A four variable trigonometric integral plate theory for hygro-thermo-mechanical bending analysis of AFG ceramic-metal plates resting on a two-parameter elastic foundation |
Tounsi, Abdelouahed
(Department of Civil and Environmental Engineering, King Fahd University of Petroleum & Minerals)
Al-Dulaijan, S.U. (Department of Civil and Environmental Engineering, King Fahd University of Petroleum & Minerals) Al-Osta, Mohammed A. (Department of Civil and Environmental Engineering, King Fahd University of Petroleum & Minerals) Chikh, Abdelbaki (Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Civil Engineering Department) Al-Zahrani, M.M. (Department of Civil and Environmental Engineering, King Fahd University of Petroleum & Minerals) Sharif, Alfarabi (Department of Civil and Environmental Engineering, King Fahd University of Petroleum & Minerals) Tounsi, Abdeldjebbar (Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Civil Engineering Department) |
1 | Mahapatra, T.R. and Panda, S.K. (2015), "Effects of hygrothermal conditions on free vibration behaviour of laminated composite structures", IOP CONFERENCE SERIES: MATERIALS SCIENCE and Engineering, 75(1), 012016. DOI |
2 | Mehar, K., Panda, S.K. and Patle, B.K. (2017), "Thermoelastic vibration and flexural behavior of FG-CNT reinforced composite curved panel", Int. J. Appl. Mech., 9(4), 1750046. https://doi.org/10.1142/S1758825117500466. DOI |
3 | Mehar, K. and Panda, S.K. (2018), "Nonlinear finite element solutions of thermoelastic flexural strength and stress values of temperature dependent graded CNT-reinforced sandwich shallow shell structure", Struct. Eng. Mech., 67(6), 565-578. https://doi.org/10.12989/sem.2018.67.6.565. DOI |
4 | Mindlin, R.D. (1951), "Influence of rotatory inertia and shear on flexural motions of isotropic elastic plates", ASME J. Appl. Mech., 18, 31-38. DOI |
5 | Nguyen, T.K., Sab, K. and Bonnet, G. (2008), "First-order shear deformation plate models for functionally graded materials", Compos. Struct., 83(1), 25-36. https://doi.org/10.1016/j.compstruct.2007.03.004. DOI |
6 | Reddy, J.N. (2000), "Analysis of functionally graded plates", Int. J. Numer. Meth. Eng., 47(1-3), 663-684. https://doi.org/10.1002/(SICI)1097-0207(20000110/30)47:1/3<663::AID-NME787>3.0.CO;2-8. DOI |
7 | Panjehpour, M., Woo, E., Loh, K. and Deepak, T.J. (2018), "Structural Insulated Panels: State-of-the-Art", Trends in civil Engineering and its architecture, 3(1) 336-340. |
8 | Sahoo, S.S., Panda, S.K. and Singh, V.K. (2016), "Nonlinear flexural analysis of shallow carbon/epoxy laminated composite curved panels: experimental and numerical investigation", J. Eng. Mech., 142(4), 04016008. https://doi.org/10.1061/(ASCE)EM.1943-7889.0001040 DOI |
9 | Alibeigloo, A. (2010), "Exact solution for thermo-elastic response of functionally graded rectangular plates", Compos. Struct., 92(1), 113-121. https://doi.org/10.1016/j.compstruct.2009.07.003. DOI |
10 | Aliaga, J.W. and Reddy, J.N. (2004), "Nonlinear thermoelastic analysis of functionally graded plates using the third-order shear deformation theory", Int. J. Comp. Eng. Sci., 5(4), 753-779. https://doi.org/10.1142/S146587630400266. DOI |
11 | Benferhat, R., HassaineDaouadji, 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 |
12 | 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 |
13 | Avcar, M. and Mohammed, W.K.M. (2018), "Free vibration of functionally graded beams resting on Winkler-Pasternak foundation", Arabian J. Geosci., 11(10), 232. https://doi.org/10.1007/s12517-018-3579-2. DOI |
14 | Avcar, M. (2016), "Effects of material non-homogeneity and two parameter elastic foundation on fundamental frequency parameters of Timoshenko beams", Acta Physica Polonica A, 130(1), 375-378. DOI: 10.12693/APhysPolA.130.375. DOI |
15 | Bouderba, B. (2018), "Bending of FGM rectangular plates resting on non-uniform elastic foundations in thermal environment using an accurate theory", Steel Compos. Struct., 27(3), 311-325. https://doi.org/10.12989/scs.2018.27.3.311. DOI |
16 | Chavan, S.G. and Lal, A. (2017), "Dynamic bending response of SWCNT reinforced composite plates subjected to hygro-thermo-mechanical loading", Comput. Concrete, 20(2), 229-246. https://doi.org/10.12989/cac.2017.20.2.229. DOI |
17 | Chen, W.Q., Bian, Z. and Ding, H. (2003), "Three-dimensional analysis of a thick FGM rectangular plate in thermal environment", J. Zhejiang Univ. Sci., 4(1), 1-7. https://doi.org/10.1007/BF02841071. DOI |
18 | Chi, S.H. and Chung, Y.L. (2006a), "Mechanical behavior of functionally graded material plates under transverse load-Part I: analysis", Int. J. Solids Struct., 43(13), 3657-3674. https://doi.org/10.1016/j.ijsolstr.2005.04.011. DOI |
19 | Sayyad, A.S. and Ghugal, Y.M. (2019), "Effects of nonlinear hygrothermomechanical loading on bending of FGM rectangular plates resting on two-parameter elastic foundation using four-unknown plate theory", J. Therm. Stresses, 42(2), 213-232. https://doi.org/10.1080/01495739.2018.1469962. DOI |
20 | Sahoo, S.S., Panda, S.K., Singh, V.K., Mahapatra, T.R. (2017), "Numerical investigation on the nonlinear flexural behaviour of wrapped glass/epoxy laminated composite panel and experimental validation", Arch. Appl. Mech., 87(2), 315-333. https://doi.org/10.1007/s00419-016-1195-8. DOI |
21 | Sayyad, A.S. and Ghugal, Y.M. (2017a), "A unified shear deformation theory for the bending of isotropic, functionally graded, laminated and sandwich beams and plates", Int. J. Appl. Mech., 9(1), 1-36. https://doi.org/10.1142/S1758825117500077. |
22 | Sayyad, A.S. and Ghugal, Y.M. (2017b), "Bending, buckling and free vibration of laminated composite and sandwich beams: a critical review of literature", Compos. Struct., 171, 486-504. s://doi.org/10.1016/j.compstruct.2017.03.053. DOI |
23 | 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. https://doi.org/10.1016/j.compstruct.2015.04.007. DOI |
24 | 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 |
25 | Shahadat, M.R.B., Alam, M.F., Mandal, M.N.A. and Ali, M.M. (2018), "Thermal transportation behaviour prediction of defective graphene sheet at various temperature: A Molecular Dynamics Study", Am. J. Nanomater., 6(1), 34-40. |
26 | Eltaher, M.A., Fouda, N., El-midany, T. and Sadoun, A.M. (2018), "Modified porosity model in analysis of functionally graded porous nanobeams", J. Brazilian Soc. Mech. Sci. Eng., 40, 141. https://doi.org/10.1007/s40430-018-1065-0. DOI |
27 | Sharma, N., Mahapatra, T.R. and Panda, S.K. (2018), "Numerical analysis of acoustic radiation responses of shear deformable laminated composite shell panel in hygrothermal environment", J. Sound Vib., 431, 346-366. tps://doi.org/10.1016/j.jsv.2018.06.007. DOI |
28 | Chi, S.H. and Chung, Y.L. (2006b), "Mechanical behavior of functionally graded material plates under transverse load -Part II: numerical results", Int. J. Solids Struct., 43(13), 3675-3691. https://doi.org/10.1016/j.ijsolstr.2005.04.010 DOI |
29 | Civalek, O. and Ozturk, B. (2010), "Free vibration analysis of tapered beam-column with pinned ends embedded in Winkler-Pasternak elastic foundation", Geomech. Eng., 2(1), 45-56. https://doi.org/10.12989/gae.2010.2.1.045. DOI |
30 | Daouadji, T.H., Adim, B. and Benferhat, R. (2016), "Bending analysis of an imperfect FGM plates under hygro-thermo-mechanical loading with analytical validation", Adv. Mater. Res., 5(1), 35-53. https://doi.org/10.12989/amr.2016.5.1.035. DOI |
31 | Fadoun, O.O. (2019), "Analysis of axisymmetric fractional vibration 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 |
32 | Faleh, N.M., Ahmed, R.A. and Fenjan, R.M. (2018), "On vibrations of porous FG nanoshells", Int. J. Eng. Sci., 133, 1-14. ttps://doi.org/10.1016/j.ijengsci.2018.08.007. DOI |
33 | Fazzolari, F.A. (2016), "Modal characteristics of P- and S-FGM plates with temperature-dependent materials in thermal environment", J. Therm. Stresses, 39(7), 854-873. https://doi.org/10.1080/01495739.2016.1189772. DOI |
34 | Gulshan Taj, M.N.A., Chakrabarti, A. and Sheikh, A.H. (2013), "Analysis of functionally graded plates using higher order shear deformation theory", Appl. Math. Model., 37(18-19), 8484-8494. https://doi.org/10.1016/j.apm.2013.03.058. DOI |
35 | Yaghoobi, H., Valipour, M.S., Fereidoon, A. and Khoshnevisrad, P. (2014), "Analytical study on post-buckling and nonlinear free vibration analysis of FG beams resting on nonlinear elastic foundation under thermo-mechanical loadings using VIM", Steel Compos. Struct., 17(5), 753-776. http://dx.doi.org/10.12989/scs.2014.17.5.753. DOI |
36 | Sharma, N., Mahapatra, T.R. and Panda, S.K. (2019), "Hygrothermal effect on vibroacoustic behaviour of higher-order sandwich panel structure with laminated composite face sheets", Eng. Struct., 197, 109355. https://doi.org/10.1016/j.engstruct.2019.109355. DOI |
37 | Touratier, M. (1991), "An efficient standard plate theory", Int. J. Eng. Sci., 29(8), 901-916. https://doi.org/10.1016/0020-7225(91)90165-Y. DOI |
38 | Vel, S., Batra, R. (2002), "Exact solution for thermoelastic deformations of functionally graded thick rectangular plates", AIAA J., 40(7), 1421-1433. https://doi.org/10.2514/2.1805. DOI |
39 | Zenkour, A.M. (2006), "Generalized shear deformation theory for bending analysis of functionally graded plates", Appl. Math. Model., 30(1), 67-84. ttps://doi.org/10.1016/j.apm.2005.03.009. DOI |
40 | Zidi, M., Tounsi, A., Houari, M.S.A., Adda Bedia, E.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. DOI |
41 | Mahapatra, T.R., Panda, S.K. and Kar, V.R. (2016b), "Nonlinear flexural analysis of laminated composite panel under hygro-thermo-mechanical loading - A Micromechanical Approach", Int. J. Comput. Methods, 13(3), 1650015. DOI |
42 | Hirwani, C.K., Biswash, S.,Mehar, K. and Panda, S.K. (2018), "Numerical flexural strength analysis of thermally stressed delaminated composite structure under sinusoidal loading", IOP Conf. Series: Materials Science and Engineering, 338, 012019. doi:10.1088/1757-899X/338/1/012019 DOI |
43 | 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. DOI |
44 | Kar, V.R. and Panda, S.K. (2015), "Free vibration responses of temperature dependent functionally graded curved panels under thermal environment", Latin Am. J. Solids Struct., 12, 2006-2024. http://dx.doi.org/10.1590/1679-78251691. DOI |
45 | Kar, V.R., Mahapatra, T.R. and Panda, S.K. (2015), "Nonlinear flexural analysis of laminated composite flat panel under hygro-thermo-mechanical loading", Steel Compos. Struct., 19(4), 1011-1033. https://doi.org/10.12989/scs.2015.19.4.1011. DOI |
46 | Mahapatra, T.R., Panda, S.K. and Dash, S. (2016a), "Effect of hygrothermal environment on the nonlinear free vibration responses of laminated composite plates: A nonlinear Unite element micromechanical approach", IOP CONFERENCE SERIES: MATERIALS SCIENCE and Engineering, 149(1), 012151. DOI |
47 | Mahapatra, T.R., Panda, S.K. and Kar, V.R. (2016c), "Geometrically nonlinear flexural analysis of hygro-thermo-elastic laminated composite doubly curved shell panel", Int. J. Mech. Mater. Design, 12(2), 153-171. DOI |
48 | Mahapatra, T.R., Panda, S.K. (2016), "Hygrothermal effects on the flexural strength of laminated composite cylindrical panels", IOP Conference Series: Materials Science and Engineering, 115(1), 012040. DOI |