Static analysis of laminated reinforced composite plates using a simple first-order shear deformation theory |
Draiche, Kada
(Departement de Genie Civil, Universite Ibn Khaldoun Tiaret)
Bousahla, Abdelmoumen Anis (Laboratoire de Modelisation et Simulation Multi-echelle, Universite de Sidi Bel Abbes) Tounsi, Abdelouahed (Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Civil Engineering Department) Alwabli, Afaf S. (Department of Biology, Faculty of Sciences, King Abdulaziz University) Tounsi, Abdeldjebbar (Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Civil Engineering Department) Mahmoud, S.R. (GRC Department, Jeddah Community College, King Abdulaziz University) |
1 | Swain, P., Adhikari, B. and Dash, P. (2017), "A higher-order polynomial shear deformation theory for geometrically nonlinear free vibration response of laminated composite plate", Mech. Adv. Mater. Struct., 25, 1-10. https://doi.org/10.1080/15376494.2017.1365981. |
2 | Swaminathan, K. and Fernandes, R. (2013), "Higher order computational model for the thermoelastic analysis of cross-ply laminated composite plates", Int. J. Scientif. Eng. Res., 4(5), 119-122. |
3 | Thai, H.T. and Choi, D.H. (2013), "A simple first-order shear deformation theory for the bending and free vibration analysis of functionally graded plates", Compos. Struct., 101, 332-340. https://doi.org/10.1016/j.compstruct.2013.02.019. DOI |
4 | Boutaleb, S., Benrahou, K.H., Bakora, A., Algarni, A., Bousahla, A.A., Tounsi, A., Mahmoud, S.R. and Tounsi, A. (2019), "Dynamic Analysis of nanosize FG rectangular plates based on simple nonlocal quasi 3D HSDT", Adv. Nano Res., 7(3), 189-206. https://doi.org/10.12989/anr.2019.7.3.189. |
5 | Whitney, J.M. and Pagano, N.J. (1970), "Shear deformation in heterogeneous anisotropic plates", ASME J. Appl. Mech., 37, 1031-1036. https://doi.org/10.1115/1.3408654. DOI |
6 | Thai, H.T., Nguyen, T.K., Vo, T.P. and Lee, J. (2014), "Analysis of functionally graded sandwich plates using a new first-order shear deformation theory", Eur. J. Mech. A/Solid., 45, 211-225. https://doi.org/10.1016/j.euromechsol.2013.12.008. DOI |
7 | Tornabene, F. and Viola, E. (2009), "Free vibration analysis of functionally graded panels and shells of revolution", Meccanica, 44, 255-281. https://doi.org/10.1007/s11012-008-9167-x. DOI |
8 | Whitney, J.M. (1987), Structural Analysis of Laminated Anisotropic Plates, Technomic Publishing Corp. |
9 | Xiang, S., Jiang, S.X., Bi, Z.Y, Jin, Y.X. and Yang, M.S. (2011), "A nth-order meshless generalization of Reddy's third-order shear deformation theory for the free vibration on laminated composite plates", Compos. Struct., 93, 299-307. https://doi.org/10.1016/j.compstruct.2010.09.015. DOI |
10 | Yang, P.C, Norris, C.H. and Stavsky, Y. (1966), "Elastic wave propagation in heterogeneous plates", Int. J. Solid. Struct., 2, 665-684. https://doi.org/10.1016/0020-7683(66)90045-X. DOI |
11 | Meksi, R, Benyoucef, S., Mahmoudi, A., Tounsi, A., Adda Bedia, E.A. and Mahmoud, SR. (2019), "An analytical solution for bending, buckling and vibration responses of FGM sandwich plates", J. Sandw. Struct. Mater., 21(2), 727-757. https://doi.org/10.1177/1099636217698443. DOI |
12 | Mindlin, R.D. (1951), "Influence of rotatory inertia and shear on flexural motions of isotropic, elastic plates", J. Appl. Mech., 18, 31-38. DOI |
13 | Narwariya, M., Choudhury, A. and Sharma, A.K. (2018), "Harmonic analysis of moderately thick symmetric cross-ply laminated composite plate using FEM", Adv. Comput. Des., 3(2), 113-132. https://doi.org/10.12989/acd.2018.3.2.113. DOI |
14 | Pandit, M.K., Sheikh, A.H. and Singh, B.N. (2010), "Analysis of laminated sandwich plates based on an improved higher order zigzag theory", J. Sandw. Struct. Mater., 12, 307-325. https://doi.org/10.1177/1099636209104517. DOI |
15 | Natanzi, A.J., Jafari, G.S. and Kolahchi, R. (2018), "Vibration and instability of nanocomposite pipes conveying fluid mixed by nanoparticles resting on viscoelastic foundation", Comput. Concrete, 21(5), 569-582. https://doi.org/10.12989/cac.2018.21.5.569. DOI |
16 | Noor, A.K. and Burton, W.S. (1989), "Stress and free vibration analyses of multilayered composite plates", Compos. Struct., 11(3), 183-204. https://doi.org/10.1016/0263-8223(89)90058-5. DOI |
17 | Pagano, N.J. (1970), "Exact solutions for rectangular bidirectional composites and sandwich plates", J. Compos. Mater., 4(1), 20-34. https://doi.org/10.1177/002199837000400102. DOI |
18 | Rajabi, J. and Mohammadimehr, M. (2019), "Bending analysis of a micro sandwich skew plate using extended Kantorovich method based on Eshelby-Mori-Tanaka approach", Comput. Concrete, 23(5), 361-376. https://doi.org/10.12989/cac.2019.23.5.361. DOI |
19 | Reddy, J.N. (2004), Mechanics of Laminated Composite Plates and Shells: Theory and Analysis, CRC Press LLC. |
20 | Reddy, J.N. and Chao, W.C. (1980), "Finite element analysis of laminated bimodulus composite material plates", Compos. Struct., 12(2), 245-251. https://doi.org/10.1016/0045-7949(80)90011-5. DOI |
21 | Reissner, E. (1945), "The effect of transverse shear deformation on the bending of elastic plates", ASME J. Appl. Mech., 12, 69-77. |
22 | Rezaiee-Pajand, M., Shahabian, F. and Tavakoli, F.H. (2012), "A new higher-order triangular plate bending element for the analysis of laminated composite and sandwich plates", Struct. Eng. Mech., 43(2), 253-271. https://doi.org/10.12989/sem.2012.43.2.253. DOI |
23 | 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. DOI |
24 | Sadoune, M., Tounsi, A., Houari, M.S.A. and Adda Bedia, E.A. (2014), "A novel first-order shear deformation theory for laminated composite plates", Steel Compos. Struct., 17(3), 321-338. https://doi.org/10.12989/scs.2014.17.3.321. DOI |
25 | Sahoo, S.S., Panda, S.K. and Mahapatra, T.R. (2016), "Static, free vibration and transient response of laminated composite curved shallow panel-an experimental approach", Eur. J. Mech. A. Solid., 59, 95-113. https://doi.org/10.1016/j.euromechsol.2016.03.014. DOI |
26 | Grover, N., Singh, B.N. and Maiti, D.K. (2013), "Analytical and finite element modeling of laminated composite and sandwich plates: an assessment of a new shear deformation theory for free vibration response", Int. J. Mech. Sci., 67, 89-99. https://doi.org/10.1016/j.ijmecsci.2012.12.010. DOI |
27 | Hussain, M. and Naeem, M.N. (2019), "Rotating response on the vibrations of functionally graded zigzag and chiral single walled carbon nanotubes", Appl. Math. Model., 75, 506-520. https://doi.org/10.1016/j.apm.2019.05.039. DOI |
28 | Hussain, M., Naeem, M.N., Tounsi, A. and Taj, M. (2019), "Nonlocal effect on the vibration of armchair and zigzag SWCNTs with bending rigidity", Adv. Nano Res. (Accepted) |
29 | Jones, R.M. (1975), Mechanics of Composite Materials, Hemisphere Publishing, New York. |
30 | Karami, B., Shahsavari, D., Nazemosadat, S.M.R., Li, L. and Ebrahimi, A. (2018), "Thermal buckling of smart porous functionally graded nanobeam rested on Kerr foundation", Steel Compos. Struct., 29(3), 349-362. https://doi.org/10.12989/scs.2018.29.3.349. DOI |
31 | Daouadji, T.H. (2017), "Analytical and numerical modeling of interfacial stresses in beams bonded with a thin plate", Adv. Comput. Des., 2(1), 57-69. https://doi.org/10.12989/acd.2017.2.1.057. DOI |
32 | Chaabane, L.A., Bourada, F., Sekkal, M., Zerouati, S., Zaoui, F.Z., Tounsi, A., Derras, A., Bousahla, A.A. and Tounsi, A. (2019), "Analytical study of bending and free vibration responses of functionally graded beams resting on elastic foundation", Struct. Eng. Mech., 71(2), 185-196. https://doi.org/10.12989/sem.2019.71.2.185. DOI |
33 | Chikh, A., Tounsi, A., Hebali, H. and Mahmoud, S.R. (2017), "Thermal buckling analysis of cross-ply laminated plates using a simplified HSDT", Smart Struct. Sys., 19(3), 289-297. https://doi.org/10.12989/sss.2017.19.3.289. DOI |
34 | Christensen, R.M. (1979), Mechanics of Composite Materials, John Wiley and Sons, New York. |
35 | Mahmoudi, A., Benyoucef, S., Tounsi, A., Benachour, A., Adda Bedia, E.A. and Mahmoud, S.R. (2019), "A refined quasi-3D shear deformation theory for thermo-mechanical behavior of functionally graded sandwich plates on elastic foundations", J. Sandw. Struct. Mater., 21(6), 1906-1929. https://doi.org/10.1177/1099636217727577. DOI |
36 | Kirchhoff, G.R. (1850), "Uber das gleichgewicht und die bewegungeinerelastischenscheibe", J Pure Appl. Math., 40, 51-88. |
37 | Kolahchi, R., Safari, M. and Esmailpour, M. (2016), "Dynamic stability analysis of temperature-dependent functionally graded CNT-reinforced visco-plates resting on orthotropic elastomeric medium", Compos. Struct., 150, 255-265. https://doi.org/10.1016/j.compstruct.2016.05.023. DOI |
38 | Loh, E. W.K. and Deepak, T.J. (2018), "Structural insulated panels: State-of-the-art", Trend. Civil Eng. Arch., 3(1), 336-340. https://doi.org/10.32474/TCEIA.2018.03.000151. |
39 | Mantari, J.L. and Granados, E.V. (2015), "Dynamic analysis of functionally graded plates using a novel FSDT", Compos. Part B, 75, 148-155. https://doi.org/10.1016/j.compositesb.2015.01.028. DOI |
40 | Mantari, J.L., Oktem, A.S. and Soares, C.G. (2012), "Bending and free vibration analysis of isotropic and multilayered plates and shells by using a new accurate higher-order shear deformation theory", Compos. Part B, 43, 3348-3360. https://doi.org/10.1016/j.compositesb.2012.01.062. DOI |
41 | Zarga, D., Tounsi, A., Bousahla, A.A., Bourada, F. and Mahmoud, S.R. (2019), "Thermomechanical bending study for functionally graded sandwich plates using a simple quasi-3D shear deformation theory", Steel Compos. Struct., 32(3), 389-410. https://doi.org/10.12989/scs.2019.32.3.389. DOI |
42 | Zenkour, A. and Radwan, A. (2018), "Free vibration analysis of multilayered composite and soft core sandwich plates resting on Winkler-Pasternak foundations", J. Sandw. Struct. Mater., 20(2), 169-190. https://doi.org/10.1177/1099636216644863. DOI |
43 | Fadoun, O.O. (2019), "Analysis of axisymmetric fractionalvibration of an isotropic thin disc in finite deformation",Comput. Concrete, 23(5), 303-309.https://doi.org/10.12989/cac.2019.23.5.303 DOI |
44 | Draiche, K., Tounsi, A. and Mahmoud, S.R. (2016), "A refined theory with stretching effect for the flexure analysis of laminated composite plates", Geomech. Eng., 11(5), 671-690. https://doi.org/10.12989/gae.2016.11.5.671. DOI |
45 | Draoui, A., Zidour, M., Tounsi, A. and Adim, B. (2019), "Static and dynamic behavior of nanotubes-reinforced sandwich plates using (FSDT)", J. Nano Res., 57, 117-135. https://doi.org/10.4028/www.scientific.net/JNanoR.57.117. DOI |
46 | Eltaher, M.A., Fouda, N., El-midany, T. and Sadoun, A.M. (2018),"Modified porosity model in analysis of functionally gradedporous nanobeams", J. Brazil. Soc. Mech. Sci. Eng., 40, 141.https://doi.org/10.1007/s40430-018-1065-0. DOI |
47 | Faleh, N.M., Ahmed, R.A. and Fenjan, R.M. (2018), "Onvibrations of porous FG nanoshells", Int. J. Eng. Sci., 133, 1-14.https://doi.org/10.1016/j.ijengsci.2018.08.007 DOI |
48 | Sayyad, A.S. and Ghugal, Y.M. (2014), "Flexure of cross-ply laminated plates using equivalent single layer trigonometric shear deformation theory", Struct. Eng. Mech., 51(5), 867-891. http://dx.doi.org/10.12989/sem.2014.51.5.867. DOI |
49 | Zenkour, A.M. (2014), "Analysis of thick isotropic and cross-ply laminated plates by generalized differential quadrature method and a unified formulation", Compos. Part B, 58, 544-552. https://doi.org/10.1016/j.compositesb.2013.10.088. DOI |
50 | Sarangan, S. and Singh, B.N. (2016), "Higher order closed form solution for the analysis of laminated composite and sandwich plates based on new shear deformation theories", Compos. Struct., 138, 391-403. https://doi.org/10.1016/j.compstruct.2015.11.049. DOI |
51 | Sayyad, A.S., Ghugal, Y.M. and Shinde, B.M. (2016), "Thermal stress analysis of laminated composite plates using exponential shear deformation theory", Int. J. Autom. Compos., 2(1), 23-40. DOI |
52 | Selmi, A. and Bisharat, A. (2018), "Free vibration of functionally graded SWNT reinforced aluminum alloy beam", J. Vibroeng., 20(5), 2151-2164. https://doi.org/10.21595/jve.2018.19445. DOI |
53 | Fares, M.E., Zenkour, A.M. and El-Marghany, M.K. (2000),"Nonlinear thermal effects on the bending response of cross-plylaminated plates using refined first-order theory", Compos.Struct., 49(3), 257-267. https://doi.org/10.1016/S0263-8223(99)00137-3. DOI |
54 | Ayat, H., Kellouche, Y., Ghrici, M. and Boukhatem, B. (2018), "Compressive strength prediction of limestone filler concrete using artificial neural networks", Adv. Comput. Des., 3(3), 289-302. https://doi.org/10.12989/acd.2018.3.3.289. DOI |
55 | Medani, M., Benahmed, A., Zidour, M., Heireche, H., Tounsi, A., Bousahla, A.A., Tounsi, A. and Mahmoud, S.R. (2019), "Static and dynamic behavior of (FG-CNT) reinforced porous sandwich plate", Steel Compos. Struct., 32(5), 595-610. https://doi.org/10.12989/scs.2019.32.5.595. DOI |
56 | Avcar, M. (2015), "Effects of rotary inertia shear deformation and non-homogeneity on frequencies of beam", Struct. Eng. Mech., 55(4), 871-884. https://doi.org/10.12989/sem.2015.55.4.871. DOI |
57 | Avcar, M. (2019), "Free vibration of imperfect sigmoid and power law functionally graded beams", Steel Compos. Struct., 30(6), 603-615. https://doi.org/10.12989/scs.2019.30.6.603. DOI |
58 | Behera, S. and Kumari, P. (2018), "Free vibration of Levy-type rectangular laminated plates using efficient zig-zag theory", Adv. Comput. Des., 3(3), 213-232. https://doi.org/10.12989/acd.2018.3.3.213. DOI |
59 | Benferhat, R., Hassaine Daouadji, T., Hadji, L. and Said Mansour, M. (2016), "Static analysis of the FGM plate with porosities", Steel Compos. Struct., 21(1), 123-136. https://doi.org/10.12989/scs.2016.21.1.123. DOI |
60 | Bensaid, I., Bekhadda, A. and Kerboua, B. (2018), "Dynamic analysis of higher order shear-deformable nanobeams resting on elastic foundation based on nonlocal strain gradient theory", Adv. Nano Res., 6(3), 279-298. https://doi.org/10.12989/anr.2018.6.3.279. DOI |
61 | Bensattalah, T., Zidour, M. and Daouadji, T.S. (2019), "A new nonlocal beam model for free vibration analysis of chiral singlewalled carbon nanotubes", Compos. Mater. Eng., 1(1), 21-31. |
62 | Auricchio, F. and Sacco, E. (2003), "Refined first-order shear deformation theory models for composite laminates", J. Appl. Mech., 70, 381-390. https://doi.org/10.1115/1.1572901. DOI |
63 | Boukhlif, Z., Bouremana, M., Bourada, F., Bousahla, A.A., Bourada, M., Tounsi, A. and Al-Osta, M.A. (2019), "A simple quasi-3D HSDT for the dynamics analysis of FG thick plate on elastic foundation", Steel Compos. Struct., 31(5), 503-516. https://doi.org/10.12989/scs.2019.31.5.503. DOI |
64 | Boulefrakh, L., Hebali, H., Chikh, A., Bousahla, A.A., Tounsi, A. and Mahmoud, S.R. (2019), "The effect of parameters of visco- Pasternak foundation on the bending and vibration properties of a thick FG plate", Geomech. Eng., 18(2), 161-178. https://doi.org/10.12989/gae.2019.18.2.161. DOI |
65 | Akavci, S.S., Yerli, H.R. and Dogan, A. (2007), "The first ordershear deformation theory for symmetrically laminated composite plates on elastic foundation", Arab. J. Sci. Eng., 32(2), 341-348. |
66 | Bourada, F., Bousahla, A.A., Bourada, M., Azzaz, A., Zinata, A. and Tounsi, A. (2019), "Dynamic investigation of porous functionally graded beam using a sinusoidal shear deformation theory", Wind Struct., 28(1), 19-30. https://doi.org/10.12989/was.2019.28.1.019. DOI |
67 | Boussoula, A., Boucham, B., Bourada, M., Bourada, F., Tounsi, A., Bousahla, A.A. and Tounsi, A. (2019), "A simple nth-order shear deformation theory for thermomechanical bending analysis of different configurations of FG sandwich plates", Smart Struct. Syst. (Accepted) |
![]() |