NUMERICAL SIMULATION OF VICKERS MICRO-INDENTATION TEST TO ESTIMATE MICRO-HARDNESS
The paper aim is to investigate the experimental micro-hardness process by finite elements method (FEM) and validation of the numerical simulation by geometric evaluation of the imprint's parameters numerically obtained with the experimental results. In the ﬁrst stage, micro-indentation experiments with a Vickers indenter were performed on two materials, aluminum 6060 and cooper C110. The average length of imprint diagonals and average value of Vickers micro-hardness of the materials were determined. In the second stage, the micro-indentation process for both materials were simulated by ﬁnite element method using a 3D model of a Vickers indenter for which the geometric and mechanical characteristics are known. For an accurate simulation the mechanical constants and material behavior in terms of strain –stress curves of the studied materials, has to be determined. Thus, the uniaxial tensile test was performed for both materials and their mechanical properties and the stress – strain curves were measured. The values of Vickers micro-hardness and the geometric parameters of imprints obtained from the ﬁnite element simulation were in very good agreement with the results obtained from micro-indentation experiments.
Key words: Vickers micro-hardness, micro-indentation, imprint parameters, numerical simulation.
Adonias, R.F.J., Pintaude, G., Sinatora, A., Pinedo, C.E., Tschiptschin, A.P., The use of a Vickers indenter in depth sensing indentation for measuring elastic modulus and Vickers hardness, Journal of Material Research, Vol. 7, No. 3, pp. 483-491, 2004.
Yan, W., Pun, C.L., Simon, G.P., Conditions of applying Oliver-Pharr method to the indentation of particles in composites, Composites Science and Technology, Vol. 72, pp. 1147-1152, 2012.
Nastic, A., Merati, A., Bielawski M., Bolduc, M., Fakolujo, O., Nganbe, M., Instrumented and Vickers indentation for the characterization of stiffness, hardness and toughness of zirconia toughened Al2O3 and SiC armor, Journal of Material Sciente and Technology, Vol. 31, pp. 773-783, 2015.
Bahri, A., Guermazi, N., Bargui, M., Elleuch, K., Estimation of elastic modulus of the alumina coated AA1050 aluminium: Modelinh and experiments, Material Science and Engineering A, Vol. 670, pp. 188-195, 2016.
Gubicza, J., Juhasz, A., Tasnadi, P., Arato, P., Voros, G., Determination of hardness and elastic modulus from continuous Vickers indentation testing, Journal of Material Science and Technology, Vol. 28, No. 7, pp. 626-635, 2012.
Oliver, W.C., Pharr, G.M., An improved technique for determining hardness and elastic modulus using load and displacement sensing indentation experiments, Journal of Material Research, Vol. 7, No. 6, 1992.
Hay, J., Introduction to instrumented indentation testing, Experimental Techniques, Vol. 33, No. 6, pp. 66-72, 2009.
Oliver, W.C., Pharr, G.M., Measurements of hardness and elastic modulus by instrumented indentation: Advances in understanding and refinement to methodology, Journal of Material Science, Vol. 19, No. 1, 2004.
Zorzi, J.E., Perottoni, C.A., Estimating Young’s modulus and Poisson’s ratio by instrumented indentation test, Materials Science & Engineering A, Vol. 574, pp. 25-30, 2013.
Chen, X.-Q., Niu, Haiyang, Li, Dianzhong, Li, Yiyi, Modeling hardness of polycrystalline materials and bulk metallic glasses, Intermetallics, Vol. 19, No. 9, pp. 1275-1281, 2011.
Kang, S.K., Kim, J.Y., Park, C.P., Conventional Vickers and true instrumented indentation hardness determined by instrumented indentation tests, Journal of Material Science, Vol. 25, No.2, pp. 337-343, 2010.
Bueno, S., Baudin, C., Instrumented Vickers microindentation of alumina-base materials, Journal of Material Research, Vol. 21, No.1, pp. 161-173, 2006.
Wagih, A., Experimental and Finite Element Simulation of Nano-indentation on Metal Matrix Composites: Hardness Prediction, International Journal of Engineering (IJE), TRANSACTIONS A: Basics, Vol. 29, No. 1, pp. 78-86, 2016.
Sun, Y., Bell, T., Zheng, S., Finite element analysis of the critical ratio of coatings thickness to indentation depth for coating property measurements by nanoindentation, Thin solid films, Vol. 258, No. 1, pp. 198-204, 1995.
Bolshakov, A., Oliver, W., Pharr, G., Influences of stress on the measurements of mechanical properties using nanoindentation: Part ii. Finite element simulations, Journal of Material Research, Vol. 11, No. 3, pp. 760-768, 1996.
Moy, C., Bocciarelli, M., Ringer, S., Ranzi, G., Indentation and imprint mapping for the identification of material properties in multi-layered systems, Computational Materials Science, Vol. 50, No. 5, pp. 1681-1691, 2011.
Zhao, M., Ogasawara, N., Chiba, N., Chen, X., A new approach to measure the elastic-plastic properties of bulk materials using spherical indentation, Acta Materialia, Vol. 54, pp. 23-32, 2006.
Zhang, M., Ning, Z., Wang, Q., Contact elasto-plasticity of inhomogeneous materials and numerical method for estimating matrix yield strength of composites, Tribology International, Vol. 127, pp. 84-95, 2018.
Laursen, T.A., Simo, J.C., A study of the mechanics of microindentation using finite elements, Journal of Material Research, Vol. 7, No. 3, 1992.
Tang, L., Walters C.L., Estimation of single-grain properties of steel through inverse-engineering of microindentation experiments: Uniqueness of the solution, 20th European Conference on Fracture (ECF20), Procedia Material Science, Vol. 3, pp. 215-220, 2014.
Karimzadeh, A., Ayatollahi, M.R., Alizadeh, M., Finite element simulation of nano-indentation experiment on aluminium 1100, Computation Material Science, Vol. 81, pp. 595-600, 2014.
Liu, M., Lu, C., Tieu, K., Yu, H., Numerical comparison between Berkovich and conical nano-indentations: Mechanical behaviour and micro-texture evolution, Material Science and Engineering A, Vol. 619, pp. 57-65, 2014.
Wang, D., Zhao, J., Xue, C., Cao, Y., Finite element simulation of Vickers micro-indentation test of micro-nano-composite ceramic tool materials based on microstructure model, Journal of Refractory Metals and Hard Materials, Vol. 58, pp. 34-41, 2016.
Guo, W.C., Rauchs, G., Zhang, W.H., Ponthot, J.P., Influence of friction in material characterization in microindentation measurement, Journal of Computational and Applied Mathematics, Vol. 243, pp. 2183-2192, 2010.
Lee, J.M., Lee, C.J., Lee, K.H., Kim, B.M., Effects of elastic-plastic properties of materials on residual indentation impressions in nano-indentation using sharp indenter, Transaction of Nonferrous Metals Society of China, Vol. 22, No. 3, pp. 585-595, 2012.
Stauss, S., Schwaller, P., Bucaille, J.L., Rabe, R., Rohr, L., el. al., Determining the stress-strain behaviuor of small devices by nanoindentation in combination with invese methods, Microelectronic Engineering, Vol. 67, pp. 818-825, 2003.
Lichinchi, M., Lenardi, C., Haupt, J., Vitali, R., Simulation of Berkovich nanoindentation experiments on thin films using finite element method, Thin Solid Films, Vol. 333, No. 1, pp. 278-286, 1999.
Karimzadeh, A., Ayatollahi, M., Alizadeh, M., Finite element simulation of nano-indentation experiment on aluminum 1100, Computational Materials Science, Vol. 81, pp. 595-600, 2014.
Celentano, D.J., Guelorget, B., Francois, M., Cruchaga, M.A., Slimane, A., Numerical simulation and experimental validation of the microindentation tets applied to bulk elastoplastic materials, Modelling and Simulation in Materials Science and Engineering, Vol. 20, No. 4, 2012.
Tabor, D., The hardness of solids, Review of Physics in Technology, Vol. 1, No. 3, 1970.
Fischer-Cripps, A.C., Contact mechanics, in Nanoindentation, Springer, 1-19, 2011.
ASTM E 384-99, Standard Test Method for Microindentation Hardness of Materials.
ASM Handbook, Mechanical Testing and Evaluation, Vol. 8, 2000.
Pharr, G.M., Bolshakov, A., Understanding nanoindentation unloading curves, Journal of Material Research, Vol. 17, No. 10, pp. 2660-2671, 2002.
Alcala, J., Barome, A.C., Anglada, M., The influence of plastic hardening on surface deformation modes around Vickers and spherical indents, Acta Materialia, Vol. 48, pp. 3451-3464, 2000.
BS EN 573-3:2003 Standard, Aluminium and aluminium alloys - Chemical composition and form of wrought products, in Part 3: Chemical composition, 2003.
BS EN 755-2:2008 Standard, Alloy 6060 – Generic physical properties, 2008.
ASTM B152/B 152M – 06a, Standard specification for copper sheet, strip, plate and rolled bar.
C110 (ETP) Data sheet: www.luvata.com.
ISO 6507-1, Metallic materials – Vickers hardness test – Part1: Test method.
International Standard ISO 6892-1, Metallic materials – Tensile testing –Part 1: Method of test at room temperature, 2009.
Minster, J., Micka, M., Numerical simulation of an indentation process for defining the viscoelastic characteristics of time-depedent materials, Journal of Science and Engineering B, Vol. 2, No. 1B, pp. 81-89, 2012.
ThyssenKrupp, Aluminum alloy 6060, in Material Data Sheet, 2013.
Li, Q., Lovell, M.R., The establishment of a failure criterion on cross wedge rolling, The International Journal of Advanced Manufacturing Technology, Vol. 24, pp. 180-189, 2004.
da Silva Dias, A.M., Modenesi, P.J., de Godoy, G.C., Computer simulation of stress distribution during Vickers hardness testing of WC-6Co, Material Research, Vol. 9, No. 1, pp. 73-76, 2006.
Ma, Z.S., Zhou, Y.C., Long, S.G., Lu, C.S., An inverse approach for extracting elastic-plastic properties of thin films for small scale sharp indentation, Journal of Material Science and Technology, Vol. 28, No. 7, pp. 626-635, 2012.
Sakharova, N.A., Fernandes, J.V., Antunes, J.M., Oliveira, M.C., Comparison between Berkovich, Vickers and conical indentation tests: A three-dimensional numerical simulation study, International Journal of Solids and Structures, Vol. 46, pp. 1095-1104, 2009.
Ma, Z.S., Zhou, Y.C., Long, S.G., Lu, C.S., A new method to determine the elastoplastic properties of ductile materials by conical indentation, Science China Physics, Mechanics and Astronomy, Vol. 55, No. 6, pp. 1032-1036, 2012.
Antunes, J.M., Menezes, L.F., Fernandes, J.V., Three-dimensional numerical simulation of Vickers indentation tests, International Journal of Solids and Structures, Vol. 43, pp. 784-806, 2006.
Tang, Z., Guo, Y., Jia, Z., Li, Y., Wei, Q., Examining the effect of pileup on the accuracy of sharp indentation testing, Advanced in Material Science and Engineering, 2015.
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