[1]
Sanjabi, S., “Study of TiNi Thin Film Mechanical Properties by Nanoindentation Mehod,” In Persian, 7th Iranian Seminar on Surface Engineering, Isfahan, IRAN, 2006.
|
[2]
|
Cheng, Y.T. and Cheng, C. M., “Can Stress–Strain Relationships be Obtained From Indentation Curves Using Conical and Pyramidal Indenter,” J. MATERIALS RESEARCH, Vol. 14, pp. 9, 1999.
|
[3]
|
Ashrafi, H. and Shariyat, M., “Modeling of Viscoelastic Properties for Polymeric Thin Solid Layers using a Contact Nanoindentation Approach", In Persian, Iranian Journal of Surface Science and Technology, Vol. 14, pp. 17-26, 2011.
|
[4]
|
Lawn, B.R., Fracture of Brittle Solids, 2nd edn., Cambridge, UK: Cambridge University Press, 1993.
|
[5]
|
Olivier, W.C. and Pharr, W.C., “An Improved Technique for Determining Hardness and Elastic Modulus Using Load and Displacement Sensing Indentation Experiments,” Journal of Materials Research, Vol. 7. pp. 1564–1583, 1992.
|
[6]
|
Cheng, Y. T. and Cheng, C. M., “Scaling, Dimensional Analysis, and Indentation Measurements. ,” Materials Science and Engineering, Vol. 44. pp. 91–149, 2004.
|
[7]
|
Giannakopoulos, A. E., Larsson, P. L. and Vester, R., “Analysis of Vickers Indendation,” Int. j. Solids Structures, Vol. 31, No. 19, pp. 2679-2708, 1994.
|
[8]
|
Dao, M., Chollacoop, N., Van Vliet, K. J., Venkatesh, T.A. and Suresh, S., “Computational Modeling of the Forward and Reverse Problems in Instrumented Shrps Indentation,” Acta mater., Vol. 49, PP. 3899-3918, 2001.
|
[9]
|
Giannakopoulos, A. E. and Suresh, S., “Determination of Elastoplastic Properties by Instrumented sharp Indentation,” Scripta Materialia, Vol. 40, No. 10, pp. 1191–1198, 1999.
|
[10]
|
Suresh, S., Giannakopoulos, A. E. and Alcala, J., “Spherical Indentation of Compositionally Graded Materials: Theory and Experiments,” Acta materialia, Vol. 45, No. 4, pp. 1307-1321, 1997.
|
[11]
|
Doerner, M.F. and Nix, W.D., “A Method for Interpreting the Data From Depth-Sensing Indentation Instruments,” J. Mater. Res., Vol. 1, pp.601, 1986.
|
[12]
|
Sneddon, I.N., “The relation Between Load and Penetration in the Axisymmetric Bousinesq Problem for a Punch of Arbitrary Profile,” International Journal of Engineering Science, Vol. 3, pp. 47-57, 1965.
|
[13]
|
Suresh, S. and Giannakopoulos, A. E., “Report Inst-2/98,” Massachusetts Institute of Technology, 1998.
|
[14]
|
Stauss, S., Schwaller, P., Bucaille, JL., Rabe, R. and Rohr, L., “Determining the Stress-Strain Behaviour of Small Devices by Nanoindentation in Combination with Inverse Methods,” Microelectron Eng., Vol. 67-68, pp. 818–825, 2003.
|
[15]
|
Heinrich, C., Waas, A.M. and Wineman, A.S., “Determination of Material Properties Using Nanoindentation and Multiple Indenter Tips,” International Journal of Solids and Structures, Vol. 46, pp. 364–376, 2009.
|
[16]
|
Antunes, J. M., Fernandes, J. V., Menezes, L. F. and Chaparro, B. M., “A New Approach for Reverse Analyses in Depth-Sensing Indentation Using Numerical Simulation,” Acta Materialia, Vol. 55, pp. 69–81, 2007.
|
[17]
|
Fischer-Cripps, A.C.,"Nanoindentation", Third ed., New York: Springer, 2011.
|
[18]
|
Pelletier, H., Krier, J., Cornet, A. and Mille, P., “Limits of Using Bilinear Stress strain Curve for Finite Element Modeling of Nanoindentation Response on Bulk Materials,” Thin Solid Films, Vol. 379, pp. 147-155, 2000.
|
[19]
|
Lichinchi, M., Lenardi, C., Haupt, J. and Vitali, R., “Simulation of Berkovich Nanoindentation Experiment on Thin Films Using the Finite Element Method,” Thin Solid Films, Vol. 312, pp. 240–248, 1998.
|
[20]
|
Patel, D.K. and Kalidindi, S.R., “Correlation of Spherical Nanoindentation Stress-Strain Curves to Simple Compression Stress-Strain Curves for Eelastic-Plastic Isotropic Materials Using Finite Element Models,” Acta Materialia, Vol. 112, pp. 295-302, 2016.
|
[21]
|
pelletier, H., “Predictive Model to Estimate the Stress–Strain Curves of Bulk Metals Using Nanoindentation,” Tribology International Vol. 39, pp.593–606, 2006.
|
[22]
|
Guillonneau, G., Kermouche, G., Bec, S. and Loubet, J., “Determination of Mechanical Properties by Nanoindentation Independently of Indentation Depth Measurement,” Journal of Materials Research, Cambridge University Press (CUP), Vol. 27, pp.2551-2560, 2012.
|
[23]
|
Su, C. and Anand, L., “Plane Strain Indentation of a Zr Based Metallic Glass: Experiments and Numerical Simulation,” Acta Mater., Vol. 54, pp. 179–189, 2006.
|
[24]
|
Misra, RDK., Venkatsurya, P., Wu, KM. and Karjalaine, LP., “Ultrahigh Strength Martensite-Austenite Dual-Phase Steels with Ultrafine Structure: the Response to Indentation Experiments,” Mater. Sci. Eng. A, Vol. 560, pp. 693–699, 2013.
|
[25]
|
Karimzadeh, A., Ayatollahi, M. R. and Alizadeh, M., “Finite Element Simulation of Nano-Indentation Experiment on Aluminum 1100,” Computational Materials Science, Vol. 81, pp. 595–600, 2014.
|
[26]
|
Vaidyanathan, R., Dao, M., Ravichandran, G. and Suresh, S., “Study of Mechanical Deformation in Bulk Metallic Glass Through Instrumented Indentation,” Acta Mater., Vol. 49, pp. 3781–3789, 2001.
|
[27]
|
Kang, JJ., Becker, AA. and Sun, W., “Determining Elasticplastic Properties From Indentation Data Obtained From Finite Element Simulations and Experimental Results,” Int. J. Mech. Sci., Vol. 62, pp. 34-46, 2012.
|
[28]
|
Antunes, JM., Menezes, LF. and Fernandes, JV., “Three-Dimensional Numerical Simulation of Vickers Indentation Tests,” Int. J. Solids Struct., Vol. 43, pp. 784–806, 2006.
|
[29]
|
Ashrafi, H., Meraji, M. and Farid, M., “A Three Dimensional Finite Element Modeling of Nanoindentation for Solid Surfaces and Thin Films,” In Persian, 10th Iranian Seminar on Surface Engineering, Isfahan, IRAN, 2009.
|
[30]
|
J. Malzbender, “Indentation Load-displacement Plastic Deformation, and Energy,” J. Mater. Res., Vol. 17, pp. 502–511, 2002.
|
[31]
|
Sakharova, NA., Fernandes, JV., Antunes, JM. and Oliveira, M., “Comparison Between Berkovich, Vickers and Conical Indentation Tests: a Three-Dimensional Numerical Simulation Study,” Int. J. Solids Struct., Vol. 46, pp. 1095–1104, 2009.
|
[32]
|
Gerberich, W.W, Yu. W., Bahr, D., Nelson, J., Lilleodden, E., Kramer, D. and Strojny, A., “Elastic Loading and Elastoplastic Unloading from Nanometer Level Indentations for Modulus Determinations,” Journal of Materials Research, Vol. 13, No. 1, pp. 421-436, 1998.
|
[33]
|
ISO-14577, in: Part 2 & 3, Geneva, Switzerland, 2002.
|
[34]
|
Li, W., Huang, C., Yu, M. and Liao, H., “Investigation on Mechanical Property of Annealed Copper Particles and Cold Sprayed Copper Coating by a Micro-Indentation Testing.,” Mater. Des., Vol. 46, pp. 219–226, 2013.
|
[35]
|
Shariyat, M. and Ashrafi, H., “Numerical Analysis of Contact Problems with Friction on Nano-indentation by a Modified Augmented Lagrangian Optimization Approach, In Persian,” Mechanical Aerospace Journal, Vol. 8, No. 1, pp. 1-12, 2011.
|
[36]
|
Begley, MR., Evans, AG. and Hutchinson, JW., “Spherical Impression of Thin Elastic Films on Elastic–Plastic Substrates,” Int. J. Solids Struct., Vol. 36, pp. 2773–2788, 1999.
|
[37]
|
Wen, W., Beker, A.A. and Sun, W., “Determination of Material Properties of Thin Films and Coatings Using Indentation Tests: a review,” Faculty of Engineering, University of Nottingham, University Park, Nottingham NG7 2RD, UK, Springer, 2017.
|
[38]
|
Vlachos, D.E., Markopoulos, Y.P. and Kostopoulos, V., “3D Modelling of Nanoindentation Experiment on a Coating-Substrate System,” Computational Mechanics, Vol. 27, pp. 138-144, 2001.
|
[39]
|
“Analysis User's Guide, Dassault Systems, ABAQUS 6.14,” 2014.
|
[40]
|
Stopel, M. and Skibicki, D., “Determination of Johnson-Cook Model Constants by Measurement of Strain Rate by Optical Method,” AIP Conference Proceedings 1780, 060003, 2016.
|
[41]
|
Bressan, J.D., Tramontin, A. and Rosa, C., “Modelling of Nanoindentation of Bulk and Thin Film by Finite Element Method,” Wear, Vol. 258, pp. 115-122, 2005.
|
[42]
|
Zhaohui, S. and Suresh, S., “Elastic–Plastic Characterization of Thin Films Using Nanoindentation Technique,” Thin Solid Films, Vol. 437, pp. 176–182, 2003.
|
[43]
|
PERZYNSKI, K., MAJOR, L., KOPERNIK, M. and MADEJ, L., “Analysis of the Stress Distribution in the Nanogrid Coatings Based on Digital Representation of the Structure,” In˙zynieria Materiałowa, Vol. 31, pp. 735, 2010.
|
[44]
|
Boyer, R., Welsch, G. and Codings, E.W., “Materials Properties Handbook: Titanium Alloys, Section II: Titanium Data Sheets, 4th printing,” USA, ASM International, Materials park, p. 165., 2004
|