Thermo-mechanical vibration analysis of sandwich beams with functionally graded carbon nanotube-reinforced composite face sheets based on a higher-order shear deformation beam theory

References

• F. Ebrahimi and E. Salari, Nonlocal thermo-mechanical vibration analysis of functionally graded nanobeams in thermal environment, Acta Astronaut., vol. 113, pp. 29–50, 2015.
   Web of Science ®Google Scholar
• F. Ebrahimi, M. Ghadiri, E. Salari, S. Hoseini, and G. Shaghaghi, Application of the differential transformation method for nonlocal vibration analysis of functionally graded nanobeams, J. Mech. Sci. Technol., vol. 29, no. 3, pp. 1207–1215, 2015.
   Web of Science ®Google Scholar
• F. Ebrahimi and E. Salari, Thermal buckling and free vibration analysis of size dependent Timoshenko FG nanobeams in thermal environments, Compos. Struct., vol. 128, pp. 363–380, 2015.
   Web of Science ®Google Scholar
• R.K. Bhangale and N. Ganesan, Thermoelastic buckling and vibration behavior of a functionally graded sandwich beam with constrained viscoelastic core, J. Sound Vib., vol. 295, no. 1–2, pp. 294–316, 2006.
   Web of Science ®Google Scholar
• S. Pradhan and T. Murmu, Thermo-mechanical vibration of FGM sandwich beam under variable elastic foundations using differential quadrature method, J. Sound Vib., vol. 321, no. 1, pp. 342–362, 2009.
   Web of Science ®Google Scholar
• A. Zenkour and M. Sobhy, Thermal buckling of various types of FGM sandwich plates, Compos. Struct., vol. 93, no. 1, pp. 93–102, 2010.
   Web of Science ®Google Scholar
• A.M. Zenkour, A comprehensive analysis of functionally graded sandwich plates: Part 2—Buckling and free vibration, Int. J. Solids Struct., vol. 42, no. 18–19, pp. 5243–5258, 2005.
   Web of Science ®Google Scholar
• O. Rahmani and O. Pedram, Analysis and modeling the size effect on vibration of functionally graded nanobeams based on nonlocal Timoshenko beam theory, Int. J. Eng. Sci., vol. 77, pp. 55–70, 2014.
   Web of Science ®Google Scholar
• A.K.-T. Lau and D. Hui, The revolutionary creation of new advanced materials—Carbon nanotube composites, Composites Part B, vol. 33, no. 4, pp. 263–277, 2002.
   Web of Science ®Google Scholar
• K.T. Lau, C. Gu, G.-H. Gao, H.-Y. Ling, and S.R. Reid Stretching process of single-and multi-walled carbon nanotubes for nanocomposite applications, Carbon, vol. 42, no. 2, pp. 426–428, 2004.
   Web of Science ®Google Scholar
• A.M. Esawi and M.M. Farag, Carbon nanotube reinforced composites: Potential and current challenges, Mater. Des., vol. 28, no. 9, pp. 2394–2401, 2007.
   Web of Science ®Google Scholar
• P. Bonnet, D. Sireude, B. Garnier, and O. Chauvet, Thermal properties and percolation in carbon nanotube-polymer composites, Appl. Phys. Lett., vol. 91, no. 20, pp. 201910-1–201910-3, 2007.
   Web of Science ®Google Scholar
• J. Fidelus et al., Thermo-mechanical properties of randomly oriented carbon/epoxy nanocomposites, Composites Part A, vol. 36, no. 11, pp. 1555–1561, 2005.
   Web of Science ®Google Scholar
• P. Ajayan et al., Aligned carbon nanotube arrays formed by cutting a polymer resin–nanotube composite, Science, vol. 265, no. 5176, pp. 1212–1214, 1994.
   PubMed Web of Science ®Google Scholar
• G. Odegard et al., Constitutive modeling of nanotube–reinforced polymer composites, Compos. Sci. Technol., vol. 63, no. 11, pp. 1671–1687, 2003.
   Web of Science ®Google Scholar
• M. Griebel and J. Hamaekers, Molecular dynamics simulations of the elastic moduli of polymer–carbon nanotube composites, Comput. Methods Appl. Mech. Eng., vol. 193, no. 17, pp. 1773–1788, 2004.
   Web of Science ®Google Scholar
• N. Hu et al., Prediction of elastic properties of carbon nanotube reinforced composites, Proc. R. Soc. London, Ser. A, vol. 461, no. 2058, pp. 1685–1710, 2005.
   Web of Science ®Google Scholar
• E.T. Thostenson and T.-W. Chou, On the elastic properties of carbon nanotube-based composites: Modelling and characterization, J. Phys. D, vol. 36, no. 5, p. 573, 2003.
   Google Scholar
• R. Zhu, E. Pan, and A. Roy, Molecular dynamics study of the stress–strain behavior of carbon-nanotube reinforced Epon 862 composites, Mater. Sci. Eng. A, vol. 447, no. 1, pp. 51–57, 2007.
   Web of Science ®Google Scholar
• B. Ashrafi and P. Hubert, Modeling the elastic properties of carbon nanotube array/polymer composites, Compos. Sci. Technol., vol. 66, no. 3, pp. 387–396, 2006.
   Web of Science ®Google Scholar
• Y. Xu, G. Ray, and B. Abdel-Magid, Thermal behavior of single-walled carbon nanotube polymer–matrix composites, Composites Part A, vol. 37, no. 1, pp. 114–121, 2006.
   Web of Science ®Google Scholar
• Y. Han and J. Elliott, Molecular dynamics simulations of the elastic properties of polymer/carbon nanotube composites, Comput. Mater. Sci., vol. 39, no. 2, pp. 315–323, 2007.
   Web of Science ®Google Scholar
• D. Qian et al., Load transfer and deformation mechanisms in carbon nanotube-polystyrene composites, Appl. Phys. Lett., vol. 76, no. 20, pp. 2868–2870, 2000.
   Web of Science ®Google Scholar
• G.D. Seidel and D.C. Lagoudas, Micromechanical analysis of the effective elastic properties of carbon nanotube reinforced composites, Mech. Mater., vol. 38, no. 8, pp. 884–907, 2006.
   Web of Science ®Google Scholar
• H.-S. Shen, Nonlinear bending of functionally graded carbon nanotube-reinforced composite plates in thermal environments, Compos. Struct., vol. 91, no. 1, pp. 9–19, 2009.
   Web of Science ®Google Scholar
• L.-L. Ke, J. Yang, and S. Kitipornchai, Nonlinear free vibration of functionally graded carbon nanotube-reinforced composite beams, Compos. Struct., vol. 92, no. 3, pp. 676–683, 2010.
   Web of Science ®Google Scholar
• L.-L. Ke, J. Yang, and S. Kitipornchai, Dynamic stability of functionally graded carbon nanotube-reinforced composite beams, Mech. Adv. Mater. Struct., vol. 20, no. 1, pp. 28–37, 2013.
   Web of Science ®Google Scholar
• Z.-X. Wang and H.-S. Shen, Nonlinear vibration of nanotube-reinforced composite plates in thermal environments, Comput. Mater. Sci., vol. 50, no. 8, pp. 2319–2330, 2011.
   Web of Science ®Google Scholar
• Z.-X. Wang and H.-S. Shen, Nonlinear vibration and bending of sandwich plates with nanotube-reinforced composite face sheets, Composites Part B, vol. 43, no. 2, pp. 411–421, 2012.
   Web of Science ®Google Scholar
• J. Yang, L.-L. Ke, and C. Feng, Dynamic buckling of thermo-electro-mechanically loaded FG-CNTRC beams, Int. J. Struct. Stab. Dyn., art. ID 1540017, 2015.
   Web of Science ®Google Scholar
• H. Wu, S. Kitipornchai, and J. Yang, Free vibration and buckling analysis of sandwich beams with functionally graded carbon nanotube-reinforced composite face sheets, Int. J. Struct. Stab. Dyn., art. ID 1540011, 2015.
   Web of Science ®Google Scholar
• R. Kadoli, K. Akhtar, and N. Ganesan, Static analysis of functionally graded beams using higher order shear deformation theory, Appl. Math. Modell., vol. 32, no. 12, pp. 2509–2525, 2008.
   Web of Science ®Google Scholar
• M. Şimşek, Fundamental frequency analysis of functionally graded beams by using different higher-order beam theories, Nucl. Eng. Des., vol. 240, no. 4, pp. 697–705, 2010.
   Web of Science ®Google Scholar
• A. Mahi et al., An analytical method for temperature-dependent free vibration analysis of functionally graded beams with general boundary conditions, Compos. Struct., vol. 92, no. 8, pp. 1877–1887, 2010.
   Web of Science ®Google Scholar
• L.O. Larbi, A. Kaci, M.S.A. Houari, and A. Tounsi An efficient shear deformation beam theory based on neutral surface position for bending and free vibration of functionally graded beams, Mech. Based Des. Struct. Mach., vol. 41, no. 4, pp. 421–433, 2013.
   Web of Science ®Google Scholar
• T.P. Vo, H.-T. Thai, T.-K. Nguyen, and F. Inam Static and vibration analysis of functionally graded beams using refined shear deformation theory, Meccanica, vol. 49, no. 1, pp. 155–168, 2014.
   Web of Science ®Google Scholar
• T.-K. Nguyen, T.T.-P. Nguyen, T. P. Vo, and H.-T. Thai Vibration and buckling analysis of functionally graded sandwich beams by a new higher-order shear deformation theory, Composites Part B, vol. 76, pp. 273–285, 2015.
   Web of Science ®Google Scholar
• T.P. Vo, H.-T. Thai, T.-K. Nguyen, F. Inam, and Jaehong Lee A quasi-3D theory for vibration and buckling of functionally graded sandwich beams, Compos. Struct., vol. 119, p. 1–12, 2015.
   Web of Science ®Google Scholar
• H.A. Atmane, A. Tounsi, and F. Bernard, Effect of thickness stretching and porosity on mechanical response of a functionally graded beams resting on elastic foundations, Int. J. Mech. Mater. Des., vol. 11, pp. 1–14, 2015.
   Google Scholar
• M.C. Amirani, S. Khalili, and N. Nemati, Free vibration analysis of sandwich beam with FG core using the element free Galerkin method, Compos. Struct., vol. 90, no. 3, pp. 373–379, 2009.
   Web of Science ®Google Scholar
• T.Q. Bui, A. Khosravifard, C. Zhang, M.R. Hematiyan, and M.V. Golub Dynamic analysis of sandwich beams with functionally graded core using a truly meshfree radial point interpolation method, Eng. Struct., vol. 47, pp. 90–104, 2013.
   Web of Science ®Google Scholar
• T.P. Vo, H.T. Thai, T.K. Nguyen, A. Maheri, and J. Lee Finite element model for vibration and buckling of functionally graded sandwich beams based on a refined shear deformation theory, Eng. Struct., vol. 64, pp. 12–22, 2014.
   Web of Science ®Google Scholar
• E. Carrera, S. Brischetto, M. Cinefra, and M. Soave Effects of thickness stretching in functionally graded plates and shells, Composites Part B, vol. 42, no. 2, pp. 123–133, 2011.
   Web of Science ®Google Scholar
• H.T. Thai, T.P. Vo, T.Q. Bui, and T.K. Nguyen A quasi-3D hyperbolic shear deformation theory for functionally graded plates, Acta Mech., vol. 225, no. 3, pp. 951–964, 2014.
   Web of Science ®Google Scholar
• J. Mantari and C.G. Soares, Generalized hybrid quasi-3D shear deformation theory for the static analysis of advanced composite plates, Compos. Struct., vol. 94, no. 8, pp. 2561–2575, 2012.
   Web of Science ®Google Scholar
• A. Zenkour, Benchmark trigonometric and 3-D elasticity solutions for an exponentially graded thick rectangular plate, Arch. Appl. Mech., vol. 77, no. 4, pp. 197–214, 2007.
   Web of Science ®Google Scholar
• E. Carrera, G. Giunta, and M. Petrolo, Beam Structures: Classical and Advanced Theories, John Wiley & Sons, UK, 2011.
   Google Scholar
• E. Carrera, M. Filippi, and E. Zappino, Free vibration analysis of laminated beam by polynomial, trigonometric, exponential and zig-zag theories, J. Compos. Mater., art. ID 0021998313497775, 2013.
   Web of Science ®Google Scholar
• D.S. Mashat, E. Carrera, A.M. Zenkour, S.A. Al Khateeb, and M. Filippi Free vibration of FGM layered beams by various theories and finite elements, Composites Part B, vol. 59, pp. 269–278, 2014.
   Web of Science ®Google Scholar
• H.-S. Shen and Y. Xiang, Nonlinear analysis of nanotube-reinforced composite beams resting on elastic foundations in thermal environments, Eng. Struct., vol. 56, pp. 698–708, 2013.
   Web of Science ®Google Scholar
• H.-S. Shen, Thermal postbuckling behavior of functionally graded cylindrical shells with temperature-dependent properties, Int. J. Solids Struct., vol. 41, no. 7, pp. 1961–1974, 2004.
   Web of Science ®Google Scholar
• C.-L. Zhang and H.-S. Shen, Temperature-dependent elastic properties of single-walled carbon nanotubes: Prediction from molecular dynamics simulation, Appl. Phys. Lett., vol. 89, no. 8, art. ID 081904, 2006.
   PubMed Web of Science ®Google Scholar
• A. Mahi and A. Tounsi, A new hyperbolic shear deformation theory for bending and free vibration analysis of isotropic, functionally graded, sandwich and laminated composite plates, Appl. Math. Modell., vol. 39, no. 9, pp. 24889–2508, 2015.
   Web of Science ®Google Scholar
• H.-S. Shen and C.-L. Zhang, Thermal buckling and postbuckling behavior of functionally graded carbon nanotube-reinforced composite plates, Mater. Des., vol. 31, no. 7, pp. 3403–3411, 2010.
   Web of Science ®Google Scholar