Optimizing Compressive Strength of Micro- and Nano-silica Concrete by Statistical Method

Mahsa Zarehparvar-Shoja, Hamid Eskandari-Naddaf


In recent years, the use of nano-particles to improve the properties of concrete has created a new perspective on concrete technology. Studies in this field indicate improved concrete properties and higher strength by adding nano and micro silica particles to concrete mixes. In this regard, 12 mixing designs with different amounts of these admixtures with three types of cement strength classes (525,425,325) and 36 cubic samples (10 × 10 × 10) were designed and tested to measure compressive strength, of which we have only used 6 mixing plans in this research. The purpose of this research is to present a new method for concrete mix design by optimizing principles. Therefore, in this paper, the Taguchi statistical methods and the factorial design of the optimal mixing plan for this type of concrete are used to reduce the number of experiments to predict the optimal composition of the materials. The results obtained from the MINITAB software show that the effect of combined micro-silica and nano-silica on the compressive strength is in one direction and the effect of these two factors is more than cement strength grade of the cement and also the optimal value for micro-silica and nano-silica are estimated to have an optimum amount of micro-silica and nano-silica of 95 and 38 grams, respectively.


HLLC Scheme; Factorial Design; Taguchi Method; Compressive Strength; Nano-Silica; Micro-Silica.


Iravani, S., Mechanical properties of high-performance concrete. Materials Journal, 1996.93(5):p.416-426 https://doi.org/10. 14359/9845.

Prasad, B.R., H. Eskandari, and B.V. Reddy, Prediction of compressive strength of SCC and HPC with high volume fly ash using ANN. Construction and Building Materials, 2009. 23(1): p. 117-128https://doi.org/10.1016/j.conbuildmat.2008.01.014.

Eskandari-Naddaf, H. and R. Kazemi, ANN prediction of cement mortar compressive strength, influence of cement strength class. Construction and Building Materials, 2017. 138: p. 1-11https://doi.org/10.1016/j.conbuildmat.2017.01.132.

Eskandari, H., Designing, proposing and comparing the methods predicting the compressive strength of the ferro cement mortar. Concrete Research Letters, 2015. 6(1): p. 1-10.

Eskandari, H., A.M. Nic, and A. Ghanei, Effect of Air Entraining Admixture on Corrosion of Reinforced Concrete. Procedia Engineering, 2016. 150: p. 2178-2184https://doi.org/10.1016/j.proeng.2016.07.261.

Nochaiya, T., W. Wongkeo, and A. Chaipanich, Utilization of fly ash with silica fume and properties of Portland cement–fly ash–silica fume concrete. Fuel, 2010. 89(3): p. 768-774 https://doi.org/10.1016/j.fuel.2009.10.003.

Scrivener, K.L. and R.J. Kirkpatrick, Innovation in use and research on cementitious material. Cement and concrete research, 2008. 38(2): p. 128-136https://doi.org/10.1016/j.cemconres.2007.09.025.

Li, H., et al., Microstructure of cement mortar with nano-particles. Composites Part B: Engineering, 2004. 35(2): p. 185-189https://doi.org/10.1016/S1359-8368(03)00052-0.

Li, G.Y., P.M. Wang, and X. Zhao, Mechanical behavior and microstructure of cement composites incorporating surface-treated multi-walled carbon nanotubes. Carbon, 2005. 43(6): p. 1239-1245https://doi.org/10.1016/j.carbon.2004.12.017.

Li, H., H.-g. Xiao, and J.-p. Ou, A study on mechanical and pressure-sensitive properties of cement mortar with nanophase materials. Cement and Concrete research, 2004. 34(3): p. 435-438https://doi.org/10.1016/j.cemconres.2003.08.025.

Li, Z., et al., Investigations on the preparation and mechanical properties of the nano-alumina reinforced cement composite. Materials Letters, 2006. 60(3): p. 356-359https://doi.org/10.1016/j.matlet.2005.08.061.

Kuo, W.-Y., J.-S. Huang, and C.-H. Lin, Effects of organo-modified montmorillonite on strengths and permeability of cement mortars. Cement and Concrete Research, 2006. 36(5): p. 886-895https://doi.org/10.1016/j.cemconres.2005.11.013.

Jo, B.-W., et al., Characteristics of cement mortar with nano-SiO 2 particles. Construction and building materials, 2007. 21(6): p. 1351-1355https://doi.org/10.1016/j.conbuildmat.2005.12.020.

Ji, T., Preliminary study on the water permeability and microstructure of concrete incorporating nano-SiO 2. Cement and Concrete Research, 2005. 35(10): p. 1943-1947https://doi.org/10.1016/j.cemconres.2005.07.004.

Sanchez, F. and K. Sobolev, Nanotechnology in concrete–a review. Construction and building materials, 2010. 24(11): p. 2060-2071https://doi.org/10.1016/j.conbuildmat.2010.03.014.

Shih, J.-Y., T.-P. Chang, and T.-C. Hsiao, Effect of nanosilica on characterization of Portland cement composite. Materials Science and Engineering: A, 2006. 424(1): p. 266-274https://doi.org/10.1016/j.msea.2006.03.010.

Nazari, A. and S. Riahi, The effects of SiO 2 nanoparticles on physical and mechanical properties of high strength compacting concrete. Composites Part B: Engineering, 2011. 42(3): p. 570-578https://doi.org/10.1016/j.compositesb.2010.09.025.

Li, H., M.-h. Zhang, and J.-p. Ou, Flexural fatigue performance of concrete containing nano-particles for pavement. International Journal of fatigue, 2007. 29(7): p. 1292-1301https://doi.org/10.1016/j.ijfatigue.2006.10.004.

Yen, T., et al., Influence of class F fly ash on the abrasion–erosion resistance of high-strength concrete. Construction and Building Materials, 2007. 21(2): p. 458-463https://doi.org/10.1016/j.conbuildmat.2005.06.051.

Razak, H.A. and H. Wong, Strength estimation model for high-strength concrete incorporating metakaolin and silica fume. Cement and Concrete Research, 2005. 35(4): p. 688-695https://doi.org/10.1016/j.cemconres.2004.05.040.

Husin, W.N.W. and I. Johari. Physicomechanical enhancement on Portland composite concrete using silica fume as replacement material. in AIP Conference Proceedings. 2017. AIP Publishing.

Khan, M.I. and R. Siddique, Utilization of silica fume in concrete: Review of durability properties. Resources, Conservation and Recycling, 2011. 57: p. 30-35https://doi.org/10.1016/j.resconrec.2011.09.016.

Nili, M. and V. Afroughsabet, The effects of silica fume and polypropylene fibers on the impact resistance and mechanical properties of concrete. Construction and Building Materials, 2010.24(6):p.927-933 https://doi.org/10.1016/j.conbuildmat. 2009.11.025.

Gupta, T., S. Chaudhary, and R.K. Sharma, Mechanical and durability properties of waste rubber fiber concrete with and without silica fume. Journal of Cleaner Production, 2016. 112: p. 702-711https://doi.org/10.1016/j.jclepro.2015.07.081.

Güneyisi, E., M. Gesoğlu, and T. Özturan, Properties of rubberized concretes containing silica fume. Cement and Concrete Research, 2004. 34(12): p. 2309-2317https://doi.org/10.1016/j.cemconres.2004.04.005.

Sobolev, K., The development of a new method for the proportioning of high-performance concrete mixtures. Cement and Concrete Composites, 2004. 26(7): p. 901-907https://doi.org/10.1016/j.cemconcomp.2003.09.002.

Qing, Y., et al., Influence of nano-SiO 2 addition on properties of hardened cement paste as compared with silica fume. Construction and building materials, 2007. 21(3): p. 539-545https://doi.org/10.1016/j.conbuildmat.2005.09.001.

Eskandari, H. and T. Korouzhdeh, Cost optimization and sensitivity analysis of composite beams. Civil Engineering Journal, 2016. 2(2): p. 52-62.

Eskandari, H. and M. Tayyebinia, Effect of 32.5 and 42.5 cement grades on ann prediction of fibrocement compressive strength. Procedia Engineering, 2016. 150: p. 2193-2201https://doi.org/10.1016/j.proeng.2016.07.263.

Eskandari, H. and A. Madadi, Investigation of ferrocement channels using experimental and finite element analysis. Engineering Science and Technology, an International Journal, 2015. 18(4): p. 769-775https://doi.org/10.1016/j.jestch.2015.05.008.

Bhanja, S. and B. Sengupta, Investigations on the compressive strength of silica fume concrete using statistical methods. Cement and Concrete Research, 2002. 32(9): p. 1391-1394https://doi.org/10.1016/S0008-8846(02)00787-1.

Antony, J., et al., An application of Taguchi method of experimental design for new product design and development process. Assembly Automation, 2006. 26(1): p. 18-24https://doi.org/10.1108/01445150610645611.

Tittley, J., Taguchi methods-applications in world industries. Manufacturing Engineer, 1990.69(9):p.15 https://doi.org/10.1049/ me:19900211.

Gray, C., Introduction to quality engineering: designing quality into products and processes, G. Taguchi, Asian productivity organization, 1986. number of pages: 191. price: $29 (UK). 1988, Wiley Online Library.

Tanyildizi, H. and M. Şahin, Application of Taguchi method for optimization of concrete strengthened with polymer after high temperature. Construction and Building materials, 2015. 79: p. 97-103https://doi.org/10.1016/j.conbuildmat.2015.01.039.

Eskandari-Naddaf, H. and M. Azimi-Pour, Performance evaluation of dry-pressed concrete curbs with variable cement grades by using Taguchi method. Ain Shams Engineering Journal, 2016https://doi.org/10.1016/j.asej.2016.09.004.

Mahdinia, S., H. Eskandari-Naddaf, and R. Shadnia, Effect of Main Factors on Fracture Mode of Mortar, A Graphical Study. Civil Engineering Journal, 2017. 3(10): p. 897-90310.28991/cej-030923.

Mitra, A., Experimental design and the Taguchi method. Fundamentals of Quality Control and Improvement, Third Edition, 1998: p. 559-663 https://doi.org/10.1002/9781118491645.ch12.

Mori, T., Taguchi-Class Experimental Design Methods and Applications, in Taguchi Methods. 2011, ASME Press.

Montgomery, D.C., C.L. Jennings, and M. Kulahci, Introduction to time series analysis and forecasting. 2015: John Wiley & Sons.

Zinsmeister, A., Statistics for Experimenters: An Introduction to Design, Data Analysis, and Model Building, by GEP Box, WG Hunter, and JS Hunter. Medical Physics, 1981. 8(4): p. 526-527https://doi.org/10.1118/1.595008.

Kumar, A., B. Prasad, and I. Mishra, Optimization of acrylonitrile removal by activated carbon‐granular using response surface methodology. The Canadian Journal of Chemical Engineering, 2009. 87(4): p. 637-643https://doi.org/10.1002/cjce.20189.

Kukreja, A., et al., Application of full factorial design for optimization of feed rate of stationary hook hopper. International Journal of Modeling and Optimization, 2011. 1(3): p. 205https://doi.org/10.7763/ijmo.2011.v1.36.

Peyronnard, O. and M. Benzaazoua, Alternative by-product based binders for cemented mine backfill: Recipes optimisation using Taguchi method. Minerals Engineering, 2012. 29: p. 28-38https://doi.org/10.1016/j.mineng.2011.12.010.

Aliabdo, A.A., A.E.M.A. Elmoaty, and H.A. Salem, Effect of cement addition, solution resting time and curing characteristics on fly ash based geopolymer concrete performance. Construction and Building Materials, 2016.123:p.581-593 https://doi.org/ 10.1016/j.conbuildmat.2016.07.043.

Nazari, A. and J.G. Sanjayan, Modelling of compressive strength of geopolymer paste, mortar and concrete by optimized support vector machine. Ceramics International, 2015. 41(9): p. 12164-12177https://doi.org/10.1016/j.ceramint.2015.06.037.

Skarendahl, Å., First international RILEM symposium on self-compacting concrete. Materials and Structures, 2000. 33(2): p. 143-144 https://doi.org/10.1007/bf02484169.

Aly, M., et al., Effect of colloidal nano-silica on the mechanical and physical behaviour of waste-glass cement mortar. Materials & Design, 2012. 33: p. 127-135https://doi.org/10.1016/j.matdes.2011.07.008.

Taheri-Behrooz, F., B.M. Maher, and M. Shokrieh, Mechanical properties modification of a thin film phenolic resin filled with nano silica particles. Computational Materials Science, 2015. 96: p. 411-415https://doi.org/10.1016/j.commatsci.2014.08.042.

Du, H., S. Du, and X. Liu, Durability performances of concrete with nano-silica. Construction and Building Materials, 2014. 73: p. 705-712https://doi.org/10.1016/j.conbuildmat.2014.10.014.

Zhang, M.-H. and J. Islam, Use of nano-silica to reduce setting time and increase early strength of concretes with high volumes of fly ash or slag. Construction and Building Materials, 2012. 29: p. 573-580https://doi.org/10.1016/j.conbuildmat.2011.11.013.

Coo, M. and T. Pheeraphan, Effect of sand, fly ash, and coarse aggregate gradation on preplaced aggregate concrete studied through factorial design. Construction and Building Materials, 2015.93:p.812-821 https://doi.org/10.1016/j.conbuildmat. 2015.05.086.

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DOI: 10.28991/cej-030939


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