, Z., and Van Vliet, K.J.: From macro- to microscale poroelastic characterization of polymeric hydrogels via indentation. Soft Matter 8, 3393 (2012).CrossRefGoogle Scholar
Chhetri, D.K., Zhang, Z., and Neubauer, J.: Measurement of Young's modulus of vocal folds by indentation. J. Voice 25, 17 (2011).CrossRefGoogle ScholarPubMed
Fischer Cripps, A.C.: Fischer Cripps Indentation Book (Springer-Verlag, New York, 2004).Google Scholar
Hu, Y., Zhao, X., Vlassak, J.J., and Suo, Z.: Using indentation to characterize the poroelasticity of gels. Appl. Phys. Lett. 96, 121904 (2010).Google Scholar
Ebenstein, D.M. and Pruitt, L.A.: Nanoindentation of biological materials. Nano Today 1, 2633 (2006).Google Scholar
Heris, H.K., Miri, A.K., Tripathy, U., Barthelat, F., and Mongeau, L.: Indentation of poroviscoelastic vocal fold tissue using an atomic force microscope. J. Mech. Behav. Biomed. Mater. 28, 383392 (2013).CrossRefGoogle ScholarPubMed
Ebenstein, D.M. and Wahl, K.J.: A comparison of JKR-based methods to analyze quasi-static and dynamic indentation force curves. J. Colloid Interface Sci. 298, 652662 (2006).Google Scholar
Paietta, R.C., Campbell, S.E., and Ferguson, V.L.: Influences of spherical tip radius, contact depth, and contact area on nanoindentation properties of bone. J. Biomech. 44, 285290 (2011).Google Scholar
Strange, D.G.T., Fletcher, T.L., Tonsomboon, K., Brawn, H., Zhao, X., and Oyen, M.L.: Separating poroviscoelastic deformation mechanisms in hydrogels. Appl. Phys. Lett. 102, 37 (2013).CrossRefGoogle Scholar
Buffinton, C.M., Tong, K.J., Blaho, R.A., Buffinton, E.M., and Ebenstein, D.M.: Comparison of mechanical testing methods for biomaterials: Pipette aspiration, nanoindentation, and macroscale testing. J. Mech. Behav. Biomed. Mater. 51, 367379 (2015).Google Scholar
Oyen, M.L.: Analytical techniques for indentation of viscoelastic materials. Philos. Mag. 86, 56255641 (2006).CrossRefGoogle Scholar
Hauch, K.N., Oyen, M.L., Odegard, G.M., and Haut Donahue, T.L.: Nanoindentation of the insertional zones of human meniscal attachments into underlying bone. J. Mech. Behav. Biomed. Mater. 2, 339347 (2009).Google Scholar
Gupta, S., Lin, J., Ashby, P., and Pruitt, L.: A fiber reinforced poroelastic model of nanoindentation of porcine costal cartilage: A combined experimental and finite element approach. J. Mech. Behav. Biomed. Mater. 2, 326337; discussion 337–8 (2009).Google Scholar
Li, C., Allen, J., Alliston, T., and Pruitt, L.A.: The use of polyacrylamide gels for mechanical calibration of cartilage–A combined nanoindentation and unconfined compression study. J. Mech. Behav. Biomed. Mater. 4, 15401547 (2011).CrossRefGoogle ScholarPubMed
Farine, M.: Instrumented indentation of soft materials and biological tissues. Ph.D. dissertation, ETH, Zurich, 2013.Google Scholar
Yao, W., Yoshida, K., Fernandez, M., Vink, J., Wapner, R.J., Ananth, C.V., and Oyen, M.L.: Measuring the compressive viscoelastic mechanical properties of human cervical tissue using indentation. J. Mech. Behav. Biomed. Mater. 34, 1826 (2014).Google Scholar
Slaboch, C.L., Alber, M.S., Rosen, E.D., and Ovaert, T.C.: Mechano-rheological properties of the murine thrombus determined via nanoindentation and finite element modeling. J. Mech. Behav. Biomed. Mater. 10, 7586 (2012).Google Scholar
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, 312317 (2009).Google Scholar
Wald, M.J., Considine, J.M., and Turner, K.T.: Indentation measurements on soft materials using optical surface deformation measurements. Mech. Biol. Syst. 4, 4151 (2014).Google Scholar
Li, X. and Bhushan, B.: A review of nanoindentation continuous stiffness measurement technique and its applications. Science 48, 1136 (2002).Google Scholar
Oliver, W.C. and Pharr, G.M.: An improved technique for determining hardness and elastic modulus using load and displacement sensing indentation experiments. J. Mater. Res. 7, 15641583 (2011).Google Scholar
Oliver, W.C. and Pharr, G.M.: Measurement of hardness and elastic modulus by instrumented indentation: Advances in understanding and refinements to methodology. J. Mater. Res. 19, 320 (2004).Google Scholar
Poon, B., Rittel, D., and Ravichandran, G.: An analysis of nanoindentation in linearly elastic solids. Int. J. Solids Struct. 45, 60186033 (2008).Google Scholar
Kohn, J.C. and Ebenstein, D.M.: Eliminating adhesion errors in nanoindentation of compliant polymers and hydrogels. J. Mech. Behav. Biomed. Mater. 20, 316326 (2013).CrossRefGoogle ScholarPubMed
Hui, C-Y. and Muralidharan, V.: Gel mechanics: A comparison of the theories of Biot and Tanaka, Hocker, and Benedek. J. Chem. Phys. 123, 154905 (2005).Google Scholar
Hu, Y., Chan, E.P., Vlassak, J.J., and Suo, Z.: Poroelastic relaxation indentation of thin layers of gels. J. Appl. Phys. 110, 1316 (2011).CrossRefGoogle Scholar
Galli, M. and Oyen, M.L.: Fast identification of poroelastic parameters from indentation tests. CMES - Comput. Model. Eng. Sci. 48, 241269 (2009).Google Scholar
Chan, E.P., Hu, Y., Johnson, P.M., Suo, Z., and Stafford, C.M.: Spherical indentation testing of poroelastic relaxations in thin hydrogel layers. Soft Matter 8, 1492 (2012).CrossRefGoogle Scholar
Cai, S., Hu, Y., Zhao, X., and Suo, Z.: Poroelasticity of a covalently crosslinked alginate hydrogel under compression. J. Appl. Phys. 108, 18 (2010).Google Scholar
Poellmann, M.J. and Wagoner Johnson, A.J.: Characterizing and patterning polyacrylamide substrates functionalized with N-hydroxysuccinimide. Cell. Mol. Bioeng. 6, 299309 (2013).CrossRefGoogle Scholar
Poellmann, M.J. and Wagoner Johnson, A.J.: Multimaterial polyacrylamide: Fabrication with electrohydrodynamic jet printing, applications, and modeling. Biofabrication 6, 035018 (2014).Google Scholar
Iivarinen, J.T., Korhonen, R.K., and Jurvelin, J.S.: Experimental and numerical analysis of soft tissue stiffness measurement using manual indentation device—Significance of indentation geometry and soft tissue thickness. Skin Res. Technol. 20, 347354 (2014).Google Scholar
Selby, A., Maldonado-Codina, C., and Derby, B.: Influence of specimen thickness on the nanoindentation of hydrogels: Measuring the mechanical properties of soft contact lenses. J. Mech. Behav. Biomed. Mater. 35, 144156 (2014).Google Scholar
Wang, Q.M., Mohan, A.C., Oyen, M.L., and Zhao, X.H.: Separating viscoelasticity and poroelasticity of gels with different length and time scales. Acta Mech. Sin. 30, 2027 (2014).Google Scholar
Guglielmi, P.O., Herbert, E.G., Tartivel, L., Behl, M., Lendlein, A., Huber, N., and Lilleodden, E.T.: Mechanical characterization of oligo(ethylene glycol)-based hydrogels by dynamic nanoindentation experiments. J. Mech. Behav. Biomed. Mater. 46, 110 (2015).Google Scholar
Chippada, U., Yurke, B., and Langrana, N.A.: Simultaneous determination of Young's modulus, shear modulus, and Poisson's ratio of soft hydrogels. J. Mater. Res. 25, 545555 (2010).Google Scholar
Johnson, K.L., Kendall, K., and Roberts, A.D.: Surface energy and the contact of elastic solids. Proc. R. Soc. A 324, 301313 (1971).Google Scholar
Derjaguin, B.V., Muller, V.M., and Toporov, Y.P.: Effect of contact deformation on the adhesion of particles. Exp. Brain Res. 159, 360369 (2004).Google Scholar
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, 430440 (2007).Google Scholar
Sneddon, I.N.: The relation between load and penetration in the axisymmetric boussinesq problem for a punch of arbitrary profile. Int. J. Eng. Sci. 3, 4757 (1965).CrossRefGoogle Scholar
Hu, Y., Chen, X., Whitesides, G.M., Vlassak, J.J., and Suo, Z.: Indentation of polydimethylsiloxane submerged in organic solvents. J. Mater. Res. 26, 785795 (2011).Google Scholar
Clausner, A. and Richter, F.: Fundamental limitations at the determination of initial yield stress using nano-indentation with spherical tips. Eur. J. Mech. A-Solid 58, 6975 (2016).Google Scholar
Huang, Q.Q., Song, Y., Liu, W.W., Chen, Y., Qi, F., Zhao, D., and Wang, Y.G.: Spherical indentation with multiple partial unloading for assessing the mechanical properties of ZrB2–SiC composites. Ceram. Int. 41, 1234912354 (2015).Google Scholar