References
- Amnieh, H.B., Zamzam, M.S. and Kolahchi, R. (2018), "Dynamic analysis of non-homogeneous concrete blocks mixed by SiO2 nanoparticles subjected to blast load experimentally and theoretically", Constr. Build. Mater., 174, 633-644. https://doi.org/10.1016/j.conbuildmat.2018.04.140.
- Arani, A.G., Cheraghbak, A. and Kolahchi, R. (2016a), "Dynamic buckling of FGM viscoelastic nano-plates resting on orthotropic elastic medium based on sinusoidal shear deformation theory", Struct. Eng. Mech., 60(3), 489-505. http://dx.doi.org/10.12989/sem.2016.60.3.489.
- Arani, A.G., Jafari, G.S. and Kolahchi, R. (2016b), "Vibration analysis of nanocomposite micro plates integrated with sensor and actuator layers using surface SSDPT", Polymer Compos., 39(6), 1936-1949. https://doi.org/10.1002/pc.24150.
- Arencon, D., Velasco, J.I., Realinho, V., Sanchez-Soto, M. and Gordillo, A. (2007), "Fracture toughness of glass microsphere-filled polypropylene and polypropylene/poly (ethylene terephthalate-co-isophthalate) blend-matrix composites", J. Mater, Sci., 42(1), 19-29. https://doi.org/10.1007/s10853-006-1036-1.
- Asadi, H. and Beheshti, A. R. (2018), "On the nonlinear dynamic responses of FG-CNTRC beams exposed to aerothermal loads using third-order piston theory", Acta Mechanica, 229(6), 2413-2430. https://doi.org/10.1007/s00707-018-2121-7.
- Bellifa, H., Benrahou, K.H., Hadji, L., Houari, M.S.A. and Tounsi, A. (2016), "Bending and free vibration analysis of functionally graded plates using a simple shear deformation theory and the concept the neutral surface position", J. Brazilian Soc. Mech. Sci. Eng., 38(1), 265-275. https://doi.org/10.1007/s40430-015-0354-0
- Corigliano, A., Rizzi, E. and Papa, E. (2000), "Experimental characterization and numerical simulations of a syntactic-foam/glass-fibre composite sandwich", Compos. Sci. Technol., 60(11), 2169-2180. https://doi.org/10.1016/S0266-3538(00)00118-4
- Crawley, E.F. (1979), "The natural modes of graphite/epoxy cantilever plates and shells", J. Compos. Mater., 13(3), 195-205. https:doi.org/10.1177/002199837901300302.
- Dombrovsky, L.A., Randrianalisoa, J.H. and Baillis, D. (2007), "Infrared radiative properties of polymer coatings containing hollow microspheres", Int. J. Heat Mass Transfer, 50(7-8), 1516-1527. https://doi.org/10.1016/j.ijheatmasstransfer.2006.08.034.
- Doumbia, A.S., Bourmaud, A., Jouannet, D., Falher, T., Orange, F., Retoux, R. and Cauret, L. (2015), "Hollow microspheres-poly-(propylene) blends: Relationship between microspheres degradation and composite properties", Polymer Degradation Stability, 114, 146-153. https://doi.org/10.1016/j.polymdegradstab.2014.12.024.
- Esmaeili, H.A., Ghaitani, M .M and Kolahchi, R. (2014), "Oil and Gas Pipes Reinforced with Carbon Nanotubes: Bending Analysis". International Conference on Civil, Biological and Environmental Engineering (CBEE-2014) May 27-28, 2014 Istanbul (Turkey) https://doi.org/10.1016/j.jmatprotec.2006.03.104.
- Ferreira, J.A.M., Capela, C. and Costa, J.D. (2010), "A study of the mechanical behaviour on fibre reinforced hollow microspheres hybrid composites", Compos. Part A: Appl. Sci. Manufact., 41(3), 345-352. https://doi.org/10.1016/j.compositesa.2009.10.018.
- Ghannadpour, S.A.M. (2018), "Ritz method application to bending, buckling and vibration analyses of timoshenko beams via nonlocal elasticity", J. Appl. Comput. Mech., 4(1), 16-26. DOI: 10.22055/JACM.2017.21915.1120.
- GhannadPour, S.A.M. and Alinia, M.M. (2006), "Large deflection behavior of functionally graded plates under pressure loads", Compos. Struct., 75(1-4), 67-71. https://doi.org/10.1016/j.compstruct.2006.04.004.
- Ghannadpour, S.A.M., Mohammadi, B. and Fazilati, J. (2013), "Bending, buckling and vibration problems of nonlocal Euler beams using Ritz method", Compos. Struct., 96, 584-589. https://doi.org/10.1016/j.compstruct.2012.08.024.
- Gupta, N. and Nagorny, R. (2006), "Tensile properties of glass microballoon-epoxy resin syntactic foams", J. Appl. Polymer Sci., 102(2), 1254-1261. https://doi.org/10.1002/app.23548.
- Hajmohammad, M.H., Azzizkhani, M.B. and Kolahchi, R. (2018c), "Multiphase nanocomposite viscoelastic laminated conical shells subjected to magneto-hygrothermal loads: Dynamic buckling analysis", Int. J. Mech. Sci., 137, 205-213. https://doi.org/10.1016/j.ijmecsci.2018.01.026.
- Hajmohammad, M.H., Farrokhian, A. and Kolahchi, R. (2018b), "Smart control and vibration of viscoelastic actuator-multiphase nanocomposite conical shells-sensor considering hygrothermal load based on layerwise theory", Aerosp. Sci.Technol., 78, 260-270. https://doi.org/10.1016/j.ast.2018.04.030.
- Hajmohammad, M.H., Zarei, M.S., Farrokhian, A. and Kolahchi, R. (2018a), "A layerwise theory for buckling analysis of truncated conical shells reinforced by CNTs and carbon fibers integrated with piezoelectric layers in hygrothermal environment", Adv. Nano Res., 6(4), 299-321. https://doi.org/10.12989/anr.2018.6.4.299.
- Heydari, M.M., Kolahchi, R., Heydari, M. and Abbasi, A. (2014), "Exact solution for transverse bending analysis of embedded laminated Mindlin plate", Struct. Eng. Mech., 49(5), 661-672. http://dx.doi.org/10.12989/sem.2014.49.5.661.
- Jassas, M.R., Bidgoli, M.R. and Kolahchi, R. (2019), "Forced vibration analysis of concrete slabs reinforced by agglomerated SiO2 nanoparticles based on numerical methods", Constr. Build. Mater., 211, 796-806. https://doi.org/10.1016/j.conbuildmat.2019.03.263.
- Jones, R.M. (1975), Mechanics of Composite Materials, Taylor & Francis, Philadelphia.
- Kang, D., Hwang, S.W., Jung, B.N. and Shim, J.K. (2017), "Effect of hollow glass microsphere (HGM) on the dispersion state of single-walled carbon nanotube (SWNT", Compos. Part B: Eng., 117, 35-42. https://doi.org/10.1016/j.compositesb.2017.02.038.
- Kempf, U.W. (2000), U.S. Patent No. 6,042,936. Washington, DC: U.S. Patent and Trademark Office.
- Kolahchi, R., Bidgoli, A.M.M. and Heydari, M.M. (2015), "Size-dependent bending analysis of FGM nano-sinusoidal plates resting on orthotropic elastic medium", Struct. Eng. Mech., 55(5), 1001-1014. http://dx.doi.org/10.12989/sem.2015.55.5.1001.
- Kolahchi, R., Hosseini, H., Fakhar, M.H., Taherifar, R. and Mahmoudi, M. (2019), "A numerical method for magneto-hygro-thermal postbuckling analysis of defective quadrilateral graphene sheets using higher order nonlocal strain gradient theory with different movable boundary conditions", Comput. Math. Appl., 78(6), 2018-2034. https://doi.org/10.1016/j.camwa.2019.03.042.
- Kumar, N., Mireja, S., Khandelwal, V., Arun, B. and Manik, G. (2017), "Light-weight high-strength hollow glass microspheres and bamboo fiber based hybrid polypropylene composite: A strength analysis and morphological study", Compos. Part B: Eng., 109, 277-285. https://doi.org/10.1016/j.compositesb.2016.10.052.
- Li, J., Luo, X. and Lin, X. (2013), "Preparation and characterization of hollow glass microsphere reinforced poly (butylene succinate) composites", Mater. Design, 46, 902-909. https://doi.org/10.1016/j.matdes.2012.11.054.
- Liang, J.Z. and Li, R. K. Y. (2000), "Effect of filler content and surface treatment on the tensile properties of glass-bead-filled polypropylene composites", Polymer Int., 49(2), 170-174. https://doi.org/10.1002/(SICI)1097-0126(200002)49.
- Ovesy, H.R. and Ghannadpour, S (2009), "An exact finite strip for the calculation of relative post-buckling stiffness of isotropic plates", Struct. Eng. Mech., 31(2), 181-210. http://dx.doi.org/10.12989/sem.2009.31.2.181.
- Ovesy, H.R. and Ghannadpour, S.A.M. (2006), "Large deflection behavior of functionally graded plates under pressure loads, using finite strip method", Proceedings of the 3rd European Conference on Computational Mechanics (pp. 697-697). https://doi.org/10.1007/1-4020-5370-3_697.
- Reddy, J.N. and Liu, C.F. (1985), "A higher-order shear deformation theory of laminated elastic shells" Int. J. Eng. Sci., 23(3), 319-330. https://doi.org/10.1016/0020-7225(85)90051-5
- Taghizadeh, M., Ovesy, H.R. and Ghannadpour, S.A.M. (2015), "Nonlocal integral elasticity analysis of beam bending by using finite element method", Struct. Eng. Mech., 54(4), 755-769. http://dx.doi.org/10.12989/sem.2015.54.4.755.
- Wang, J., Liang, G., He, S. and Yang, L. (2010), "Curing behavior and mechanical properties of hollow glass microsphere/bisphenol a dicyanate ester composites", J. Appl. Polymer Sci., 118(3), 1252-1256. https://doi.org/10.1002/app.32446.
- Wang, L., Yang, X., Zhang, J., Zhang, C. and He, L. (2014), "The compressive properties of expandable microspheres/epoxy foams", Compos. Part B: Eng., 56, 724-732. https://doi.org/10.1016/j.compositesb.2013.09.030.
- Wu, X., Dong, L., Zhang, F., Zhou, Y., Wang, L., Wang, D. and Yin, Y. (2016), "Preparation and characterization of three phase epoxy syntactic foam filled with carbon fiber reinforced hollow epoxy macrospheres and hollow glass microspheres", Polymer Compos., 37(2), 497-502. https://doi.org/10.1002/pc.23205
- Xiao, J.R., Gilhooley, D.F., Batra, R.C., Gillespie Jr. J.W. and McCarthy, M.A. (2008), "Analysis of thick composite laminates using a higher-order shear and normal deformable plate theory (HOSNDPT) and a meshless method", Compos. Part B: Eng., 39(2), 414-427. https://doi.org/10.1016/j.compositesb.2006.12.009.
- Yung, K.C., Zhu, B.L., Yue, T.M. and Xie, C.S. (2009), "Preparation and properties of hollow glass microsphere-filled epoxy-matrix composites", Compos. Sci. Technol., 69(2), 260-264. https://doi.org/10.1016/j.compscitech.2008.10.014.
- Zamanian, M., Kolahchi, R. and Bidgoli, M.R. (2017), "Agglomeration effects on the buckling behaviour of embedded concrete columns reinforced with SiO2 nano-particles", Wind Struct., 24(1), 43-57. http://dx.doi.org/10.12989/was.2017.24.1.043.
- Zhang, L. and Ma, J. (2010), "Effect of coupling agent on mechanical properties of hollow carbon microsphere/phenolic resin syntactic foam", Compos. Sci. Technol., 70(8), 1265-1271. https://doi.org/10.1016/j.compscitech.2010.03.016.
- Zhang, L. and Ma, J. (2013), "Effect of carbon nanofiber reinforcement on mechanical properties of syntactic foam", Mater. Sci. Eng.: A, 574, 191-196. https://doi.org/10.1016/j.msea.2013.03.028.
- Zhu, B.L., Zheng, H., Wang, J., Ma, J., Wu, J. and Wu, R. (2014), "Tailoring of thermal and dielectric properties of LDPE-matrix composites by the volume fraction, density, and surface modification of hollow glass microsphere filler", Compos.Part B: Eng., 58, 91-102. https://doi.org/10.1016/j.compositesb.2013.10.029.
- Zidi, M., Tounsi, A., Houari, M.S.A. and Beg, O.A. (2014), "Bending analysis of FGM plates under hygro-thermo-mechanical loading using a four variable refined plate theory", Aerosp. Sci. Technol., 34, 24-34. https://doi.org/10.1016/j.ast.2014.02.001.