Acknowledgement
The authors would like to thank Mustansiriyah university (www.uomustansiriyah.edu.iq) and Ashur university, Baghdad-Iraq, for their support in the present work.
References
- Ahmed, R.A., Al-Toki, M.H., Faleh, N.M. and Fenjan, R.M. (2022), "Nonlinear stability of higher-order porous metal foam curved panels with stiffeners", Transport Porous Media, 142(1), 249-264. https://doi.org/10.1007/s11242-021-01691-2.
- Afshari, B.M., Mirjavadi, S.S. and Barati, M.R. (2022). "Investigating nonlinear static behavior of hyperelastic plates using three-parameter hyperelastic model", Adv. Concrete Construct., 13(5), 377-384. https://doi.org/10.12989/acc.2022.13.5.377.
- Ahankari, S.S and Kar, K.K. (2010), "Hysteresis measurements and dynamic mechanical characterization of functionally graded natural rubber-carbon black composites", Polymer Eng. Sci., 50(5), 871-877. https://doi.org/10.1002/pen.21601.
- Al-Maliki, A.F., Faleh, N.M. and Alasadi, A.A. (2019), "Finite element formulation and vibration of nonlocal refined metal foam beams with symmetric and non-symmetric porosities", Struct. Monit. Maint., 6(2), 147-159. https://doi.org/10.12989/smm.2019.6.2.147.
- Al-Toki, M.H., Ali, H.A., Ahmed, R.A., Faleh, N.M. and Fenjan, R.M. (2022), "A numerical study on vibration behavior of fiber-reinforced composite panels in thermal environments", Struct. Eng. Mech., 82(6), 691-699. https://doi.org/10.12989/sem.2022.82.6.691.
- Barati, M.R. and Shahverdi, H. (2017a), "Dynamic modeling and vibration analysis of double-layered multi-phase porous nanocrystalline silicon nanoplate systems", Europ. J. Mech.-A/Solids, 66, 256-268. https://doi.org/10.1016/j.euromechsol.2017.07.010.
- Barati, M.R. and Shahverdi, H. (2017b), "Frequency analysis of porous nano-mechanical mass sensors made of multi-phase nanocrystalline silicon materials", Mater. Res. Express, 4(7), 075019. https://doi.org/10.1088/2053-1591/aa7ac2.
- Barati, M.R. and Shahverdi, H. (2022), "Vibration frequencies of meta-material plates based on the numerical calibration of shape factor for various cell patterns", Waves Random Complex Media, 1-19. https://doi.org/10.1080/17455030.2022.2046300.
- Chikh, A., Bakora, A., Heireche, H., Houari, M.S.A., Tounsi, A. and Bedia, E.A. (2016), "Thermo-mechanical postbuckling of symmetric S-FGM plates resting on Pasternak elastic foundations using hyperbolic shear deformation theory", Struct. Eng. Mech., 57(4), 617-639. https://doi.org/10.12989/sem.2016.57.4.617.
- Du, H., Gao, H.J. and Dai Pang, S. (2016), "Improvement in concrete resistance against water and chloride ingress by adding graphene nanoplatelet", Cement Concrete Res., 83, 114-123. https://doi.org/10.1016/j.cemconres.2016.02.005.
- Esawi, A.M.K., Morsi, K., Sayed, A., Taher, M. and Lanka, S. (2011), "The influence of carbon nanotube (CNT) morphology and diameter on the processing and properties of CNT-reinforced aluminium composites", Compos. Part A: Appl. Sci. Manufact., 42(3), 234-243. https://doi.org/10.1016/j.compositesa.2010.11.008
- Fang, M., Wang, K., Lu, H., Yang, Y. and Nutt, S. (2009), "Covalent polymer functionalization of graphene nanosheets and mechanical properties of composites", J. Mater. Chemistry, 19(38), 7098-7105. https://doi.org/10.1039/B908220D.
- Fenjan, R.M., Ahmed, R.A., Alasadi, A.A. and Faleh, N.M. (2019), "Nonlocal strain gradient thermal vibration analysis of double-coupled metal foam plate system with uniform and non-uniform porosities", Coup. Syst. Mech., 8(3), 247-257. https://doi.org/10.12989/csm.2019.8.3.247.
- Feng, C., Kitipornchai, S. and Yang, J. (2017), "Nonlinear free vibration of functionally graded polymer composite beams reinforced with graphene nanoplatelets (GPLs)", Eng. Struc., 140, 110-119. https://doi.org/10.1016/j.engstruct.2017.02.052.
- Gojny, F.H., Wichmann, M.H.G., Kopke, U., Fiedler, B. and Schulte, K. (2004), "Carbon nanotube-reinforced epoxy-composites: enhanced stiffness and fracture toughness at low nanotube content", Compos. Sci. Technol., 64(15), 2363-2371. https://doi.org/10.1016/j.compscitech.2004.04.002.
- Guan, H., Huang, S., Ding, J., Tian, F., Xu, Q. and Zhao, J. (2020), "Chemical environment and magnetic moment effects on point defect formations in CoCrNi-based concentrated solid-solution alloys", Acta Materialia, 187, 122-134. https://doi.org/10.1016/j.actamat.2020.01.044.
- Guenaneche, B., Benyoucef, S., Tounsi, A. and Adda Bedia, E.A. (2019), "Improved analytical method for adhesive stresses in plated beam: Effect of shear deformation", Adv. Concrete Construct., 7(3), 151-166. https://doi.org/10.12989/acc.2019.7.3.151.
- Hao, P., Wang, B., Du, K., Li, G., Tian, K., Sun, Y. and Ma, Y. (2016), "Imperfection-insensitive design of stiffened conical shells based on equivalent multiple perturbation load approach", Compos. Struct., 136, 405-413. https://doi.org/10.1016/j.compstruct.2015.10.022.
- Hao, R.B., Lu, Z.Q., Ding, H. and Chen, L.Q. (2022), "A nonlinear vibration isolator supported on a flexible plate: analysis and experiment", Nonlinear Dyn., 108(2), 941-958. https://doi.org/10.1007/s11071-022-07243-7.
- King, J.A., Klimek, D.R., Miskioglu, I. and Odegard, G.M. (2013), "Mechanical properties of graphene nanoplatelet/epoxy composites", J. Appl. Polymer Sci., 128(6), 4217-4223. https://doi.org/10.1002/app.38645.
- Kitipornchai, S., Chen, D. and Yang, J. (2017), "Free vibration and elastic buckling of functionally graded porous beams reinforced by graphene platelets", Mater. Des., 116, 656-665. https://doi.org/10.1016/j.matdes.2016.12.061.
- Lal, A. and Markad, K. (2018), "Deflection and stress behaviour of multi-walled carbon nanotube reinforced laminated composite beams", Comput. Concrete, 22(6), 501-514. https://doi.org/10.12989/cac.2018.22.6.501.
- Liew, K.M., Lei, Z.X. and Zhang, L.W. (2015), "Mechanical analysis of functionally graded carbon nanotube reinforced composites: a review", Compos. Struct., 120, 90-97. https://doi.org/10.1016/j.compstruct.2014.09.041.
- Lin, F., Yang, C., Zeng, Q.H and Xiang, Y. (2018), "Morphological and mechanical properties of graphene-reinforced PMMA nanocomposites using a multiscale analysis", Comput. Mater. Sci., 150, 107-120. https://doi.org/10.1016/j.commatsci.2018.03.048
- Liu, W., Huang, F., Liao, Y., Zhang, J., Ren, G., Zhuang, Z. and Wang, C. (2008), "Treatment of CrVI-Containing Mg (OH) 2 Nanowaste", Angewandte Chemie, 120(30), 5701-5704. https://doi.org/10.1002/ange.200800172.
- Metwally, I.M. (2014), "Three-dimensional finite element analysis of reinforced concrete slabs strengthened with epoxy-bonded steel plates", Adv. Concrete Construct., 2(2), 091. https://doi.org/10.12989/acc.2014.2.2.091.
- Mohammed, A., Sanjayan, J.G., Nazari, A. and Al-Saadi, N.T.K. (2017), "Effects of graphene oxide in enhancing the performance of concrete exposed to high-temperature", Australian J. Civil Eng., 15(1), 61-71. https://doi.org/10.1080/14488353.2017.1372849.
- Nieto, A., Bisht, A., Lahiri, D., Zhang, C. and Agarwal, A. (2017), "Graphene reinforced metal and ceramic matrix composites: A review", Int. Mater. Rev., 62(5), 241-302. https://doi.org/10.1080/09506608.2016.1219481
- Rafiee, M.A., Rafiee, J., Wang, Z., Song, H., Yu, Z.Z. and Koratkar, N. (2009), "Enhanced mechanical properties of nanocomposites at low graphene content", ACS Nano, 3(12), 3884-3890. https://doi.org/10.1021/nn9010472.
- Rezaiee-Pajand, M., Masoodi, A.R. and Mokhtari, M. (2018), "Static analysis of functionally graded non-prismatic sandwich beams", Adv. Comput. Des., 3(2), 165-190. https://doi.org/10.12989/acd.2018.3.2.165.
- Shamsaei, E., de Souza, F.B., Yao, X., Benhelal, E., Akbari, A. and Duan, W. (2018), "Graphene-based nanosheets for stronger and more durable concrete: A review", Construct. Build. Mater., 183, 642-660. https://doi.org/10.1016/j.conbuildmat.2018.06.201.
- Shen, H.S., Xiang, Y., Lin, F. and Hui, D. (2017), "Buckling and postbuckling of functionally graded graphene-reinforced composite laminated plates in thermal environments", Compos. Part B: Eng., 119, 67-78. https://doi.org/10.1016/j.compositesb.2017.03.020.
- Song, M., Kitipornchai, S. and Yang, J. (2017), "Free and forced vibrations of functionally graded polymer composite plates reinforced with graphene nanoplatelets", Compos. Struct., 159, 579-588. https://doi.org/10.1016/j.compstruct.2016.09.070.
- Wang, L. and Su, R.K.L. (2013), "A unified design procedure for preloaded rectangular RC columns strengthened with post-compressed plates", Adv. Concrete Construct., 1(2), 163. https://doi.org/10.12989/acc.2013.1.2.163.
- Wang, B., Zhu, S., Hao, P., Bi, X., Du, K., Chen, B. and Chao, Y.J. (2018), "Buckling of quasi-perfect cylindrical shell under axial compression: A combined experimental and numerical investigation", Int. J. Solids Struct., 130, 232-247. https://doi.org/10.1016/j.ijsolstr.2017.09.029.
- Wu, Y., Zhao, Y., Han, X., Jiang, G., Shi, J., Liu, P. and Yamada, Y. (2021), "Ultra-fast growth of cuprate superconducting films: dual-phase liquid assisted epitaxy and strong flux pinning", Mater. Today Phys., 18, 100400. https://doi.org/10.1016/j.mtphys.2021.100400.
- Xiong, Q.M., Chen, Z., Huang, J.T., Zhang, M., Song, H., Hou, X. F. and Feng, Z.J. (2020), "Preparation, structure and mechanical properties of Sialon ceramics by transition metal-catalyzed nitriding reaction", Rare Metals, 39(5), 589-596. https://doi.org/10.1007/s12598-020-01385-6.
- Yang, B., Yang, J. and Kitipornchai, S. (2017), "Thermoelastic analysis of functionally graded graphene reinforced rectangular plates based on 3D elasticity", Meccanica, 52(10), 2275-2292. https://doi.org/10.1007/s11012-016-0579-8.
- Zaheer, M.M., Jafri, M.S. and Sharma, R. (2019), "Effect of diameter of MWCNT reinforcements on the mechanical properties of cement composites", Adv. Concrete Construct., 8(3), 207-215. https://doi.org/10.12989/acc.2019.8.3.207.
- Zhang, L.W. (2017), "On the study of the effect of in-plane forces on the frequency parameters of CNT-reinforced composite skew plates", Compos. Struct., 160, 824-837. https://doi.org/10.1016/j.compstruct.2016.10.116.
- Zhang, Z., Li, Y., Wu, H., Zhang, H., Wu, H., Jiang, S. and Chai, G. (2020), "Mechanical analysis of functionally graded graphene oxide-reinforced composite beams based on the first-order shear deformation theory", Mech. Adv. Mater. Struct., 27, 3-11. https://doi.org/10.1080/15376494.2018.1444216.