The Effects of Carbon Nanotube Orientation and Aggregation on Static Behavior of Functionally Graded Nanocomposite Cylinders

Journal of Solid Mechanics

مقاله 15، دوره 9، شماره 1، خرداد 2017، صفحه 198-212   

نوع مقاله: Research Paper

نویسندگان

R Moradi-Dastjerdi¹؛ G Payganeh^{* 1}؛ M Tajdari²

¹School of Mechanical Engineering, Shahid Rajaee Teacher Training University (SRTTU), Tehran, Iran

²Department of Mechanical Engineering, Arak Branch, Islamic Azad University, Arak, Iran

چکیده

In this paper, the effects of carbon nanotube (CNT) orientation and aggregation on the static behavior of functionally graded nanocomposite cylinders reinforced by CNTs are investigated based on a mesh-free method. The used nanocomposites are made of the straight CNTs that are embedded in an isotropic polymer as matrix. The straight CNTs are oriented, randomly or aligned or local aggregated into some clusters. The volume fractions of the CNTs and clusters are assumed variable along the thickness, so mechanical properties of the carbon nanotube reinforced composite cylinders are variable and are estimated based on the Eshelby–Mori–Tanaka approach. The obtained mechanical properties are verified by experimental and theoretical results that are reported in literatures. In the mesh-free analysis, moving least squares (MLSs) shape functions are used for approximation of displacement field in the weak form of equilibrium equation. Also, the effects of CNT distribution type and cylinder thickness are investigated on the stress distribution and displacement field of these cylinders. 

کلیدواژه‌ها

Nanocomposite cylinder؛ Aggregation؛ Mori–Tanaka؛ Static behavior؛ Functionally graded؛ Mesh-Free

مراجع

[1] Iijima S., 1991, Helical microtubules of graphitic carbon, Nature 354: 56-58.
[2] Wagner H.D., Lourie O., Feldman Y., Tenne R., 1997, Stress-induced fragmentation of multiwall carbon nanotubes in a polymer matrix, Applied Physics Letters 72: 188-190.
[3] Griebel M., Hamaekers J., 2004, Molecular dynamic simulations of the elastic moduli of polymer-carbon nanotube composites, Computer Methods in Applied Mechanics and Engineering 193: 1773-1788.
[4] Fidelus J.D., Wiesel E., Gojny F.H., Schulte K., Wagner H.D., 2005, Thermo-mechanical properties of randomly oriented carbon/epoxy nanocomposites, Composite Part A 36: 1555-1561.
[5] Song Y.S., Youn J.R., 2006, Modeling of effective elastic properties for polymer based carbon nanotube composites, Polymer 47: 1741-1748.
[6] Han Y., Elliott J., 2007, Molecular dynamics simulations of the elastic properties of polymer/carbon nanotube composites, Computational Materials Science 39: 315-323.
[7] Zhu R., Pan E., Roy A.K., 2007, Molecular dynamics study of the stress–strain behavior of carbon-nanotube reinforced Epon 862 composites, Materials Science and Engineering A 447: 51-57.
[8] Manchado M.A.L., Valentini L., Biagiotti J., Kenny J.M., 2005, Thermal and mechanical properties of single-walled carbon nanotubes-polypropylene composites prepared by melt processing, Carbon 43: 1499-1505.
[9] Qian D., Dickey E.C., Andrews R., Rantell T., 2000, Load transfer and deformation mechanisms in carbon nanotube–polystyrene composites, Applied Physics Letters 76: 2868-2870.
[10] Mokashi V.V., Qian D., Liu Y.J., 2007, A study on the tensile response and fracture in carbon nanotube-based composites using molecular mechanics, Composites Science and Technology 67: 530-540.
[11] Montazeri A., Javadpour J., Khavandi A., Tcharkhtchi A., Mohajeri A., 2010, Mechanical properties of multi-walled carbon nanotube/epoxy composites, Material & Design 31: 4202-4208.
[12] Barai P., Weng G.J., 2011, A theory of plasticity for carbon nanotube reinforced composite, International Journal of Plastic 27: 539-559.
[13] Yang Q.S., He X.Q., Liu X., Leng F.F., Mai Y.W., 2012, The effective properties and local aggregation effect of CNT/SMP composites, Composites Part B 43: 33-38.
[14] Jam J.E., Pourasghar A., kamarian S., Maleki Sh., 2013, Characterizing elastic properties of carbon nanotube-based composites by using an equivalent fiber, Polymer Composites 34: 241-251.
[15] Farajpour A., Mohammadi M., Shahidi A.R., Mahzoon, M., 2011, Axisymmetric buckling of the circular graphene sheets with the nonlocal continuum plate model, Physica E: Low-dimensional Systems and Nanostructures 43: 1820-1825.
[16] Jonghorban M., Zare A., 2011, Free vibration analysis of functionally graded carbon nanotubes with variable thickness by differential quadrature method, Physica E: Low-dimensional Systems and Nanostructures 43:1602-1904.
[17] Malekzadeh P., Farajpour A., 2012, Axisymmetric free and forced vibrations of initially stressed circular nanoplates embedded in an elastic medium, Acta Mechanica 223: 2311-2330.
[18] Danesh M., Farajpour A., Mohammadi M., 2012, Axial vibration analysis of a tapered nanorod based on nonlocal elasticity theory and differential quadrature method, Mechanics Research Communications 39: 23-27.
[19] Gholipour A., Farokhi H., Ghayesh M.H., 2015, In-plane and out-of-plane nonlinear size-dependent dynamics of microplates, Nonlinear Dynamics 79: 1771-1785.
[20] Golmakani M.E., Rezatalab J., 2015, Nonuniform biaxial buckling of orthotropic nanoplates embedded in an elastic medium based on nonlocal Mindlin plate theory, Composite Structures 119: 238-250.
[21] Shen H.S., 2011, Postbuckling of nanotube-reinforced composite cylindrical shells in thermal environments, Part I: Axially-loaded shells, Composite Structures 93: 2096-2108.
[22] Tsai C., Zhang C., Jack D.A., Liang R., Wang B., 2011, The effect of inclusion waviness and waviness distribution on elastic properties of fiber-reinforced composites, Composites Part B 42: 62-70.
[23] Sobhani Aragh B., Nasrollah Barati A.H., Hedayati H., 2012, Eshelby–Mori–Tanaka approach for vibrational behavior of continuously graded carbon nanotube–reinforced cylindrical panels, Composites Part B 43: 1943-1954.
[24] Pourasghar A., Yas M.H., Kamarian S., 2013, Local aggregation effect of CNT on the vibrational behavior of four-parameter continuous grading nanotube-reinforced cylindrical panels, Polymer Composites 34: 707-721.
[25] Moradi-Dastjerdi R., Payganeh Gh., Malek-Mohammadi H., 2015, Free vibration analyses of functionally graded CNT reinforced nanocomposite sandwich plates resting on elastic foundation, Journal of Solid Mechanics 7:158-172.
[26] Foroutan M., Moradi-Dastjerdi R., Sotoodeh-Bahreini R., 2012, Static analysis of FGM cylinders by a mesh-free method, Steel and Composite Structures 12: 1-11.
[27] Mollarazi H.R., Foroutan M., Moradi-Dastjerdi R., 2011, Analysis of free vibration of functionally graded material (FGM) cylinders by a meshless method, Journal of Composite Materials 46: 507-515.
[28] Moradi-Dastjerdi R., Foroutan M., 2014, Free vibration analysis of orthotropic FGM cylinders by a mesh-free method, Journal of Solid Mechanics 6: 70-81.
[29] Foroutan M., Moradi-Dastjerdi R., 2011, Dynamic analysis of functionally graded material cylinders under an impact load by a mesh-free method, Acta Mechanica 219: 281-290.
[30] Moradi-Dastjerdi R., Foroutan M., Pourasghar A., Sotoudeh-Bahreini R., 2013, Static analysis of functionally graded carbon nanotube-reinforced composite cylinders by a mesh-free method, Journal of Reinforced Plastics and Composites 32: 593-601.
[31] Moradi-Dastjerdi R., Foroutan M., Pourasghar A., 2013, Dynamic analysis of functionally graded nanocomposite cylinders reinforced by carbon nanotube by a mesh-free method, Material & Design 44: 256-266.
[32] Moradi-Dastjerdi R., Pourasghar A., Foroutan M., 2013, The effects of carbon nanotube orientation and aggregation on vibrational behavior of functionally graded nanocomposite cylinders by a mesh-free method, Acta Mechanica 224: 2817-2832.
[33] Lancaster P., Salkauskas K., 1981, Surface generated by moving least squares methods, Mathematics of Computation 37: 141-158.
[34] Shi D.L., Feng X.Q., Yonggang Y.H., Hwang K.C., Gao H., 2004, The effect of nanotube waviness and agglomeration on the elasticproperty of carbon nanotube reinforced composites, Journal of Engineering Materials and Technology 126: 250-257.
[35] Eshelby J.D., 1957, The determination of the elastic field of an ellipsoidal inclusion, and related problems, Proceedings of the Royal Society of London Series A 241: 376-396.
[36] Mura T., 1982, Micromechanics of Defects in Solids, The Hague, Martinus Nijhoff Pub.
[37] Prylutskyy Y.I., Durov S.S., Ogloblya O.V., Buzaneva E.V., Scharff P., 2000, Molecular dynamics simulation of mechanical, vibrational and electronic properties of carbon nanotubes, Computational Materials Science 17: 352-355.
[38] Tutuncu N., Temel B., 2009, A novel approach to stress analysis of pressurized FGM cylinders, disks and spheres, Journal of Composite Structures 91: 385-390.
[39] Odegard G.M., Gates T.S., Wise K.E., Park C., Siochi E.J., 2003, Constitutive modeling of nanotube-reinforced polymer composites, Composites Science and Technology 63: 1671-1687.