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Characterization of materials' elasticity and yield strength through micro-/nano-indentation testing with a cylindrical flat-tip indenter

Published online by Cambridge University Press:  06 February 2015

Zhong Hu ,
Kevin Lynne  and
Fereidoon Delfanian
Zhong Hu*
Affiliation:
Department of Mechanical Engineering, South Dakota State University, Brookings, South Dakota 57007, USA
Kevin Lynne
Affiliation:
Department of Mechanical Engineering, South Dakota State University, Brookings, South Dakota 57007, USA
Fereidoon Delfanian
Affiliation:
Department of Mechanical Engineering, South Dakota State University, Brookings, South Dakota 57007, USA
*
a)Address all correspondence to this author. e-mail: [email protected]
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Abstract

Material property measurements at the micro-/nanoscale are required for within many materials systems, such as thin-films, coatings, nanostructured materials, and interface/interphase. An innovative approach through micro-/nano-indentation testing with a cylindrical flat-tip indenter and coupled with computer modeling was proposed to characterize the material's elastic–plastic properties. A mechanical model proposed for directly extracting the yield strength of the tested materials, based on the hemi-spherical stress–strain distribution assumption, was analytically derived and numerically validated. Specimens being tested are aluminum alloy, low carbon steel, and alloy steel. A micro-/nano-indentation solid model was constructed and computer modeling was conducted. The load point in the indentation load–depth curve and the modifier for extracting the yield strength were identified through computer modeling and validated by indentation tests. The material properties measured by indentation were compared with tensile tests. The indentation testing errors induced by residual stresses in specimens were investigated by a residual stress measurement system.

Keywords

micro-/nano-indentationfinite element analysisyield strengthcylindrical flat-tip indenter
Type
Articles
Information
Journal of Materials Research , Volume 30 , Issue 4 , 28 February 2015 , pp. 578 - 591
Copyright
Copyright © Materials Research Society 2015 

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References

REFERENCES

Fischer-Cripps, A.C.: Nanoindentation, 3rd ed. (Springer, New York, 2011).Google Scholar
Fischer-Cripps, A.C.: The IBIS Handbook of Nanoindentation (Fischer-Cripps Laboratories Pty Ltd, Forestville, Australia, 2009).Google Scholar
American Society for Testing and Materials: ASTM E2546-07 Standard Practice for Instrumented Indentation Testing (ASTM International, West Conshohocken, PA, 2007).Google Scholar
Szilágyi, K., Borosnyói, A., and Zsigovics, I.: Surface hardness and related properties of concrete. Concr. Struct. 12, 51–57 (2010).Google Scholar
Hertz, H.: Über die Berührung fester elastischer Körper. J. Reine. Angew. Math. 5, 12–23 (1881).Google Scholar
Brinell, J.A.: Mémoire sur les épreaves á bille en acier, II. Cong. Int. Methodes d′Essai, A. Wahlberg, Paris, 1900.Google Scholar
Fischer-Cripps, A.C.: Introduction to Contact Mechanics, 2nd ed. (Springer, New York, 2007).Google Scholar
Zhang, P., Li, S.X., and Zhang, Z.F.: General relationship between strength and hardness. Mater. Sci. Eng., A 529, 63–67 (2011).Google Scholar
Tabor, D.: Hardness of Metals (Clarendon Press, Oxford, UK, 1951).Google Scholar
Mott, B.W.: Micro-Indentation Hardness Testing (Butterworths, London, 1956).Google Scholar
Bauccio, M.: ASM Metals Reference Book (ASM International, Materials Park, OH, 1993).Google Scholar
International Organization for Standardization: ISO/DIS 14577-1, Metallic Materials—Instrumented Indentation Test for Hardness and Materials Parameters—Part 1: Test Method, 2002.Google Scholar
Datsko, J.: Material Properties and Manufacturing Processes (Wiley, New York, 1966).Google Scholar
Datsko, J.: Materials in Design and Manufacturing (Malloy, Ann Arbor, Michigan, 1977).Google Scholar
Ramaekers, J.A.H. and Veenstra, P.C.: The relation between effective deformation and micro-hardness in a state of large plastic deformation. CIRP Ann. XVIII, 541 (1970).Google Scholar
Pharr, G.M., Oliver, W.C., and Brotzen, F.R.: On the generality of the relationship among contact stiffness, contact area, and elastic modulus during indentation. J. Mater. Res. 7(3), 613 (1992).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(6), 1564 (1992).Google Scholar
Oliver, W.C. and Pharr, G.M.: Measurement of hardness and elastic modulus by instrumented indentation: Advances in understanding and refinement to methodology. J. Mater. Res. 19(1), 3 (2004).Google Scholar
Wright, S.C., Huang, Y., and Fleck, N.A.: Deep penetration of polycarbonate by a cylindrical punch. Mech. Mater. 13, 277 (1992).Google Scholar
Cheng, L., Xia, X., Yu, W., Scriven, L.E., and Gerberich, W.W.: Flat-punch indentation of viscoelastic material. J. Polym. Sci., Part B: Polym. Phys. 38, 10 (2000).Google Scholar
Eldridge, J.I., Zhu, D., and Miller, R.A.: Mesoscopic nonlinear elastic modulus of thermal barrier coatings determined by cylindrical punch indentation. J. Am. Ceram. Soc. 84(11), 2737 (2001).Google Scholar
Xu, B.X., Zhao, B., and Yue, Z.F.: Finite element analysis of the indentation stress characteristics of the thin film/substrate systems by flat cylindrical indenters. Materialwiss. Werkstofftech. 37(8), 681 (2006).CrossRefGoogle Scholar
Gisario, A., Barletta, M., and Boschetto, A.: Characterization of laser treated steels using instrumented indentation by cylindrical flat punch. Surf. Coat. Technol. 202, 2557 (2008).Google Scholar
Lu, Y.C. and Shinozaki, D.M.: Characterization and modeling of large displacement micro/nano-indentation of polymeric solids. J. Eng. Mater. Technol. 130(4), 041001 (2008).Google Scholar
Lu, Y.C., Kurapati, S.N.V.R.K., and Yang, F.: Finite element analysis of cylindrical indentation for determining plastic properties of materials in small volumes. J. Phys. D: Appl. Phys. 41, 115415 (2008).Google Scholar
Slaboch, C.L. and Ovaert, T.: Mechanical characterization and simulation of murine thrombi. Presented at ASME 2011 Summer Bioengineering Conference, Parts A and B, Farmington, Pennsylvania, 783–784, June 22–25, 2011; Paper No. SBC2011-53190.Google Scholar
Hu, Z., Lynne, K.J., Markondapatnaikuni, S.P., and Delfanian, F.: Material elastic-plastic property characterization by nanoindentation testing coupled with computer modeling. Mater. Sci. Eng., A 587, 268 (2013).Google Scholar
Kashani, M.S.: Sources of error in relating nanoindentation results to material properties. Ph.D. Thesis, Wichita State University, 2010.Google Scholar
Strange, D.J. and Varshneya, A.K.: Finite element simulation of microindentation on aluminum. J. Mater. Sci. 36(8), 1943 (2001).Google Scholar
Laursen, T.A. and Simo, J.C.: A study of the mechanics of microindentation using finite elements. J. Mater. Res. 7(3), 618 (1992).Google Scholar
Panich, N.: Nanoindentation of silicon (100) studied by experimental and finite element method. KMUTT Research & Development Journal 27(3), 271(2004).Google Scholar
Poon, P.C.B.: A critical appraisal of nanoindentation with application to elastic-plastic solids and soft materials. Ph.D. Thesis, California Institute of Technology, Pasadena, California, 2009.Google Scholar
Huang, X. and Pelegri, A.A.: Mechanical characterization of thin film materials with nanoindentation measurement and finite element analysis. J. Compos. Mater. 40(15), 1393 (2006).Google Scholar
Chen, F.Y., Chang, R.C., and Chen, L.H.: Determining the plastic-viscoplastic mechanical properties of thin films by nanoindentation and finite element method. In Proceedings of the Seventh International Congress on Thermal Stresses, TS2007, Taipei, Taiwan, June 4–7, 2007.Google Scholar
Song, H.: Selected mechanical problems in load and depth sensing indentation testing. Ph.D. Thesis, Rice University, Houston, Texas, 1999.Google Scholar
Liu, Z., Harsono, E., and Swaddiwudhipong, S.: Material characterization based on instrumented and simulated indentation tests. Int. J. Appl. Mech. 1(1), 61 (2009).Google Scholar
Harsono, E.: Material characterization via simulated indentation test including effect of friction. Ph.D. Thesis, National University of Singapore, 2009.Google Scholar
Fang, T.H., Jian, S.R., and Chuu, D.S.: Nanomechanical properties of TiC, TiN and TiCN thin films using scanning probe microscopy and nanoindentation. Appl. Surf. Sci. 228, 365 (2004).Google Scholar
Schuh, C.A.: Nanoindentation studies of materials. Mater. Today 9(5), 32 (2006).Google Scholar
Panich, N. and Yong, S.: Improved method to determine the hardness and elastic moduli using nano-indentation. KMITL Sci. J. 5(2), 483 (2005).Google Scholar
Li, H. and Vlassak, J.J.: Determining the elastic modulus and hardness of an ultrathin film on a substrate using nanoindentation. J. Mater. Res. 24(3), 1114 (2009).Google Scholar
Bhushan, B.: Handbook of Micro/Nano Tribology, 2nd ed. (CRC Press, Boca Raton, Florida, 1999), p. 433.Google Scholar
Bhushan, B. and Li, X.: Nanomechanical characterization of solid surfaces and thin films. Int. Mater. Rev. 48(3), 125 (2003).Google Scholar
Wang, X.H., Jacobsen, S., He, J.Y., Zhang, Z.L., Lee, S.F., and Lein, H.L.: Application of nanoindentation testing to study of the interfacial transition zone in steel fiber reinforced mortar. Cem. Concr. Res. 39(8), 701 (2009).Google Scholar
Huang, X.: Mechanical characterization of thin film materials with nanoindentation measurement and finite element analysis. Ph.D. Thesis, Rutgers, The State University of New Jersey, 2005.Google Scholar
Tadmor, E.B., Miller, R., Phillips, R., and Ortiz, M.: Nanoindentation and incipient plasticity. J. Mater. Res. 14(6), 2233 (1999).Google Scholar
Minor, A.M., Asif, S.A.S., Shan, Z., Stach, E.A., Cyrankowski, E., Thomas, J., Wyrobek, T.J., and Warren, O.L.: A new view of the onset of plasticity during the nanoindentation of aluminum. Nat. Mater. 5, 697 (2006).Google Scholar
Feng, Z.Q., He, Q.C., Zeng, Q.F., and Joli, P.: Theory of nanoindentation. In Handbook of Nanophysics, Sattler, K. ed. (Taylor & Francis, Boca Raton, FL, 2010); pp.26-1-26-15.Google Scholar
Lund, A.C., Hodge, A.M., and Schuh, C.A.: Incipient plasticity during nanoindentation at elevated temperatures. Appl. Phys. Lett. 85(8), 1362 (2004).Google Scholar
Swaddiwudhipong, S., Poh, L.H., Hua, J., Liu, Z.S., and Tho, K.K.: Modeling nano-indentation tests of glassy polymers using finite elements with strain gradient plasticity. Mater. Sci. Eng., A 404, 179 (2005).Google Scholar
Guo, J.J., Wang, K., Fujita, T., McCauley, J.W., and Singh, J.P.: Nanoindentation characterization of deformation and failure of aluminum oxynitride. Acta Mater. 59, 1671 (2011).Google Scholar
Poon, B., Rittel, D., and Ravichandran, G.: An analysis of nanoindentation in elasto-plastic solids. Int. J. Solids Struct. 45(25–26), 6399 (2008).Google Scholar
Wang, J. and Ovaert, T.C.: Computational mechanical property determination of viscoelastic/plastic materials from nanoindentation creep test data. J. Mater. Res. 24(3), 1245 (2009).Google Scholar
Shan, Z. and Sitaraman, S.K.: Elastic-plastic characterization of thin films using nanoindentation technique. Thin Solid Films 437, 176 (2003).Google Scholar
Zhang, C.: Characterization of the mechanical properties of visco-elastic and visco-elastic-plastic materials by nanoindentation tests. Ph.D. Thesis, Tongji University, Shanghai, China, 2007.Google Scholar
Jiang, L.M., Zhou, Y.C., and Huang, Y.L.: Elastic-plastic properties of thin film on elastic-plastic substrates characterized by nanoindentation test. Trans. Nonferrous Met. Soc. China 20(12), 2345 (2010).Google Scholar
Sneddon, I.N.: Boussinesq’s problem for a flat-ended cylinder. Math. Proc. Cambridge Philos. Soc. 42(1), 29 (1946).Google Scholar
Harding, J.W. and Sneddon, I.N.: The elastic stresses produced by the indentation of the plane surface of a semi-infinite elastic solid by a rigid punch. Math. Proc. Cambridge Philos. Soc. 41(1), 16 (1945).Google Scholar
Barquins, M. and Maugis, D.: Adhesive contact of axisymmetric punches on an elastic half-space: The modified Hertz-Huber stress tensor for contacting spheres. J. Mec. Theor. Appl. 1(2), 331 (1982).Google Scholar
Cheng, Y.T. and Cheng, C.M.: Scaling, dimensional analysis, and indentation measurements. Mater. Sci. Eng., R 44, 91 (2004).Google Scholar
Hill, R.: The Mathematical Theory of Plasticity, 2nd ed. (Clarendon Press, Oxford, UK, 1950).Google Scholar
Timoshenko, S.: Theory of Elasticity (Mc Graw Hill, New York, 1934).Google Scholar
American Society for Testing and Materials: ASTM E8/E8M-11 Standard Test Methods for Tension Testing of Metallic Materials (ASTM International, 2011).Google Scholar
ANSYS Inc.: ANSYS theory reference manual—ANSYS version14.5, 2013.Google Scholar
Johnson, K.L.: The correlation of indentation experiments. J. Mech. Phys. Solids 18(2), 115 (1970).Google Scholar
Yurkov, A.L., Skvortsov, V.N., Buyanovsky, I.A., and Matvievsky, R.M.: Sliding friction of diamond on steel, sapphire, alumina and fused silica with and without lubricants. J. Mater. Sci. Lett. 16(16), 1370 (1997).Google Scholar