Abstract
In the current study, a methodology of dimensional analysis based on Buckingham-pi theorem is presented to determine the dynamic fracture behavior of glass filled epoxy composites. Rod shaped glass fillers having an aspect ratio of 80 have been used to reinforce the epoxy matrix. These glass fillers were used in the volume fraction of 0%, 5%, 10% and 15%. Dynamic fracture toughness index for crack-opening mode (mode-I) is proposed to find out the fracture toughness of the Particulate Polymer Composites (PPCs) under different strain rate conditions of impact loading. The legitimacy of the proposed methodology is supported with the limited experimental results of dynamic fracture test which was conducted for varying filler concentration. The influence of various governing factors on the fracture toughness of the particulate polymer composites is also discussed and shear wave speed is found to have the most pronounced effect on the dynamic fracture toughness of the resulting composite.
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References
Barenblatt, G.I.: Dimensional Analysis. CRC Press (1987)
Bharath, K.N., Madhu, P., Gowda, T.G.Y., Sanjay, M.R., Kushvaha, V., Siengchin, S.: Alkaline effect on characterization of discarded waste of Moringa oleifera fiber as a potential eco-friendly reinforcement for biocomposites. J. Polym. Environ. (2020). https://doi.org/10.1007/s10924-020-01818-4
Bouché, G.A., Akono, A.-T.: Micromechanics-based estimates on the macroscopic fracture toughness of micro-particulate composites. Eng. Fract. Mech. 148, 243–257 (2015). https://doi.org/10.1016/j.engfracmech.2015.09.037
Buckingham, E.: On physically similar systems; illustrations of the use of dimensional equations. Phys. Rev. 4(4), 345–376 (1914). https://doi.org/10.1103/PhysRev.4.345
Davies, P.:. Composites for marine applications. In Soares, C.A.M., Soares, C.M.M., Freitas, M.J.M. (eds.) Mechanics of Composite Materials and Structures, pp. 235–248. Springer, Netherlands (1999). https://doi.org/10.1007/978-94-011-4489-6_12
Desavale, R.G., Venkatachalam, R., Chavan, S.P.: Experimental and numerical studies on spherical roller bearings using multivariable regression analysis. J. Vib. Acoust. 136(2), 021022–021022-10 (2014). https://doi.org/10.1115/1.4026433
Garg, A., Huang, H., Kushvaha, V., Madhushri, P., Kamchoom, V., Wani, I., Koshy, N., Zhu, H.-H.: Mechanism of biochar soil pore–gas–water interaction: gas properties of biochar-amended sandy soil at different degrees of compaction using KNN modeling. Acta Geophys. 68(1), 207–217 (2020). https://doi.org/10.1007/s11600-019-00387-y
Garg, A., Reddy, N.G., Huang, H., Buragohain, P., Kushvaha, V.: Modelling contaminant transport in fly ash–bentonite composite landfill liner: mechanism of different types of ions. Sci. Rep. 10(1), 11330 (2020). https://doi.org/10.1038/s41598-020-68198-6
Gowda, V.A.Y., Gupta, M.K., Jamil, M., Kushvaha, V., Siengchin, S.: Novel Muntingia Calabura bark fiber reinforced green-epoxy composite: a sustainable and green material for cleaner production. J. Clean. Prod. 126337 (2021). https://doi.org/10.1016/j.jclepro.2021.126337
Gowda, Y.T.G., Madhu, V.A.P., Kushvaha, V., Siengchin, S.M.R.S.: A new study on flax‐basalt‐carbon fiber reinforced epoxy/bioepoxy hybrid composites. Wiley (2021). https://doi.org/10.1002/pc.25944
Hadjileontiadis, L.J., Douka, E., Trochidis, A.: Fractal dimension analysis for crack identification in beam structures. Mech. Syst. Signal Process. 19(3), 659–674 (2005). https://doi.org/10.1016/j.ymssp.2004.03.005
Hemath, M., Mavinkere Rangappa, S., Kushvaha, V., Dhakal, H.N., Siengchin, S.: A comprehensive review on mechanical, electromagnetic radiation shielding, and thermal conductivity of fibers/inorganic fillers reinforced hybrid polymer composites. Polym. Compos. (2020). https://doi.org/10.1002/pc.25703
Javid, S., Kushvaha, V., Karami, G., McEligot, S., Dragomir-Daescu, D.: Cadaveric femoral fractures in a fall on the hip configuration. In: Barthelat, F., Zavattieri, P., Korach, C.S., Prorok, B.C., Grande-Allen, K.J. (eds.) Mechanics of Biological Systems and Materials, vol. 4, pp. 53–57. Springer International Publishing (2014)
Kohrmann, M., Buchschmid, M., Greim, A., Müller, G., Schanda, U.: Vibroacoustic characteristics of light-weighted slabs—Part 1: Aspects of Numerical Modeling, Model Updating and Parametric Studies using the Buckingham Pi-Theorem (2013)
Koppula, S., Kaviti, A.K., Namala, K.K.: Experimental investigation of fibre reinforced composite materials under impact load. IOP Conf. Ser. Mater. Sci. Eng. 330, 012047 (2018). https://doi.org/10.1088/1757-899X/330/1/012047
Korneeva, N.V., Kudinov, V.V., Krylov, I.K., Mamonov, V.I.: Properties and destruction of anisotropic composite materials under static deformation and impact loading conditions. J. Phys: Conf. Ser. 1134, 012028 (2018). https://doi.org/10.1088/1742-6596/1134/1/012028
Kumar, S., Kachhap, R.K., Satapathy, B.K., Patnaik, A.: Wear performance forecasting of chopped fiber-reinforced polymer composites: a new approach using dimensional analysis. Tribol. Trans. 60(5), 873–880 (2017). https://doi.org/10.1080/10402004.2016.1224962
Kushvaha, V., Anandkumar, S., Madhushri, P.: Dynamic fracture toughness index: a new integrated methodology for mode-I fracture behaviour of polymer composite under impact loading. Mater. Res. Express (2019). https://doi.org/10.1088/2053-1591/ab4e35
Kushvaha, V., Tippur, H.: Effect of filler shape, volume fraction and loading rate on dynamic fracture behavior of glass-filled epoxy. Compos. B Eng. 64, 126–137 (2014). https://doi.org/10.1016/j.compositesb.2014.04.016
Kushvaha, V.: Synthesis, Processing and Dynamic Fracture Behavior of Particulate Epoxy Composites with Conventional and Hierarchical Micro-/Nano-fillers (2016). https://etd.auburn.edu/handle/10415/5468
Kushvaha, V., Branch, A., Tippur, H.: Effect of loading rate on dynamic fracture behavior of glass and carbon fiber modified epoxy. In: Song, B., Casem, D., Kimberley, J. (eds.) Dynamic Behavior of Materials, vol. 1, pp. 169–176. Springer International Publishing (2014). https://doi.org/10.1007/978-3-319-00771-7_21
Kushvaha, V., Kumar, S.A., Madhushri, P., Sharma, A.: Artificial neural network technique to predict dynamic fracture of particulate composite. J. Compos. Mater., 0021998320911418 (2020). https://doi.org/10.1177/0021998320911418
Kushvaha, V., Tippur, H.: Effect of filler particle shape on dynamic fracture behavior of glass-filled epoxy. In: Chalivendra, V., Song, B., Casem, D. (eds.) Dynamic Behavior of Materials, vol. 1, pp. 513–522. Springer New York (2013). https://doi.org/10.1007/978-1-4614-4238-7_66
McGarry, F.J.: Polymer composites. Annu. Rev. Mater. Sci. 24(1), 63–82 (1994). https://doi.org/10.1146/annurev.ms.24.080194.000431
Miles, J.W.: Dimensional Analysis for Engineers (Taylor, E.S., ed.). Oxford University Press (1974). 162 pp. £5.75. J. Fluid Mech. 68(2), 416–416. https://doi.org/10.1017/S0022112075210900
Moloney, A.C., Kausch, H.H., Kaiser, T., Beer, H.R.: Parameters determining the strength and toughness of particulate filled epoxide resins. J. Mater. Sci. 22(2), 381–393 (1987). https://doi.org/10.1007/BF01160743
Paul, S.N., Karambelkar, V.V., Rao, S.N., Ekhe, J.D.: The application of Buckingham π theorem to modeling polypyrrole synthesis done by chemical oxidative polymerization. Indian J. Sci. Technol. 8(35) (2015)
Pescetti, D.: Dimensional analysis and qualitative methods in problem solving. Eur. J. Phys. 29(4), 697–707 (2008). https://doi.org/10.1088/0143-0807/29/4/005
Qiao, Y.: Fracture toughness of composite materials reinforced by debondable particulates. Scripta Mater. 49(6), 491–496 (2003). https://doi.org/10.1016/S1359-6462(03)00367-1
Reddy, G.M., Reddy, V.D.: Theoretical investigations on dimensional analysis of ball bearing parameters by using Buckingham Pi-theorem. Procedia Eng. 97, 1305–1311 (2014). https://doi.org/10.1016/j.proeng.2014.12.410
Rossman, T., Kushvaha, V., Dragomir-Daescu, D.: QCT/FEA predictions of femoral stiffness are strongly affected by boundary condition modeling. Comput. Methods Biomech. Biomed. Eng. 19(2), 208–216 (2016). https://doi.org/10.1080/10255842.2015.1006209
Saini, R., Kenny, M., Barz, D.P.J.: Electroosmotic flow through packed beds of granular materials. Microfluid. Nanofluid. 19(3), 693–708 (2015). https://doi.org/10.1007/s10404-015-1594-0
Sedov, L.I.: Similarity and Dimensional Methods in Mechanics. CRC Press (2018). https://doi.org/10.1201/9780203739730
Sharma, A., Kushvaha, V.: Predictive modelling of fracture behaviour in silica-filled polymer composite subjected to impact with varying loading rates using artificial neural network. Eng. Fract. Mech. 239, 107328 (2020). https://doi.org/10.1016/j.engfracmech.2020.107328
Sharma, A., Subramaiyan, A.K., Kushvaha, V.: Effect of aspect ratio on dynamic fracture toughness of particulate polymer composite using artificial neural network. Eng. Fract. Mech. 228, 106907 (2020). https://doi.org/10.1016/j.engfracmech.2020.106907
Sharma, A., Khan, V.C., Balaganesan, G., Kushvaha, V.: Performance of nano filler reinforced composite overwrap system to repair damaged pipelines subjected to quasi-static and impact loading (2020). https://doi.org/10.1007/s11668-020-01013-6
Sharma, A., Madhushri, P., Kushvaha, V., Subramaniyan, A.K.: Prediction of the fracture toughness of silicafilled epoxy composites using K-nearest neighbor (KNN) method. In: 2020 International Conference on Computational Performance Evaluation (ComPE), pp. 194–198 (2020). https://doi.org/10.1109/ComPE49325.2020.9200093
Sharma, A., Munde, Y., Kushvaha, V.: Representative volume element based micromechanical modelling of rod shaped glass filled epoxy composites. SN Appl. Sci. 3, 232 (2021). https://doi.org/10.1007/s42452-021-04261-9
Shehadeh, M., Shennawy, Y., El-Gamal, H.: Similitude and scaling of large structural elements: case study. Alexandria Eng. J. 54(2) (2015). https://cyberleninka.org/article/n/571725
Singh, R., Khamba, J.S.: Mathematical modeling of tool wear rate in ultrasonic machining of titanium. Int. J. Adv. Manuf. Technol. 43(5), 573–580 (2009). https://doi.org/10.1007/s00170-008-1729-5
Song, S.G., Shi, N., Iii, G.T.G., Roberts, J.A.: Reinforcement shape effects on the fracture behavior and ductility of particulate-reinforced 6061-Al matrix composites. Metall. Mater. Trans. A 27(11), 3739–3746 (1996). https://doi.org/10.1007/BF02595465
Sonin, A.A.: The Physical Basis of Dimensional Analysis, 2nd edn. Department of Mechanical Engineering (2001)
Tan, Q.-M.: Dimensional Analysis: With Case Studies in Mechanics. Springer-Verlag (2011). https://www.springer.com/gp/book/9783642192333
Wani, I., Kumar, H., Rangappa, S.M., Peng, L., Siengchin, S., Kushvaha, V.: Multiple regression model for predicting cracks in soil amended with pig manure biochar and wood biochar. J. Hazard. Toxic Radioactive Waste 25(1), 04020061 (2021). https://doi.org/10.1061/(ASCE)HZ.2153-5515.0000561
Wani, I., Sharma, A., Kushvaha, V., Madhushri, P., Peng, L.: Effect of pH, volatile content, and pyrolysis conditions on surface area and O/C and H/C ratios of biochar: towards understanding performance of biochar using simplified approach. J. Hazard. Toxic Radioactive Waste 24(4), 04020048 (2020). https://doi.org/10.1061/(ASCE)HZ.2153-5515.0000545
Wool, R.P., Sun, X.S.: Bio-Based Polymers and Composites. Elsevier (2005)
Zuhudi, N.Z.M., Jayaraman, K., Lin, R.J.T., Nur, N.M.: Impact resistance of bamboo fabric reinforced polypropylene composites and their hybrids. IOP Conf. Ser. Mater. Sci. Eng. 370, 012047 (2018). https://doi.org/10.1088/1757-899X/370/1/012047
Zweben, C.: Advanced composites for aerospace applications: a review of current status and future prospects. Composites 12(4), 235–240 (1981). https://doi.org/10.1016/0010-4361(81)90011-2
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Kushvaha, V., Sharma, A. (2021). Dimensional Analysis for Predicting the Fracture Behavior of Particulate Polymer Composite Under the Effect of Impact Loading. In: Mavinkere Rangappa, S., Satishkumar, T.P., Cuadrado, M.M.M., Siengchin, S., Barile, C. (eds) Fracture Failure Analysis of Fiber Reinforced Polymer Matrix Composites . Engineering Materials. Springer, Singapore. https://doi.org/10.1007/978-981-16-0642-7_7
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