Vibration analysis of thick orthotropic plates using quasi 3D sinusoidal shear deformation theory |
Sadoun, Mohamed
(Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Civil Engineering Department)
Houari, Mohammed Sid Ahmed (Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Civil Engineering Department) Bakora, Ahmed (Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Civil Engineering Department) Tounsi, Abdelouahed (Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Civil Engineering Department) Mahmoud, S.R. (Department of Mathematics, Faculty of Science, King Abdulaziz University) Alwabli, Afaf S. (Department of Biology, Faculty of Science, King Abdulaziz University) |
1 | Bourada, M., Kaci, A., Houari, M.S.A. and Tounsi, A. (2015), "A new simple shear and normal deformations theory for functionally graded beams", Steel Compos. Struct., 18(2), 409-423. DOI |
2 | Bourada, M., Tounsi, A., Houari, M.S.A. and Adda Bedia, E.A. (2012), "A new four-variable refined plate theory for thermal buckling analysis of functionally graded sandwich plates", J. Sandw. Struct. Mater., 14(1), 5-33. DOI |
3 | Bousahla, A.A., Benyoucef, S., Tounsi, A. and Mahmoud, S.R. (2016), "On thermal stability of plates with functionally graded coefficient of thermal expansion", Struct. Eng. Mech., 60(2), 313-335. DOI |
4 | Bousahla, A.A., Houari, M.S.A., Tounsi, A. and Adda Bedia, E.A. (2014), "A novel higher order shear and normal deformation theory based on neutral surface position for bending analysis of advanced composite plates", J. Comput. Meth., 11(6), 1350082. DOI |
5 | Chen, W.C. and Liu, W.H. (1990), "Deflections and free vibrations of laminated plates-Levy-type solutions", J. Mech. Sci., 32(9), 779-793. |
6 | 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. Syst., 19(3), 289-297. DOI |
7 | 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. DOI |
8 | El-Haina, F., Bakora, A., Bousahla, A.A., Tounsi, A. and Mahmoud, S.R. (2017), "A simple analytical approach for thermal buckling of thick functionally graded sandwich plates", Struct. Eng. Mech., 63(5), 585-595. DOI |
9 | Zenkour, A.M. and Sobhy, M. (2011), "Thermal buckling of functionally graded plates resting on elastic foundations using the trigonometric theory", J. Therm. Stresses, 34(11), 1119-1138. DOI |
10 | Zenkour, A.M. and Sobhy, M. (2015), "A simplified shear and normal deformations nonlocal theory for bending of nanobeams in thermal environment", Physica E Low-Dimensional Syst. Nanostruct., 70, 121-128. |
11 | Zenkour, A.M., Allam, M.N.M. and Sobhy, M. (2010a), "Bending analysis of FG viscoelastic sandwich beams with elastic cores resting on Pasternak's elastic foundations", Acta Mechanica, 212(3-4), 233-252. DOI |
12 | Zenkour, A.M., Allam, M.N.M. and Sobhy, M. (2010b), "Effect of transverse normal and shear deformation on a fiber-reinforced viscoelastic beam resting on two-parameter elastic foundations", J. Appl. Mech., 2(1), 87-115. DOI |
13 | Zenkour, A.M., Allam, M.N.M. and Sobhy, M. (2011), "Bending of a fiber-reinforced viscoelastic composite plate resting on elastic foundations", Arch. Appl. Mech., 81(1), 77-96. DOI |
14 | Zidi, M., Houari, M.S.A., Tounsi, A., Bessaim, A. and Mahmoud, S.R. (2017), "A novel simple two-unknown hyperbolic shear deformation theory for functionally graded beams", Struct. Eng. Mech., 64(2), 145-153. DOI |
15 | Zidi, M., Tounsi, A., Houari, M.S.A. and Beg, O.A. (2014), "Bending analysis of FGM plates under hygro-thermomechanical loading using a four variable refined plate theory", Aerosp. Sci. Technol., 34, 24-34. DOI |
16 | Zine, A., Tounsi, A., Draiche, K., Sekkal, M. and Mahmoud, S.R. (2018), "A novel higher-order shear deformation theory for bending and free vibration analysis of isotropic and multilayered plates and shells", Steel Compos. Struct., 26(2), 125-137. DOI |
17 | Nelson, R.B. and Lorch, D.R. (1974), "A refined theory for laminated orthotropic plates", J. Appl. Mech., 41(1), 177-183. DOI |
18 | Mokhtar, Y., Heireche, H., Bousahla, A.A., Houari, M.S.A., Tounsi, A. and Mahmoud, S.R. (2018), "A novel shear deformation theory for buckling analysis of single layer graphene sheet based on nonlocal elasticity theory", Smart Struct. Syst., 21(4), 397-405. DOI |
19 | Mouffoki, A., Adda Bedia, E.A., Houari, M.S.A., Tounsi, A. and Mahmoud, S.R. (2017), "Vibration analysis of nonlocal advanced nanobeams in hygro-thermal environment using a new two-unknown trigonometric shear deformation beam theory", Smart Struct. Syst., 20(3), 369-383. DOI |
20 | Murty, A.V.K. (1977), "Higher order theory for vibrations of thick plates", AIAA J., 15(12), 1823-1824. DOI |
21 | Noor, A.K. and Burton, W.S. (1989), "Assessment of shear deformation theories for multilayered composite plates", Appl. Mech. Rev., 42(1), 1-13. DOI |
22 | Ozturk, H. (2015), "Vibration analysis of a pre-stressed laminated composite curved beam", Steel Compos. Struct., 19(3), 635-659. DOI |
23 | Rahmani, O., Refaeinejad, V. and Hosseini, S.A.H. (2017), "Assessment of various nonlocal higher order theories for the bending and buckling behavior of functionally graded nanobeams", Steel Compos. Struct., 23(3), 339-350. DOI |
24 | Raminnea, M., Biglari, H. and Vakili Tahami, F. (2016), "Nonlinear higher order Reddy theory for temperaturedependent vibration and instability of embedded functionally graded pipes conveying fluid-nanoparticle mixture", Struct. Eng. Mech., 59(1), 153-186. DOI |
25 | Reddy, J.N. (1984), "A refined nonlinear theory of plates with transverse shear deformation", J. Solid. Struct., 20(9-10), 881-896. DOI |
26 | Jha, D.K., Kant, T. and Singh, R.K. (2013), "Free vibration response of functionally graded thick plates with shear and normal deformations effects", Compos. Struct., 96, 799-823. |
27 | Houari, M.S.A., Tounsi, A., Bessaim, A. and Mahmoud, S.R. (2016), "A new simple three-unknown sinusoidal shear deformation theory for functionally graded plates", Steel Compos. Struct., 22(2), 257-276. DOI |
28 | Janghorban, M. (2016), "Static analysis of functionally graded rectangular nanoplates based on nonlocal third order shear deformation theory", J. Eng. Appl. Sci., 8(2), 87-100. |
29 | Javed, S., Viswanathan, K.K., Aziz, Z.A., Karthik, K. and Lee, J.H. (2016), "Vibration of antisymmetric angle-ply laminated plates under higher order shear theory", Steel Compos. Struct., 22(6), 1281-1299. DOI |
30 | Jones, R.M. (1975), Mechanics of Composite Materials, Scripta Book Co., Washington, D.C., U.S.A. |
31 | Fekrar, A., Houari, M.S.A., Tounsi, A. and Mahmoud, S.R. (2014), "A new five-unknown refined theory based on neutral surface position for bending analysis of exponential graded plates", Meccanica, 49(4), 795-810. DOI |
32 | Reddy, J.N. (2011), "A general nonlinear third-order theory of functionally graded plates", J. Aerosp. Lightweight Struct., 1, 1-21. |
33 | Abdelaziz, H.H., Ait Amar Meziane, M., 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. DOI |
34 | Abualnour, M., Houari, M.S.A., Tounsi, A., Adda Bedia, E.A. and Mahmoud, S.R. (2018), "A novel quasi-3D trigonometric plate theory for free vibration analysis of advanced composite plates", Compos. Struct., 184, 688-697. DOI |
35 | Ahmed, A. (2014), "Post buckling analysis of sandwich beams with functionally graded faces using a consistent higher order theory", J. Civ. Struct. Environ., 4(2), 59-64. |
36 | Ahouel, M., Houari, M.S.A., Adda Bedia, E.A. and Tounsi, A. (2016), "Size-dependent mechanical behavior of functionally graded trigonometric shear deformable nanobeams including neutral surface position concept", Steel Compos. Struct., 20(5), 963-981. DOI |
37 | Eltaher, M.A., Alshorbagy, A.E. and Mahmoud, F.F. (2013), "Determination of neutral axis position and its effect on natural frequencies of functionally graded macro/nanobeams", Compos. Struct., 99, 193-201. |
38 | Fahsi, A., Tounsi, A., Hebali, H., Chikh, A., Adda Bedia, E.A. and Mahmoud, S.R. (2017), "A four variable refined nth-order shear deformation theory for mechanical and thermal buckling analysis of functionally graded plates", Geomech. Eng., 13(3), 385-410. DOI |
39 | Ferreira, A.J.M., Castro, L.M. and Bertoluzza, S. (2009), "A high order collocation method for the static and vibration analysis of composite plates using a first-order theory", Compos. Struct., 89(3), 424-432. DOI |
40 | Fourn, H., Ait Atmane, H., Bourada, M., Bousahla, A.A., Tounsi, A. and Mahmoud, S.R. (2018), "A novel four variable refined plate theory for wave propagation in functionally graded material plates", Steel Compos. Struct., 27(1), 109-122. DOI |
41 | Ghorbanpour Arani, A., Cheraghbak, A. and Kolahchi, R. (2016), "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. DOI |
42 | Ghugal, Y.M. and Sayyad, A.S. (2011), "Free vibration of thick orthotropic plates using trigonometric shear deformation theory", Lat. Amer. J. Solid. Struct., 8(3), 229-243. DOI |
43 | Ghugal, Y.M. and Shimpi, R.P. (2002), "A review of refined shear deformation theories for isotropic and anisotropic laminated plates", J. Reinf. Plast. Compos., 21(9), 775-813. DOI |
44 | Kar, V.R., Panda, S.K. and Mahapatra, T.R. (2016), "Thermal buckling behaviour of shear deformable functionally graded single/doubly curved shell panel with TD and TID properties", Adv. Mater. Res., 5(4), 205-221. DOI |
45 | Kaci, A., Houari, M.S.A., Bousahla, A.A., Tounsi, A. and Mahmoud, S.R. (2018), "Post-buckling analysis of sheardeformable composite beams using a novel simple twounknown beam theory", Struct. Eng. Mech., 65(5), 621-631. DOI |
46 | Kant, T. (1982), "Numerical analysis of thick plates", Comput. Meth. Appl. Mech. Eng., 31(1), 1-18. DOI |
47 | Kant, T. (1993), "A critical review and some results of recently developed refined theories of fiber-reinforced laminated composites and sandwiches", Compos. Struct., 23(4), 293-312. DOI |
48 | Karama, M., Afaq, K.S. and Mistou, S. (2003), "Mechanical behaviour of laminated composite beam by the new multilayered laminated composite structures model with transverse shear stress continuity", J. Solid. Struct., 40(6), 1525-1546. DOI |
49 | Ait Atmane, H., Tounsi, A., Bernard, F. and Mahmoud, S.R. (2015), "A computational shear displacement model for vibrational analysis of functionally graded beams with porosities", Steel Compos. Struct., 19(2), 369-384. DOI |
50 | Ait Amar Meziane, M., Abdelaziz, H.H. and Tounsi, A. (2014), "An efficient and simple refined theory for buckling and free vibration of exponentially graded sandwich plates under various boundary conditions", J. Sandw. Struct. Mater., 16(3), 293-318. DOI |
51 | Saidi, H., Tounsi, A. and Bousahla, A.A. (2016), "A simple hyperbolic shear deformation theory for vibration analysis of thick functionally graded rectangular plates resting on elastic foundations", Geomech. Eng., 11(2), 289-307. DOI |
52 | Reissner, E. (1945), "The effect of transverse shear deformation on the bending of elastic plates", J. Appl. Mech., 12, 69-77. |
53 | Sadoune, M., Tounsi, A., Houari, M.S.A. and Adda, B. (2014), "A novel first-order shear deformation theory for laminated composite plates", Steel Compos. Struct., 17(3), 321-338. DOI |
54 | Sahoo, S.S., Hirwani, C.K., Panda, S.K. and Sen, D. (2017), "Numerical analysis of vibration and transient behaviour of laminated composite curved shallow shell structure: An experimental validation", Scientia Iranica, 25(4), 2218-2232. |
55 | Sayyad, A.S. and Ghugal, Y.M. (2015), "On the free vibration analysis of laminated composite and sandwich plates: A review of recent literature with some numerical results", Compos. Struct., 129, 177-201. DOI |
56 | Sekkal, M., Fahsi, B., Tounsi, A. and Mahmoud, S.R. (2017a), "A novel and simple higher order shear deformation theory for stability and vibration of functionally graded sandwich plate", Steel Compos. Struct., 25(4), 389-401. DOI |
57 | Sekkal, M., Fahsi, B., Tounsi, A. and Mahmoud, S.R. (2017b), "A new quasi-3D HSDT for buckling and vibration of FG plate", Struct. Eng. Mech., 64(6), 737-749. DOI |
58 | Sobhy, M. (2014), "Generalized two-variable plate theory for multi-layered graphene sheets with arbitrary boundary conditions", Acta Mechanica, 225(9), 2521-2538. DOI |
59 | Ait Yahia, S., Ait Atmane, H., Houari, M.S.A. and Tounsi, A. (2015), "Wave propagation in functionally graded plates with porosities using various higher-order shear deformation plate theories", Struct. Eng. Mech., 53(6), 1143-1165. DOI |
60 | Sobhy, M. and Radwan, A.F. (2017), "A new quasi 3D nonlocal plate theory for vibration and buckling of FGM nanoplates", J. Appl. Mech., 9(1), 1750008. DOI |
61 | Akavci, S.S. (2016), "Mechanical behavior of functionally graded sandwich plates on elastic foundation", Compos. Part B, 96, 136-152. DOI |
62 | Attia, A., Bousahla, A.A., Tounsi, A., Mahmoud, S.R. and Alwabli, A.S. (2018), "A refined four variable plate theory for thermoelastic analysis of FGM plates resting on variable elastic foundations", Struct. Eng. Mech., 65(4), 453-464. DOI |
63 | Attia, A., Tounsi, A., Adda Bedia, E.A. and Mahmoud, S.R. (2015), "Free vibration analysis of functionally graded plates with temperature-dependent properties using various four variable refined plate theories", Steel Compos. Struct., 18(1), 187-212. DOI |
64 | Bakhadda, B., Bachir Bouiadjra, M., Bourada, F., Bousahla, A.A., Tounsi, A. and Mahmoud, S.R. (2018), "Dynamic and bending analysis of carbon nanotube-reinforced composite plates with elastic foundation", Wind Struct., In Press. |
65 | Baseri, V., Jafari, G.S. and Kolahchi, R. (2016), "Analytical solution for buckling of embedded laminated plates based on higher order shear deformation plate theory", Steel Compos. Struct., 21(4), 883-919. DOI |
66 | Hashemi, S.H. and Arsanjani, M. (2005), "Exact characteristic equations for some of classical boundary conditions of vibrating moderately thick rectangular plates", J. Solid. Struct., 42(3-4), 819-853. DOI |
67 | Hachemi, H., Kaci, A., Houari, M.S.A., Bourada, A., Tounsi, A. and Mahmoud, S.R. (2017), "A new simple three-unknown shear deformation theory for bending analysis of FG plates resting on elastic foundations", Steel Compos. Struct., 25(6), 717-726. DOI |
68 | Hamidi, A., Houari, M.S.A., Mahmoud, S.R. and Tounsi, A. (2015), "A sinusoidal plate theory with 5-unknowns and stretching effect for thermomechanical bending of functionally graded sandwich plates", Steel Compos. Struct., 18(1), 235-253. DOI |
69 | Hanna, N.F., Leissa, A.W. (1994), "A higher order shear deformation theory for the vibration of thick plates", J. Sound Vib., 170(4), 545-555. DOI |
70 | Hebali, H., Bakora, A., Tounsi, A. and Kaci, A. (2016), "A novel four variable refined plate theory for bending, buckling, and vibration of functionally graded plates", Steel Compos. Struct., 22(3),473-495. DOI |
71 | Hebali, H., Tounsi, A., Houari, M.S.A., Bessaim, A. and Adda Bedia, E.A. (2014), "A new quasi-3D hyperbolic shear deformation theory for the static and free vibration analysis of functionally graded plates", J. Eng. Mech., 140(2), 374-383. DOI |
72 | Khetir, H., Bachir Bouiadjra, M., Houari, M.S.A., Tounsi, A. and Mahmoud, S.R. (2017), "A new nonlocal trigonometric shear deformation theory for thermal buckling analysis of embedded nanosize FG plates", Struct. Eng. Mech., 64(4), 391-402. DOI |
73 | Karami, B., Janghorban, M. and Tounsi, A. (2018a), "Nonlocal strain gradient 3D elasticity theory for anisotropic spherical nanoparticles", Steel Compos. Struct., 27(2), 201-216. DOI |
74 | Karami, B., Janghorban, M. and Tounsi, A. (2018c), "Variational approach for wave dispersion in anisotropic doubly-curved nanoshells based on a new nonlocal strain gradient higher order shell theory", Thin Wall. Struct., 129, 251-264. DOI |
75 | Becheri, T., Amara, K., Bouazza, M. and Benseddiq, N. (2016), "Buckling of symmetrically laminated plates using nth-order shear deformation theory with curvature effects", Steel Compos. Struct., 21(6), 1347-1368. DOI |
76 | Belabed, Z., Bousahla, A.A., Houari, M.S.A., Tounsi, A. and Mahmoud, S.R. (2018), "A new 3-unknown hyperbolic shear deformation theory for vibration of functionally graded sandwich plate", Earthq. Struct., 14(2), 103-115. DOI |
77 | Hirwani, C.K., Panda, S.K., Mahapatra, S.S., Mandal, S.K. and De, A.K. (2017b), "Dynamic behaviour of delaminated composite plate under blast loading", Proceedings of the ASME 2017 Gas Turbine India Conference, Bengalaru, India, December. |
78 | Hirwani, C.K., Panda, S.K., Mahapatra, T.R. and Mahapatra, S.S. (2017a), "Numerical study and experimental validation of dynamic characteristics of delaminated composite flat and curved shallow shell structure", J. Aerospace Eng., 30(5), 04017045. DOI |
79 | Karami, B., Janghorban, M., Shahsavari, D. and Tounsi, A. (2018b), "A size-dependent quasi-3D model for wave dispersion analysis of FG nanoplates", Steel Compos. Struct., 28(1), 99-110. DOI |
80 | Khandan, R., Noroozi, S., Sewell, P. and Vinney, J. (2012), "The development of laminated composite plate theories: A review", J. Mater. Sci., 47(16), 5901-5910. DOI |
81 | Kirchhoff, G.R. (1850a), "Uber das gleichgewicht und die bewegung einer elastischen scheibe", J. Reine Angew. Math., 40, 51-88. |
82 | Kirchhoff, G.R. (1850b), "Uber die uchwingungen einer kriesformigen elastischen scheibe", Poggendorffs Annalen, 81, 58-264. |
83 | Klouche, F., Darcherif, L., Sekkal, M., Tounsi, A. and Mahmoud, S.R. (2017), "An original single variable shear deformation theory for buckling analysis of thick isotropic plates", Struct. Eng. Mech., 63(4), 439-446. DOI |
84 | Kreja, I. (2011), "A literature review on computational models for laminated composite and sandwich panels", Cent. Eur. J. Eng., 1(1), 59-80. DOI |
85 | Kshirsagar, S. and Bhaskar, K. (2009), "Free vibration and stability analysis of orthotropic shear-deformable plates using untruncated infinite series superposition method", Thin Wall. Struct., 47(4), 403-411. DOI |
86 | Stein, M. and Bains, N.J.C. (1990), "Post buckling behavior of longitudinally compressed orthotropic plates with transverse shearing flexibility", AIAA J., 28(5), 892-895. DOI |
87 | Sobhy, M. and Zenkour, A.M. (2018), "Thermal buckling of double-layered graphene system in humid environment", Mater. Res. Express, 5, 015028. DOI |
88 | Soldatos, K.P. (1992), "A transverse shear deformation theory for homogeneous monoclinic plates", Acta Mechanica, 94(3-4), 195-220. DOI |
89 | Srinivas, S., Joga Rao, C.V. and Rao, A.K. (1970), "An exact analysis for vibration of simply supported homogeneous and laminated thick rectangular plates", J. Sound Vib., 12(2), 187-199. DOI |
90 | Sturzenbecher, R. and Hofstetter, K. (2011), "Bending of cross-ply laminated composites: an accurate and efficient plate theory based upon models of Lekhnitskii and Ren", Compos. Struct., 93(3), 1078-1088. DOI |
91 | Tounsi, A., Houari, M.S.A., Benyoucef, S. and Adda Bedia, E.A. (2013), "A refined trigonometric shear deformation theory for thermoelastic bending of functionally graded sandwich plates", Aerosp. Sci. Technol., 24(1), 209-220. DOI |
92 | Taibi, F.Z., Benyoucef, S., Tounsi, A., Bachir Bouiadjra, R., Adda Bedia, E.A. and Mahmoud, S.R. (2015), "A simple shear deformation theory for thermo-mechanical behaviour of functionally graded sandwich plates on elastic foundations", J. Sandw. Struct. Mater., 17(2), 99-129. DOI |
93 | Talha, M. and Singh, B.N. (2010), "Static response and free vibration analysis of FGM plates using higher order shear deformation theory", Appl. Math. Model., 34(12), 3991-4011. DOI |
94 | Thai, H.T. and Kim, S.E. (2012), "Levy-type solution for free vibration analysis of orthotropic plates based on two variable refined plate theory", Appl. Math. Model., 36(8), 3870-3882. DOI |
95 | Touratier, M. (1991), "An efficient standard plate theory", J. Eng. Sci., 29(8), 901-916. |
96 | Bellifa, H., Bakora, A., Tounsi, A., Bousahla, A.A. and Mahmoud, S.R. (2017a), "An efficient and simple four variable refined plate theory for buckling analysis of functionally graded plates", Steel Compos. Struct., 25(3), 257-270. DOI |
97 | Belabed, Z., Houari, M.S.A., Tounsi, A., Mahmoud, S.R. and Anwar Beg, O. (2014), "An efficient and simple higher order shear and normal deformation theory for functionally graded material (FGM) plates", Compos. Part B, 60, 274-283. DOI |
98 | Beldjelili, Y., Tounsi, A. and Mahmoud, S.R. (2016), "Hygrothermo-mechanical bending of S-FGM plates resting on variable elastic foundations using a four-variable trigonometric plate theory", Smart Struct. Syst., 18(4), 755-786. DOI |
99 | Belkorissat, I., Houari, M.S.A., Tounsi, A., Adda Bedia, E.A. and Mahmoud, S.R. (2015), "On vibration properties of functionally graded nano-plate using a new nonlocal refined four variable model", Steel Compos. Struct., 18(4), 1063-1081. DOI |
100 | Bellifa, H., Benrahou, K.H., Bousahla, A.A., Tounsi, A. and Mahmoud, S.R. (2017b), "A nonlocal zeroth-order shear deformation theory for nonlinear postbuckling of nanobeams", Struct. Eng. Mech., 62(6), 695-702. DOI |
101 | 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. Braz. Soc. Mech. Sci. Eng., 38(1), 265-275. DOI |
102 | Benadouda, M., Ait Atmane, H., Tounsi, A., Bernard, F. and Mahmoud, S.R. (2017), "An efficient shear deformation theory for wave propagation in functionally graded material beams with porosities", Earthq. Struct., 13(3), 255-265. DOI |
103 | Benahmed, A., Houari, M.S.A., Benyoucef, S., Belakhdar, K. and Tounsi, A. (2017), "A novel quasi-3D hyperbolic shear deformation theory for functionally graded thick rectangular plates on elastic foundation", Geomech. Eng., 12(1), 9-34. DOI |
104 | Levy, M. (1977), "Memoire sur la theorie des plaques elastique planes", J. Math. Pure. Appl., 30, 219-306. |
105 | Laoufi, I., Ameur, M., Zidi, M., Adda Bedia, E.A. and Bousahla, A.A. (2016), "Mechanical and hygrothermal behaviour of functionally graded plates using a hyperbolic shear deformation theory", Steel Compos. Struct., 20(4), 889-912. DOI |
106 | Larbi Chaht, F., Kaci, A., Houari, M.S.A., Tounsi, A., Anwar Beg, O. and Mahmoud, S.R. (2015), "Bending and buckling analyses of functionally graded material (FGM) size-dependent nanoscale beams including the thickness stretching effect", Steel Compos. Struct., 18(2), 425-442. DOI |
107 | Levinson, M. (1980), "An accurate, simple theory of the statics and dynamics of elastic plates", Mech. Res. Commun., 7(6), 343-350. DOI |
108 | Liew, K.M., Xiang, Y. and Kitipornchai, S. (1995), "Research on thick plate vibration: A literature survey", J. Sound Vib., 180, 163-176. DOI |
109 | Lo, K.H., Christensen, R.M. and Wu, E.M. (1977a), "A high-order theory of plate deformation, Part 1: Homogeneous plates", J. Appl. Mech., 44(4), 663-668. DOI |
110 | Lo, K.H., Christensen, R.M. and Wu, E.M. (1977b), "A high-order theory of plate deformation, Part 2: Laminated plates", J. Appl. Mech., 44, 669-676. DOI |
111 | Mahapatra, T.R. and Panda, S.K. (2015), "Thermoelastic vibration analysis of laminated doubly curved shallow panels using nonlinear FEM", J. Therm. Stress., 38(1), 39-68. DOI |
112 | Mahapatra, T.R., Kar, V.R. and Panda, S.K. (2015), "Nonlinear free vibration analysis of laminated composite doubly curved shell panel in hygrothermal environment", J. Sandw. Struct. Mater., 17(5), 511-545. DOI |
113 | Mahi, A., Adda Bedia, E.A. and Tounsi, A. (2015), "A new hyperbolic shear deformation theory for bending and free vibration analysis of isotropic, functionally graded, sandwich and laminated composite plates", Appl. Math. Model., 39(9), 2489-2508. DOI |
114 | Wu, C.P. and Chiu, K.H. (2011), "RMVT-based meshless collocation and element-free Galerkin methods for the quasi-3D free vibration analysis of multilayered composite and FGM plates", Compos. Struct., 93(5), 1433-1448. DOI |
115 | Vasil'ev, V.V. (1992), "The theory of thin plates. mechanics of solids", Mekhanika Tverdogo Tela, 27, 22-42. |
116 | Benchohra, M., Driz, H., Bakora, A., Tounsi, A., Adda Bedia, E.A. and Mahmoud, S.R. (2018), "A new quasi-3D sinusoidal shear deformation theory for functionally graded plates", Struct. Eng. Mech., 65(1), 19-31. DOI |
117 | Bennoun, M., Houari, M.S.A. and Tounsi, A. (2016), "A novel five variable refined plate theory for vibration analysis of functionally graded sandwich plates", Mech. Adv. Mater. Struct., 23(4), 423-431. DOI |
118 | Besseghier, A., Houari, M.S.A., Tounsi, A. and Mahmoud, S.R. (2017), "Free vibration analysis of embedded nanosize FG plates using a new nonlocal trigonometric shear deformation theory", Smart Struct. Syst., 19(6), 601-614. DOI |
119 | Vel, S.S., Caccese, V. and Zhao, H. (2005), "Elastic coupling effects in tapered sandwich panels with laminated anisotropic composite facings", J. Compos. Mater., 39(24), 2161-2183. DOI |
120 | Wanji, C. and Zhen, W. (2008), "A selective review on recent development of displacement-based laminated plate theories", Recent Patent. Mech. Eng., 1(1), 29-44. DOI |
121 | Yazid, M., Heireche, H., Tounsi, A., Bousahla, A.A. and Houari, M.S.A. (2018), "A novel nonlocal refined plate theory for stability response of orthotropic single-layer graphene sheet resting on elastic medium", Smart Struct. Syst., 21(1), 15-25. DOI |
122 | Youcef, D.O., Kaci, A., Benzair, A., Bousahla, A.A. and Tounsi, A. (2018), "Dynamic analysis of nanoscale beams including surface stress effects", Smart Struct. Syst., 21(1), 65-74. DOI |
123 | Younsi, A., Tounsi, A, Zaoui, F.Z., Bousahla, A.A. and Mahmoud, S.R. (2018), "Novel quasi-3D and 2D shear deformation theories for bending and free vibration analysis of FGM plates", Geomech. Eng., 14(6), 519-532. DOI |
124 | Zemri, A., Houari, M.S.A., Bousahla, A.A. and Tounsi, A. (2015), "A mechanical response of functionally graded nanoscale beam: An assessment of a refined nonlocal shear deformation theory beam theory", Struct. Eng. Mech., 54(4), 693-710. DOI |
125 | Zenkour, A.M. and Sobhy, M. (2010), "Thermal buckling of various types of FGM sandwich plates", Compos. Struct., 93(1), 93-102. DOI |
126 | Bouderba, B., Houari, M.S.A. and Tounsi, A. and Mahmoud, S.R. (2016), "Thermal stability of functionally graded sandwich plates using a simple shear deformation theory", Struct. Eng. Mech., 58(3), 397-422. DOI |
127 | Bhimaraddi, A. and Stevens, L.K. (1984), "A higher order theory for free vibration of orthotropic, homogenous, and laminated rectangular plates", J. Appl. Mech., 51(1), 195-198. DOI |
128 | Bouafia, K., Kaci, A., Houari, M.S.A., Benzair, A. and Tounsi, A. (2017), "A nonlocal quasi-3D theory for bending and free flexural vibration behaviors of functionally graded nanobeams", Smart Struct. Syst., 19(2), 115-126. DOI |
129 | Bouderba, B., Houari, M.S.A. and Tounsi, A. (2013), "Thermomechanical bending response of FGM thick plates resting on Winkler-Pasternak elastic foundations", Steel Compos. Struct., 14(1), 85-104. DOI |
130 | Bouhadra, A., Tounsi, A., Bousahla, A.A., Benyoucef, S. and Mahmoud, S.R. (2018), "Improved HSDT accounting for effect of thickness stretching in advanced composite plates", Struct. Eng. Mech., 66(1), 61-73 DOI |
131 | Boukhari, A., Ait Atmane, H., Houari, M.S.A., Tounsi, A., Adda Bedia, E.A. and Mahmoud, S.R. (2016), "An efficient shear deformation theory for wave propagation of functionally graded material plates", Struct. Eng. Mech., 57(5), 837-859. DOI |
132 | Menasria, A., Bouhadra, A., Tounsi, A., Bousahla, A.A. and Mahmoud, S.R. (2017), "A new and simple HSDT for thermal stability analysis of FG sandwich plates", Steel Compos. Struct., 25(2), 157-175. DOI |
133 | Mantari, J.L., Oktem, A.S. and Soares, C.G. (2012), "A new higher order shear deformation theory for sandwich and composite laminated plates", Compos. Part B, 43(3), 1489-1499. DOI |
134 | Matsunaga, H. (2008), "Free vibration and stability of functionally graded plates according to a 2-D higher-order deformation theory", Compos. Struct., 82(4), 499-512. DOI |
135 | Mehar, K. and Panda, S.K. (2017), "Elastic bending and stress analysis of carbon nanotube-reinforced composite plate: Experimental, numerical, and simulation", Adv. Polym. Technol. |
136 | Mehar, K., Panda, S.K. and Mahapatra, T.R. (2017), "Theoretical and experimental investigation of vibration characteristic of carbon nanotube reinforced polymer composite structure", J. Mech. Sci., 133, 319-329. |
137 | Meksi, R, Benyoucef, S., Mahmoudi, A., Tounsi, A., Adda Bedia, E.A. and Mahmoud, S.R. (2018), "An analytical solution for bending, buckling and vibration responses of FGM sandwich plates", J. Sandw. Struct. Mater., 1099636217698443. |
138 | Meradjah, M., Kaci, A., Houari, M.S.A., Tounsi, A. and Mahmoud, S.R. (2015), "A new higher order shear and normal deformation theory for functionally graded beams", Steel Compos. Struct., 18(3), 793-809. DOI |
139 | Mindlin, R.D. (1951), "Influence of rotatory inertia and shear on flexural motions of isotropic, elastic plates", J. Appl. Mech., 18, 31-38. |
140 | Mohammadimehr, M., Rostami, R. and Arefi, M. (2016), "Electroelastic analysis of a sandwich thick plate considering FG core and composite piezoelectric layers on Pasternak foundation using TSDT", Steel Compos. Struct., 20(3), 513-543. DOI |
141 | Bounouara, F., Benrahou, K.H., Belkorissat, I. and Tounsi, A. (2016), "A nonlocal zeroth-order shear deformation theory for free vibration of functionally graded nanoscale plates resting on elastic foundation", Steel Compos. Struct., 20(2), 227-249. DOI |
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