References
- Abdelaziz, H.H., Meziane, M.A.A., Bousahla, A.A., Tounsi, A., Mahmoud, S.R. and Alwabli, A.S. (2017), "An efficient hyperbolic shear deformation theory for bending, buckling and free vibration of FGM sandwich plates with various boundary conditions", Steel Compos. Struct., 25(6), 693-704. https://doi.org/10.12989/scs.2017.25.6.693.
- Abdelrahman, A.A., Shanab, R.A., Esen, I. and Eltaher, M.A. (2022), "Effect of moving load on dynamics of nanoscale Timoshenko CNTs embedded in elastic media based on doublet mechanics theory", Steel Compos. Struct., 44(2), 241-256. https://doi.org/10.12989/scs.2022.44.2.241.
- Alazwari, M.A., Daikh, A.A. and Eltaher, M.A. (2022), "Novel quasi 3D theory for mechanical responses of FG-CNTs reinforced composite nanoplates", Adv. Nano Res., 12(2), 117-137. https://doi.org/10.12989/anr.2022.12.2.117.
- Alhijazi, M., Safaei, B., Zeeshan, Q., Arman, S. and Asmael, M. (2023)., "Prediction of elastic properties of thermoplastic composites with natural fibers", J. Textile Inst., 114(10), 1488-1496. https://doi.org/10.1080/00405000.2022.2131352.
- Amara, K., Bouazza, M. and Fouad, B (2016), "Postbuckling analysis of functionally graded beams using nonlinear model", Per. Polytech. Mech. Eng., 60(2), 121-128. https://doi.org/10.3311/PPme.8854.
- Atmane, H.A., Bedia, E.A.A., Bouazza, M., Tounsi, A. and Fekrar, A. (2016), "On the thermal buckling of simply supported rectangular plates made of a sigmoid functionally graded Al/Al2O3 based material", Mech. Solid., 51, 177-187. https://doi.org/10.3103/S0025654416020059.
- Basha, M., Daikh, A.A., Melaibari, A., Wagih, A., Othman, R., Almitani, K.H. and Eltaher, M.A. (2022), "Nonlocal strain gradient theory for buckling and bending of FG-GRNC laminated sandwich plates", Steel Compos. Struct., 43, 639-660. https://doi.org/10.12989/scs.2022.43.5.639.
- Bharti, I., Gupta, N. and Gupta, K.M. (2013), "Novel applications of functionally graded nano, optoelectronic and thermoelectric materials", Int. J. Mater. Mech Manuf., 1(3), 221-224. https://doi.org/10.7763/IJMMM.2013.V1.47.
- Bouazza, M. and Adda-Bedia, E.A. (2013), "Elastic stability of functionally graded rectangular plates under mechanical and thermal loadings", Sci. Res. Essay., 8(39), 1933-1943. https://doi.org/10.5897/SRE11.251.
- Bouazza, M. and Benseddiq, N. (2015), "Analytical modeling for the thermoelastic buckling behavior of functionally graded rectangular plates using hyperbolic shear deformation theory under thermal loadings", Multidisc. Model. Mater. Struct., 11(4), 558-578. https://doi.org/10.1108/MMMS-02-2015-0008.
- Bouazza, M. and Zenkour, A.M. (2021), "Vibration of inhomogeneous fibrous laminated plates using an efficient and simple polynomial refined theory", J. Comput. Appl. Mech., 52, 233-245. https://doi.org/10.22059/jcamech.2021.320751.605.
- Bouazza, M., Antar, K., Amara, K., Benyoucef, S. and Bedia, E.A.A. (2019), "Influence of temperature on the beams behavior strengthened by bonded composite plates", Geomech. Eng., 18(5), 555-566. https://doi.org/10.12989/gae.2019.18.5.555.
- Bouazza, M., Becheri, T., Boucheta, A. and Benseddiq, N. (2019), "Bending behavior of laminated composite plates using the refined four-variable theory and the finite element method", Earthq. Struct., 17(3), 257-270. https://doi.org/10.12989/eas.2019.17.3.257.
- Bouazza, M., Boucheta, A., Becheri, T. and Benseddiq, N, (2017), "Thermal stability analysis of functionally graded plates using simple refined plate theory", Int. J. Autom. Mech. Eng., 14(1), 4013-4029. https://doi.org/10.15282/ijame.14.1.2017.15.0325.
- Bouazza, M., Tounsi, A. and Megueni, A. (2011), "Thermal buckling of simply supported FGM square plates", Appl. Mech. Mater., 61, 25-32. https://doi.org/10.4028/www.scientific.net/AMM.61.25.
- Bouazza, M., Zenkour, A.M. and Benseddiq, N. (2017), "Effect of material composition on bending analysis of FG plates via a two-variable refined hyperbolic theory", Arch. Mech., 70(2), 107-129.
- Bouazza, M., Zenkour, A.M. and Benseddiq, N. (2018), "Closed-from solutions for thermal buckling analyses of advanced nanoplates according to a hyperbolic four-variable refined theory with small-scale effects", Acta Mechanica, 229(5), 2251-2265. https://doi.org/10.1007/s00707-017-2097-8.
- Boucheta, A., Bouazza, M., Becheri, T. and Benseddiq, N. (2016), "Hyperbolic four variable refined shear deformation theory for mechanical buckling analysis of functionally graded plates", UPB. Sci. Bull. Ser. D, 78(4), 65-78.
- Boucheta, A., Bouazza, M., Becheri, T., Eltaher, M.A., Tounsi, A. and Benseddiq, N. (2024), "Bending of sandwich FGM plates with a homogeneous core either hard or soft via a refined hyperbolic shear deformation plate theory", Iran. J. Sci. Technol. Tran. Civil Eng., 1-15. https://doi.org/10.1007/s40996-024-01386-w.
- Derbale, A., Bouazza, M. and Benseddiq, N. (2021), "Analysis of the mechanical and thermal buckling of laminated beams by new refined shear deformation theory", Iran. J. Sci. Technol. Trans. Civil Eng., 45, 89-98. https://doi.org/10.1007/s40996-020-00417-6.
- Dihaj, A., Zidour, M., Meradjah, M., Rakrak, K., Heireche, H. and Chemi, A. (2018), "Free vibration analysis of chiral double-walled carbon nanotube embedded in an elastic medium using non-local elasticity theory and Euler Bernoulli beam model", Struct. Eng. Mech., 65(3), 335-342. https://doi.org/10.12989/sem.2018.65.3.335.
- Ding, H.X., Eltaher, M.A. and She, G.L. (2023), "Nonlinear low-velocity impact of graphene platelets reinforced metal foams cylindrical shell: Effect of spinning motion and initial geometric imperfections", Aerosp. Sci. Technol., 140, 108435. https://doi.org/10.1016/j.ast.2023.108435.
- Ellali, M., Amara, K. and Bouazza, M. (2024d), "Thermal buckling of porous FGM plate integrated surface-bonded piezoelectric", Couple. Syst. Mech., 13(2), 171-186. https://doi.org/10.12989/csm.2024.13.2.171.
- Ellali, M., Amara, K., Bouazza, M. and Bourada, F. (2018), "The buckling of piezoelectric plates on pasternak elastic foundation using higher-order shear deformation plate theories", Smart Struct. Syst., 21(1), 113-122. https://doi.org/10.12989/sss.2018.21.1.113.
- Ellali, M., Bouazza, M. and Amara, K (2022a), "Thermal buckling of a sandwich beam attached with piezoelectric layers via the shear deformation theory", Arch. Appl. Mech., 92, 657-665. https://doi.org/10.1007/s00419-021-02094-x.
- Ellali, M., Bouazza, M. and Zenkour, A.M (2024a), "Hygrothermal vibration of FG nanobeam via nonlocal unknown integral variables secant-tangential shear deformation coupled theory with temperature-dependent material properties", Eur. J. Mech. A/Solid., 105, 105243. https://doi.org/10.1016/j.euromechsol.2024.105243.
- Ellali, M., Bouazza, M. and Zenkour, A.M (2023)., "Wave propagation in functionally-graded nanoplates embedded in a winkler-pasternak foundation with initial stress effect", Phys. Mesomech., 26, 282-294. https://doi.org/10.1134/S1029959923030049.
- Ellali, M., Bouazza, M. and Zenkour, A.M (2023a), "Wave propagation of FGM plate via new integral inverse cotangential shear model with temperature-dependent material properties", Geomech. Eng., 33(5), 427-437. https://doi.org/10.12989/gae.2023.33.5.427.
- Ellali, M., Bouazza, M. and Zenkour, A.M. (2022b), "Impact of micromechanical approaches on wave propagation of FG plates via indeterminate integral variables with a hyperbolic secant shear model", Int. J. Comput. Meth., 19(9), 2250019. https://doi.org/10.1142/S0219876222500190.
- Ellali, M., Bouazza, M., Zenkour, A.M. and Benseddiq, N. (2024b), "Polynomial-exponential integral shear deformable theory for static stability and dynamic behaviors of FG-CNT nanobeams", Arch. Appl. Mech., 1-20. https://doi.org/10.1007/s00419-024-02582-w.
- Ellali, M., Zenkour, A.M., Bouazza, M. and Benseddiq, N. (2024c), "Thermal buckling of FG nanobeams via an indeterminate integral variable with trigonometric displacement models in conjunction with the gradient elasticity theory", J. Nano Res., 82, 117-138. https://doi.org/10.4028/p-PCOnh6.
- Fattahi, A.M., Safaei, B., Qin, Z. and Chu, F. (2021), "Experimental studies on elastic properties of high density polyethylene-multi walled carbon nanotube nanocomposites", Steel Compos. Struct., 38(2), 177-187. https://doi.org/10.12989/scs.2021.38.2.177.
- Feng, J., Safaei, B., Qin, Z. and Chu, F. (2023), "Nature-inspired energy dissipation sandwich composites reinforced with high-friction graphene", Compos. Sci. Tech., 233, 109925. https://doi.org/10.1016/j.compscitech.2023.109925.
- Kieback, B., Neubrand, A. and Riedel, H. (2003), "Processing techniques for functionally graded materials", Mater. Sci. Eng. A, 362(1-2), 81-106. https://doi.org/10.1016/S0921-5093(03)00578-1.
- Kumar, P. and Srinivas, J. (2017), "Free vibration, bending and buckling of a FG-CNT reinforced composite beam: Comparative analysis with hybrid laminated composite beam", Multidisc. Model. Mater. Struct., 13(4), 590-611. https://doi.org/10.1108/MMMS-05-2017-0032.
- Mamen, B., Bouhadra, A., Bourada, F., Bourada, M., Tounsi, A., Mahmoud, S.R. and Hussain, M. (2022), "Combined effect of thickness stretching and temperature-dependent material properties on dynamic behavior of imperfect FG beams using three variable quasi-3D model", J. Vib. Eng. Technol., 11(5), 2309-2331. https://doi.org/10.1007/s42417-022-00704-8.
- Mellouli, H., Jrad, H., Wali, M. and Dammak, F. (2019), "Geometrically nonlinear meshfree analysis of 3D-shell structures based on the double directors shell theory with finite rotations", Steel Compos. Struct., 31(4), 397-408. https://doi.org/10.12989/scs.2019.31.4.397.
- Nguyen, D.K. and Tran, T.T. (2018), "Free vibration of tapered BFGM beams using an efficient shear deformable finite element model", Steel Compos. Struct., 29(3), 363-377. https://doi.org/10.12989/scs.2018.29.3.363.
- Niino, M. (1987), "Design of functionally gradient material", Sci. Technol. JPN, 18(3), 18-46.
- Nuhu, A.A. and Safaei, B. (2022), "A comprehensive review on the vibration analyses of small-scaled plate-based structures by utilizing the nonclassical continuum elasticity theories", Thin Wall. Struct., 179, 109622. https://doi.org/10.1016/j.tws.2022.109622.
- Nuhu, A.A. and Safaei, B. (2022), "State-of-the-art of vibration analysis of small-sized structures by using nonclassical continuum theories of elasticity", Arch. Comput. Meth. Eng., 29, 4959-5147. https://doi.org/10.1007/s11831-022-09754-3.
- Pan, S., Feng, J., Safaei, B., Qin, Z., Chu, F. and Hui, D. (2022), "A comparative experimental study on damping properties of epoxy nanocomposite beams reinforced with carbon nanotubes and graphene nanoplatelets", Nanotechnol. Rev., 11(1), 1658-1669. https://doi.org/10.1515/ntrev-2022-0107.
- Rahmani, A., Safaei, B. and Qin, Z (2022), "On wave propagation of rotating viscoelastic nanobeams with temperature effects by using modified couple stress-based nonlocal Eringen's theory", Eng. Comput., 38(Suppl 4), 2681-2701. https://doi.org/10.1007/s00366-021-01429-0.
- Reddy, J.N. (1984), "A simple higher order theory for laminated composite plates", J. Appl. Mech., 51(4), 745-752. https://doi.org/10.1115/1.3167719.
- Safaei, B., Onyibo, E.C., Goren, M., Kotrasova, K., Yang, Z., Arman, S. and Asmael, M. (2023), "Free vibration investigation on rve of proposed honeycomb sandwich beam and material selection optimization", Facta Universitatis, Ser.: Mech. Eng., 21(1), 31-50. https://doi.org/10.22190/FUME220806042S.
- Safaei, B. (2020), "The effect of embedding a porous core on the free vibration behavior of laminated composite plates", Steel Compos. Struct., 35(5), 659-670. https://doi.org/10.12989/scs.2020.35.5.659.
- Safaei, B. (2021), "Frequency-dependent damped vibrations of multifunctional foam plates sandwiched and integrated by composite faces", Eur. Phys. J. Plus, 136, 646. https://doi.org/10.1140/epjp/s13360-021-01632-4.
- Safaei, B., Chukwueloka Onyibo, E. and Hurdoganoglu, D. (2022), "Thermal buckling and bending analyses of carbon foam beams sandwiched by composite faces under axial compression", Facta Universitatis, Ser.: Mech. Eng., 20(3), 589-615. https://doi.org/10.22190/FUME220404027S.
- Safaei, B., Chukwueloka Onyibo, E. and Hurdoganoglu, D. (2022), "Effect of static and harmonic loading on the honeycomb sandwich beam by using finite element method", Facta Universitatis, Ser.: Mech. Eng., 20(2), 279-306. https://doi.org/10.22190/FUME220201009S.
- Sahnoun, M., Ouinas, D., Benderdouche, N., Bouazza, M. and Vina, J. (2013), "Hygrothermal effect on stiffness reduction modeling damage evolution in cross-ply composite laminates", Adv. Mater. Res., 629, 79-84. https://doi.org/10.4028/www.scientific.net/amr.629.79.
- Sayyad, A.S. and Ghugal, Y.M. (2018), "Analytical solutions for bending, buckling, and vibration analyses of exponential functionally graded higher order beams", Asia. J. Civil Eng., 19, 607-623. https://doi.org/10.1007/s42107-018-0046-z.
- Selmi, A. (2020), "Dynamic behavior of axially functionally graded simply supported beams", Smart Struct. Syst., 25(6), 669-678. https://doi.org/10.12989/sss.2020.25.6.669.
- Shanab, R., Mohamed, S., Tharwan, M.Y., Assie, A.E. and Eltaher, M.A. (2022), "Buckling of 2D FG Porous unified shear plates resting on elastic foundation based on neutral axis", Steel Compos. Struct., 45(5), 729. https://doi.org/10.12989/scs.2022.45.5.729.
- Simsek, M. (2010), "Fundamental frequency analysis of functionally graded beams by using different higher-order beam theories", Nucl. Eng. Des., 240(4), 697-705. https://doi.org/10.1016/j.nucengdes.2009.12.013.
- Thai, H.T. and Vo, T.P. (2012), "Bending and free vibration of functionally graded beams using various higher-order shear deformation beam theories", Int. J. Mech. Sci., 62, 57-66. https://doi.org/10.1016/j.ijmecsci.2012.05.014.
- Timoshenko, S.P. (1921), "On the correction for shear of the differential equation for transverse vibrations of prismatic bars", Philos. Mag., 41, 742-746.
- Tounsi, A., Bouazza, M., Meftah, S. and Adda-Bedia, E. (2005), "On the transient hygroscopic stresses in polymer matrix laminated composites plates with cyclic and unsymmetric environmental conditions the moisture concentration", Polym. Polym. Compos., 13(5), 489-503. https://doi.org/10.1177/096739110501300506.
- Tounsi, T., Bouazza, M. and Adda-Bedia, E.A. (2004), "Computation of transient hygroscopic stresses in unidirectional laminated composite plates with cyclic and asymmetrical environmental conditions", Int. J. Mech. Mater. Des., 1, 271-286. https://doi.org/10.1007/s10999-005-0222-7.
- Vo, T.P., Thai, H.T., Nguyen, T.K., Maheri, A. and Lee, J. (2014), "Finite element model for vibration and buckling of functionally graded sandwich beams based on a refined shear deformation theory", Eng. Struct., 64, 12-22. https://doi.org/10.1016/j.engstruct.2014.01.029.
- Xin, L. and Kiani, Y. (2023), "Vibration characteristics of arbitrary thick sandwich beam with metal foam core resting on elastic medium", Struct., 49, 1-11. https://doi.org/10.1016/j.istruc.2023.01.108.
- Xu, Y., Li, Z. and Guo, K. (2018), "Active vibration robust control for FGM beams with piezoelectric layers", Struct. Eng. Mech., 67(1), 33-43. https://doi.org/10.12989/sem.2018.67.1.033.