A model for tensile modulus of halloysite-nanotube-based samples assuming the distribution and networking of both nanoparticles and interphase zone after mechanical percolation

References

• K. Prashantha, H. Schmitt, M.-F. Lacrampe, and P. Krawczak, Mechanical behaviour and essential work of fracture of halloysite nanotubes filled polyamide 6 nanocomposites, Compos. Sci. Technol., vol. 71, no. 16, pp. 1859–1866, 2011. DOI: 10.1016/j.compscitech.2011.08.019.
   Web of Science ®Google Scholar
• R. Rozza and F. Ferrante, Computational study of water adsorption on halloysite nanotube in different pH environments, Appl. Clay Sci., vol. 190, pp. 105589, 2020. DOI: 10.1016/j.clay.2020.105589.
   Web of Science ®Google Scholar
• S. Hamedi and M. Koosha, Designing a pH-responsive drug delivery system for the release of black-carrot anthocyanins loaded in halloysite nanotubes for cancer treatment, Appl. Clay Sci., vol. 197, pp. 105770, 2020. DOI: 10.1016/j.clay.2020.105770.
   Web of Science ®Google Scholar
• R. Bouaziz, K. Prashantha, and F. Roger, Thermomechanical modeling of halloysite nanotube-filled shape memory polymer nanocomposites, Mech. Adv. Mater. Struct., vol. 26, no. 14, pp. 1209–1217, 2019. DOI: 10.1080/15376494.2018.1432793.
   Web of Science ®Google Scholar
• B. Lecouvet, C. Bailly, and B. Nysten, Measurement of the elastic modulus of halloysite nanotubes using atomic force microscopy, Nat. Miner. Nanotubes: Properties Appl., pp. 251, 2015.
   Google Scholar
• K. L. Goh, R. De Silva, and P. Pasbakhsh, Mechanics of halloysite nanotubes, Nat. Miner. Nanotubes: Properties Appl., pp. 261–282, 2015.
   Google Scholar
• A. Mohebali, M. Abdouss, and F. A. Taromi, Fabrication of biocompatible antibacterial nanowafers based on HNT/PVA nanocomposites loaded with minocycline for burn wound dressing, Mater. Sci. Eng. C Mater. Biol. Appl., vol. 110, pp. 110685, 2020. DOI: 10.1016/j.msec.2020.110685.
   PubMed Web of Science ®Google Scholar
• E. Rozhina et al., Comparative cytotoxicity of kaolinite, halloysite, multiwalled carbon nanotubes and graphene oxide, Appl. Clay Sci.., vol. 205, pp. 106041, 2021. DOI: 10.1016/j.clay.2021.106041.
   Web of Science ®Google Scholar
• G. I. Fakhrullina, F. S. Akhatova, Y. M. Lvov, and R. F. Fakhrullin, Toxicity of halloysite clay nanotubes in vivo: a Caenorhabditis elegans study, Environ. Sci: Nano., vol. 2, no. 1, pp. 54–59, 2015. DOI: 10.1039/C4EN00135D.
   Web of Science ®Google Scholar
• A. Zubkiewicz, A. Szymczyk, S. Paszkiewicz, R. Jędrzejewski, E. Piesowicz, and J. Siemiński, Ethylene vinyl acetate copolymer/halloysite nanotubes nanocomposites with enhanced mechanical and thermal properties, J. Appl. Polym. Sci., vol. 137, no. 38, pp. 49135, 2020. DOI: 10.1002/app.49135.
   Web of Science ®Google Scholar
• L. Lisuzzo, G. Cavallaro, S. Milioto, and G. Lazzara, Effects of halloysite content on the thermo-mechanical performances of composite bioplastics, Appl. Clay Sci., vol. 185, pp. 105416, 2020. DOI: 10.1016/j.clay.2019.105416.
   Web of Science ®Google Scholar
• L. Lisuzzo, M. R. Caruso, G. Cavallaro, S. Milioto, and G. Lazzara, Hydroxypropyl cellulose films filled with halloysite nanotubes/wax hybrid microspheres, Ind. Eng. Chem. Res., vol. 60, no. 4, pp. 1656–1665, 2021. DOI: 10.1021/acs.iecr.0c05148.
   Web of Science ®Google Scholar
• D. Marset et al., Injection-molded parts of partially biobased polyamide 610 and biobased halloysite nanotubes, Polymers, vol. 12, pp. 1503, 2020. DOI: 10.3390/polym12071503.
   PubMed Web of Science ®Google Scholar
• Y. E. Bulbul, T. Uzunoglu, N. Dilsiz, E. Yildirim, and H. Ates, Investigation of nanomechanical and morphological properties of silane-modified halloysite clay nanotubes reinforced polycaprolactone bio-composite nanofibers by atomic force microscopy, Polym. Test., vol. 92, pp. 106877, 2020. DOI: 10.1016/j.polymertesting.2020.106877.
   Web of Science ®Google Scholar
• A. Amirkiai et al., Microstructural design for enhanced mechanical and shape memory performance of polyurethane nanocomposites: Role of hybrid nanofillers of montmorillonite and halloysite nanotube, Appl. Clay Sci., vol. 198, pp. 105816, 2020. DOI: 10.1016/j.clay.2020.105816.
   Web of Science ®Google Scholar
• A. Sheidaei et al., 3-D microstructure reconstruction of polymer nano-composite using FIB–SEM and statistical correlation function, Compos. Sci. Technol., vol. 80, pp. 47–54, 2013. DOI: 10.1016/j.compscitech.2013.03.001.
   Web of Science ®Google Scholar
• Y. Tang et al., Effects of unfolded and intercalated halloysites on mechanical properties of halloysite–epoxy nanocomposites, Compos. Part A: Appl. Sci. Manuf., vol. 42, no. 4, pp. 345–354, 2011. DOI: 10.1016/j.compositesa.2010.12.003.
   Web of Science ®Google Scholar
• N.-y. Ning, Q.-j. Yin, F. Luo, Q. Zhang, R. Du, and Q. Fu, Crystallization behavior and mechanical properties of polypropylene/halloysite composites, Polymer, vol. 48, no. 25, pp. 7374–7384, 2007. DOI: 10.1016/j.polymer.2007.10.005.
   Web of Science ®Google Scholar
• K. Goh, M. Makaremi, P. Pasbakhsh, R. De Silva, and V. Zivkovic, Direct measurement of the elasticity and fracture properties of electrospun polyacrylonitrile/halloysite fibrous mesh in water, Polym. Test., vol. 72, pp. 11–23, 2018. DOI: 10.1016/j.polymertesting.2018.09.026.
   Web of Science ®Google Scholar
• K. Prashantha, B. Lecouvet, M. Sclavons, M. F. Lacrampe, and P. Krawczak, Poly (lactic acid)/halloysite nanotubes nanocomposites: Structure, thermal, and mechanical properties as a function of halloysite treatment, J. Appl. Polym. Sci., vol. 128, pp. 1895–1903, 2013.
   Web of Science ®Google Scholar
• S. Ganguly, P. Bhawal, A. Choudhury, S. Mondal, P. Das, and N. C. Das, Preparation and properties of halloysite nanotubes/poly (ethylene methyl acrylate)-based nanocomposites by variation of mixing methods, Polym. Plast. Technol. Eng., vol. 57, no. 10, pp. 997–1014, 2018. DOI: 10.1080/03602559.2017.1370106.
   Web of Science ®Google Scholar
• R. T. De Silva, P. Pasbakhsh, K.-L. Goh, and L. Mishnaevsky, Jr., 3-D computational model of poly (lactic acid)/halloysite nanocomposites: Predicting elastic properties and stress analysis, Polymer., vol. 55, no. 24, pp. 6418–6425, 2014. DOI: 10.1016/j.polymer.2014.09.057.
   Web of Science ®Google Scholar
• M. Al-Bahrani, A. Bouaissi, and A. Cree, Mechanical and electrical behaviors of self-sensing nanocomposite-based MWCNTs material when subjected to twist shear load, Mech. Adv. Mater. Struct., vol. 28, no. 14, pp. 1410–1488, 2021. DOI: 10.1080/15376494.2019.1681038.
   Web of Science ®Google Scholar
• F. Zhu, C. Park, and GJin Yun, An extended Mori-Tanaka micromechanics model for wavy CNT nanocomposites with interface damage, Mech. Adv. Mater. Struct., vol. 28, no. 3, pp. 295–307, 2021. DOI: 10.1080/15376494.2018.1562135.
   Web of Science ®Google Scholar
• P. Wang et al., Dynamic behavior of carbon nanofiber-modified epoxy with the effect of polydopamine-coated interface, Mech. Adv. Mater. Struct., vol. 27, no. 21, pp. 1827–1839, 2020. DOI: 10.1080/15376494.2018.1529843.
   Web of Science ®Google Scholar
• M. Mahmoodi, Y. Rajabi, and B. Khodaiepour, Electro-thermo-mechanical responses of laminated smart nanocomposite moderately thick plates containing carbon nanotube–A multi-scale modeling, Mech. Mater., vol. 141, pp. 103247, 2020. DOI: 10.1016/j.mechmat.2019.103247.
   Web of Science ®Google Scholar
• S. Boutaleb et al., Micromechanics-based modelling of stiffness and yield stress for silica/polymer nanocomposites, Int. J. Solids Struct., vol. 46, no. 7–8, pp. 1716–1726, 2009. DOI: 10.1016/j.ijsolstr.2008.12.011.
   Web of Science ®Google Scholar
• M. K. Ravari, M. Kadkhodaei, M. Badrossamay, and R. Rezaei, Numerical investigation on mechanical properties of cellular lattice structures fabricated by fused deposition modeling, Int. J. Mech. Sci., vol. 88, pp. 154–161, 2014. DOI: 10.1016/j.ijmecsci.2014.08.009.
   Web of Science ®Google Scholar
• M. Hassanzadeh-Aghdam, R. Ansari, and M. Mahmoodi, Micromechanical analysis of the elastic response of glass-epoxy hybrid composites containing silica nanoparticles, Mech. Adv. Mater. Struct., vol. 26, no. 23, pp. 1920–1934, 2019. DOI: 10.1080/15376494.2018.1455930.
   Web of Science ®Google Scholar
• R. Wei and W. Gao, Viscoelastic behavior of carbon nanotube-enriched epoxy matrix hybrid composites reinforced with unidirectional graphite fibers, Mech. Adv. Mater. Struct., vol. 28, no. 15, pp. 1516–1588, 2021. DOI: 10.1080/15376494.2019.1695027.
   Web of Science ®Google Scholar
• F. A. Ghasemi, M. N. Niyaraki, I. Ghasemi, and S. Daneshpayeh, Predicting the tensile strength and elongation at break of PP/graphene/glass fiber/EPDM nanocomposites using response surface methodology, Mech. Adv. Mater. Struct., vol. 28, no. 10, pp. 981–989, 2021. DOI: 10.1080/15376494.2019.1614702.
   Web of Science ®Google Scholar
• J. Shojaeiarani, M. Hosseini-Farid, and D. Bajwa, Modeling and experimental verification of nonlinear behavior of cellulose nanocrystals reinforced poly (lactic acid) composites, Mech. Mater., vol. 135, pp. 77–87, 2019. DOI: 10.1016/j.mechmat.2019.05.003.
   Web of Science ®Google Scholar
• Y. Zare and H. Garmabi, Attempts to simulate the modulus of polymer/carbon nanotube nanocomposites and future trends, Polym. Rev., vol. 54, no. 3, pp. 377–400, 2014. DOI: 10.1080/15583724.2013.870574.
   Web of Science ®Google Scholar
• M. Mirnezhad, R. Ansari, and S. Falahatgar, Quantum effects on the mechanical properties of fine-scale CNTs: An approach based on DFT and molecular mechanics model, Eur. Phys. J. Plus, vol. 135, no. 11, pp. 1–71, 2020. DOI: 10.1140/epjp/s13360-020-00878-8.
   Web of Science ®Google Scholar
• R. Razavi, Y. Zare, and K. Y. Rhee, A model for tensile strength of polymer/carbon nanotubes nanocomposites assuming the percolation of interphase regions, Colloids Surf. A., vol. 538, pp. 148–154, 2018. DOI: 10.1016/j.colsurfa.2017.10.063.
   Google Scholar
• Y. Zare , Modeling the yield strength of polymer nanocomposites based upon nanoparticle agglomeration and polymer-filler interphase, J. Colloid Interface Sci., vol. 467, pp. 165–169, 2016. DOI: 10.1016/j.jcis.2016.01.022.
   PubMed Web of Science ®Google Scholar
• Y. Zare, A simple technique for determination of interphase properties in polymer nanocomposites reinforced with spherical nanoparticles, Polymer, vol. 72, pp. 93–97, 2015. DOI: 10.1016/j.polymer.2015.06.060.
   Web of Science ®Google Scholar
• M. H. Al-Saleh, H. K. Al-Anid, and Y. A. Hussain, CNT/ABS nanocomposites by solution processing: Proper dispersion and selective localization for low percolation threshold, Compos. Part A: Appl. Sci. Manuf., vol. 46, pp. 53–59, 2013. DOI: 10.1016/j.compositesa.2012.10.010.
   Web of Science ®Google Scholar
• S. Maiti, R. Bera, S. K. Karan, S. Paria, A. De, and B. B. Khatua, PVC bead assisted selective dispersion of MWCNT for designing efficient electromagnetic interference shielding PVC/MWCNT nanocomposite with very low percolation threshold, Compos. Part B: Eng., vol. 167, pp. 377–386, 2019. DOI: 10.1016/j.compositesb.2019.03.012.
   Web of Science ®Google Scholar
• Y. Zare and K. Y. Rhee, Development and modification of conventional Ouali model for tensile modulus of polymer/carbon nanotubes nanocomposites assuming the roles of dispersed and networked nanoparticles and surrounding interphases, J. Colloid Interface Sci., vol. 506, pp. 283–290, 2017. DOI: 10.1016/j.jcis.2017.07.050.
   PubMed Web of Science ®Google Scholar
• Y. Zare, K. Y. Rhee, and S.-J. Park, A developed equation for electrical conductivity of polymer carbon nanotubes (CNT) nanocomposites based on Halpin-Tsai model, Results Phys., vol. 14, pp. 102406, 2019. DOI: 10.1016/j.rinp.2019.102406.
   Web of Science ®Google Scholar
• Y. Zare and K. Y. Rhee, Effects of interphase regions and filler networks on the viscosity of PLA/PEO/carbon nanotubes biosensor, Polym. Compos., vol. 40, no. 10, pp. 4135–4141, 2019. DOI: 10.1002/pc.25274.
   Web of Science ®Google Scholar
• H. Shin, S. Yang, J. Choi, S. Chang, and M. Cho, Effect of interphase percolation on mechanical behavior of nanoparticle-reinforced polymer nanocomposite with filler agglomeration: A multiscale approach, Chem. Phys. Lett., vol. 635, pp. 80–85, 2015. DOI: 10.1016/j.cplett.2015.06.054.
   Web of Science ®Google Scholar
• R. Qiao and L. C. Brinson, Simulation of interphase percolation and gradients in polymer nanocomposites, Compos. Sci. Technol., vol. 69, no. 3–4, pp. 491–499, 2009. DOI: 10.1016/j.compscitech.2008.11.022.
   Web of Science ®Google Scholar
• Y. Zare and K. Y. Rhee, Modeling of interphase strength between polymer host and clay nanoparticles in nanocomposites by clay possessions and interfacial/interphase terms, Appl. Clay Sci., vol. 192, pp. 105644, 2020. DOI: 10.1016/j.clay.2020.105644.
   Web of Science ®Google Scholar
• Y. Zare and K. Y. Rhee, Simulation of tensile strength for halloysite nanotubes/polymer composites, Appl. Clay Sci., vol. 205, pp. 106055, 2021. DOI: 10.1016/j.clay.2021.106055.
   Web of Science ®Google Scholar
• J. Kolařík, Three-dimensional models for predicting the modulus and yield strength of polymer blends, foams, and particulate composites, Polym. Compos., vol. 18, pp. 433–441, 1997.
   Web of Science ®Google Scholar
• S. Chen, M. Sarafbidabad, Y. Zare, and K. Y. Rhee, Estimation of the tensile modulus of polymer carbon nanotube nanocomposites containing filler networks and interphase regions by development of the Kolarik model, RSC Adv., vol. 8, no. 42, pp. 23825–23834, 2018. DOI: 10.1039/C8RA01910J.
   PubMed Web of Science ®Google Scholar
• Y. Zare and K. Y. Rhee, Prediction of tensile modulus in polymer nanocomposites containing carbon nanotubes (CNT) above percolation threshold by modification of conventional model, Curr. Appl. Phys., vol. 17, no. 6, pp. 873–879, 2017. DOI: 10.1016/j.cap.2017.03.010.
   Web of Science ®Google Scholar
• Y. Zare and K. Y. Rhee, Tensile modulus prediction of carbon nanotubes-reinforced nanocomposites by a combined model for dispersion and networking of nanoparticles, J. Mater. Res. Technol., 2019.
   Google Scholar
• Y. Zare and K. Y. Rhee, A multistep methodology for calculation of the tensile modulus in polymer/carbon nanotube nanocomposites above the percolation threshold based on the modified rule of mixtures, RSC Adv., vol. 8, no. 54, pp. 30986–30993, 2018. DOI: 10.1039/C8RA04992K.
   PubMed Web of Science ®Google Scholar
• A. Lazzeri and V. T. Phuong, Dependence of the Pukánszky’s interaction parameter B on the interface shear strength (IFSS) of nanofiller-and short fiber-reinforced polymer composites, Compos. Sci. Technol., vol. 93, pp. 106–113, 2014. DOI: 10.1016/j.compscitech.2014.01.002.
   Web of Science ®Google Scholar
• Y. Zare, Effects of interphase on tensile strength of polymer/CNT nanocomposites by Kelly–Tyson theory, Mech. Mater., vol. 85, pp. 1–6, 2015. DOI: 10.1016/j.mechmat.2015.02.002.
   Web of Science ®Google Scholar
• C. Feng and L. Jiang, Micromechanics modeling of the electrical conductivity of carbon nanotube (CNT)–polymer nanocomposites, Compos. Part A: Appl. Sci. Manuf., vol. 47, pp. 143–149, 2013. DOI: 10.1016/j.compositesa.2012.12.008.
   Web of Science ®Google Scholar
• Y. Zare, K. Y. Rhee, and S.-J. Park, Modeling the roles of carbon nanotubes and interphase dimensions in the conductivity of nanocomposites, Results Phys., vol. 15, pp. 102562, 2019. DOI: 10.1016/j.rinp.2019.102562.
   Web of Science ®Google Scholar
• P. Pasbakhsh, R. T. De Silva, V. Vahedi, and H. Ismail, The role of halloysite's surface area and aspect ratio on tensile properties of ethylene propylene diene monomer nanocomposites, Int. J. Chem. Mol. Nucl. Mater. Metall. Eng., vol. 8, pp. 1363–1366, 2014.
   Google Scholar
• Y. Zare, A. Daraei, M. Vatani, and P. Aghasafari, An analysis of interfacial adhesion in nanocomposites from recycled polymers, Comput. Mater. Sci., vol. 81, pp. 612–616, 2014. DOI: 10.1016/j.commatsci.2013.08.041.
   Web of Science ®Google Scholar
• Y. Zare, K. Y. Rhee, and S.-J. Park, A modeling methodology to investigate the effect of interfacial adhesion on the yield strength of MMT reinforced nanocomposites, J. Ind. Eng. Chem., vol. 69, pp. 331–337, 2019. DOI: 10.1016/j.jiec.2018.09.039.
   Web of Science ®Google Scholar
• Y. Zare, A model for tensile strength of polymer/clay nanocomposites assuming complete and incomplete interfacial adhesion between the polymer matrix and nanoparticles by the average normal stress in clay platelets, RSC Adv., vol. 6, no. 63, pp. 57969–57976, 2016. DOI: 10.1039/C6RA04132A.
   Web of Science ®Google Scholar
• J. Amraei, J. E. Jam, B. Arab, and R. D. Firouz-Abadi, Modeling the interphase region in carbon nanotube-reinforced polymer nanocomposites, Polym. Compos., vol. 40, No. S2, pp. E1219–E1234, 2019. DOI: 10.1002/pc.24950.
   Google Scholar
• S. A. Tharu and M. B. Panchal, Effect of interphase on elastic and shear moduli of metal matrix nanocomposites, Eur. Phys. J. Plus, vol. 135, no. 1, pp. 121, 2020. DOI: 10.1140/epjp/s13360-020-00227-9.
   Web of Science ®Google Scholar
• M. Loos and I. Manas-Zloczower, Micromechanical models for carbon nanotube and cellulose nanowhisker reinforced composites, Polym. Eng. Sci., vol. 53, no. 4, pp. 882–887, 2013. DOI: 10.1002/pen.23313.
   Web of Science ®Google Scholar
• X. L. Ji, K. J. Jiao, W. Jiang, and B. Z. Jiang, Tensile modulus of polymer nanocomposites, Polym. Eng. Sci., vol. 42, no. 5, pp. 983–993, 2002. DOI: 10.1002/pen.11007.
   Web of Science ®Google Scholar
• N. Ouali, J. Cavaillé, and J. Perez, Elastic, viscoelastic and plastic behavior of multiphase polymer blends, Plast. Rubber Compos. Process. Appl. (UK), vol. 16, pp. 55–60, 1991.
   Web of Science ®Google Scholar
• Y. Zare and K. Y. Rhee, Simulation of Young’s modulus for clay-reinforced nanocomposites assuming mechanical percolation, clay-interphase networks and interfacial linkage, J. Mater. Res. Technol., vol. 9, no. 6, pp. 12473–12483, 2020. DOI: 10.1016/j.jmrt.2020.08.097.
   Google Scholar
• B. Lecouvet, M. Sclavons, S. Bourbigot, and C. Bailly, Towards scalable production of polyamide 12/halloysite nanocomposites via water-assisted extrusion: Mechanical modeling, thermal and fire properties, Polym. Adv. Technol., vol. 25, no. 2, pp. 137–151, 2014. DOI: 10.1002/pat.3215.
   Web of Science ®Google Scholar
• Y. He et al., Modified natural halloysite/potato starch composite films, Carbohydr. Polym., vol. 87, no. 4, pp. 2706–2711, 2012. DOI: 10.1016/j.carbpol.2011.11.057.
   Web of Science ®Google Scholar
• D. Pedrazzoli, A. Pegoretti, R. Thomann, J. Kristof, and J. Karger-Kocsis, Toughening linear low-density polyethylene with halloysite nanotubes, Polym. Compos., vol. 36, no. 5, pp. 869–883, 2015. DOI: 10.1002/pc.23006.
   Web of Science ®Google Scholar
• K. S. Lee and Y. W. Chang, Thermal, mechanical, and rheological properties of poly (ε-caprolactone)/halloysite nanotube nanocomposites, J. Appl. Polym. Sci., vol. 128, no. 5, pp. 2807–2816, 2013. DOI: 10.1002/app.38457.
   Web of Science ®Google Scholar
• B. Lecouvet, J. Horion, C. D’haese, C. Bailly, and B. Nysten, Elastic modulus of halloysite nanotubes, Nanotechnology, vol. 24, no. 10, pp. 105704, 2013. DOI: 10.1088/0957-4484/24/10/105704.
   PubMed Web of Science ®Google Scholar