1 |
Shafiei, N. and She, G.L. (2018), "On vibration of functionally graded nanotubes in thermal environment", Int. J. Eng. Sci., 133, 84-98. https://doi.org/10.1016/j.ijengsci.2018.08.004
DOI
|
2 |
She, G.L., Yuan, F.G. and Ren, Y.R. (2017), "Nonlinear analysis of bending, thermal buckling and post-buckling for functionally graded tubes by using a refined beam theory", Compos. Struct., 165, 74-82. https://doi.org/10.1016/j.compstruct.2017.01.013
DOI
|
3 |
She, G.L., Yuan, F.G., Ren, Y.R., Liu, H.B. and Xiao, W.S. (2018a), "Nonlinear bending and vibration analysis of functionally graded porous tubes via a nonlocal strain gradient theory", Compos. Struct., 203, 614-623. https://doi.org/10.1016/j.compstruct.2018.07.063
DOI
|
4 |
She, G.L., Ren, Y.R., Yuan, F.G. and Xiao, W.S. (2018b), "On vibrations of porous nanotubes", Int. J. Eng. Sci., 125, 23-35. https://doi.org/10.1016/j.ijengsci.2017.12.009
DOI
|
5 |
She, G.L., Ren, Y.R., Yuan, F.G. (2019), "Hygro-thermal wave propagation in functionally graded double-layered nanotubes systems", Steel Compos. Struct., Int. J., 31(6), 641-653. https://doi.org/10.12989/scs.2019.31.6.641
|
6 |
Shen, H.S. (2009), Functionally Graded Materials Nonlinear Analysis of Plates and Shells, CRC Press, Boca Raton, FL, USA. https://doi.org/10.1201/9781420092578
|
7 |
Arefi, M. (2015), "The effect of different functionalities of fgm and FGPM layers on free vibration analysis of the FG circular plates integrated with piezoelectric layers", Smart Struct. Syst., Int. J., 15(5), 1345-1362. https://doi.org/10.12989/sss.2015.15.5.1345
DOI
|
8 |
Babaei, H., Kiani, Y. and Eslami, M.R. (2018a), "Application of two-steps perturbation technique to geometrically nonlinear analysis of long FGM cylindrical panels on elastic foundation under thermal load", J. Therm. Stress., 41(7), 847-865. https://doi.org/10.1080/01495739.2017.1421054
DOI
|
9 |
Shen, H.S. (2013), A Two-Step Perturbation Method in Nonlinear Analysis of Beams, Plates and Shells, Wiley & Sons, Singapore.
|
10 |
Shen, H.S. (2011), "A novel technique for nonlinear analysis of beams on two-parameter elastic foundations", Int. J. Struct. Stab. Dyn. 11(6), 999-1014. https://doi.org/10.1142/S0219455411004440
DOI
|
11 |
Shen, H.S. and Wang, H. (2014b), "Nonlinear vibration of shear deformable FGM cylindrical panels resting on elastic foundation in thermal environment", Compos. Part B, 60, 167-177. https://doi.org/10.1016/j.compositesb.2013.12.051
DOI
|
12 |
Babaei, H., Kiani, Y. and Eslami, M.R. (2019d), "Large amplitude free vibration analysis of shear deformable FGM shallow arches on nonlinear elastic foundation", Thin-wall. Struct., 144, 106237. https://doi.org/10.1016/j.tws.2019.106237
DOI
|
13 |
Babaei, H., Kiani, Y. and Eslami, M.R. (2018b), "Geometrically nonlinear analysis of shear deformable FGM shallow pinned arches on nonlinear elastic foundation under mechanical and thermal loads", Acta Mech., 229(7), 3123-3141. https://doi.org/10.1007/s00707-018-2134-2
DOI
|
14 |
Babaei, H., Kiani, Y. and Eslami, M.R. (2018c), "Geometrically nonlinear analysis of functionally graded shallow curved tubes in thermal environment", Thin-wall. Struct., 132, 48-57. https://doi.org/10.1016/j.tws.2018.08.008
DOI
|
15 |
Babaei, H., Kiani, Y. and Eslami, M.R. (2019a), "Thermal buckling and post-buckling analysis of geometrically imperfect FGM clamped tubes on nonlinear elastic foundation", Appl. Math. Model., 71, 12-30. https://doi.org/10.1016/j.apm.2019.02.009
DOI
|
16 |
Babaei, H., Kiani, Y. and Eslami, M.R. (2019b), "Buckling and post-buckling analysis of geometrically imperfect FGM pin-ended tubes surrounded by nonlinear elastic medium under compressive and thermal loads", Int. J. Struct. Stabil. Dyn., 19(7), 1950089. https://doi.org/10.1142/S0219455419500895
DOI
|
17 |
Babaei, H., Kiani, Y. and Eslami, M.R. (2019c), "Large amplitude free vibrations of long FGM cylindrical panels on nonlinear elastic foundation based on physical neutral surface", Compos. Struct., 220, 888-898. https://doi.org/10.1016/j.compstruct.2019.03.064
DOI
|
18 |
Babaei, H., Kiani, Y. and Eslami, M.R. (2019e), "Thermally induced large deflection analysis of shear deformable FGM shallow curved tubes using perturbation method", ZAMM- J. App. Math. Mech., 99(2), Article No. e201800148. https://doi.org/10.1002/zamm.201800148
|
19 |
Tornabene, F., Fantuzzi, N. and Bacciocchi, M. (2019), "Refined shear deformation theories for laminated composite arches and beams with variable thickness: Natural frequency analysis", Engin. Anal. Boundary Elem., 100, 24-47. https://doi.org/10.1016/j.enganabound.2017.07.029
DOI
|
20 |
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(1), 57-66. https://doi.org/10.1016/j.ijmecsci.2012.05.014
DOI
|
21 |
Wu, C.P. and Li, H.Y. (2012), "Exact solutions of free vibration of rotating multilayered fgm cylinders", Smart Struct. Syst., Int. J., 9(2), 105-125. https://doi.org/10.12989/sss.2012.9.2.105
DOI
|
22 |
Wu, C.P. and Liu, W.L. (2013), "3D buckling analysis of FGM sandwich plates under bi-axial compressive loads", Smart Struct. Syst., Int. J., 13(1), 111-135. https://doi.org/10.12989/sss.2014.13.1.111
|
23 |
Zhang, D.G. (2014), "Thermal post-buckling and nonlinear vibration analysis of FGM beams based on physical neutral surface and high order shear deformation theory", Meccanica, 49(2), 283-293. https://doi.org/10.1007/s11012-013-9793-9
DOI
|
24 |
Zhang, P. and Fu, Y. (2013), "A higher-order beam model for tubes", Eur. J. Mech. A/Solids, 38, 12-19. https://doi.org/10.1016/j.euromechsol.2012.09.009
DOI
|
25 |
Zhong, J., Fu, Y., Wan, D. and Li, Y. (2016), "Nonlinear bending and vibration of functionally graded tubes resting on elastic foundations in thermal environment based on a refined beam model", Appl. Math. Model., 40(17-18), 7601-7614. https://doi.org/10.1016/j.apm.2016.03.031
DOI
|
26 |
Shen, H.S. and Wang, Z.X. (2014a), "Nonlinear Analysis of shear deformable FGM beams resting on elastic foundations in thermal environments", Int. J. Mech. Sci., 81, 195-206. https://doi.org/10.1016/j.ijmecsci.2014.02.020
DOI
|
27 |
Duc, N.D. (2013), "Nonlinear dynamic response of imperfect eccentrically stiffened FGM double curved shallow shells on elastic foundation", Compos. Struct., 102, 306-314. https://doi.org/10.1016/j.compstruct.2012.11.017
DOI
|
28 |
Babaei, H., Kiani, Y. and Eslami, M.R. (2019f), "Thermomechanical nonlinear In-plane analysis of fix-ended FGM shallow arches on nonlinear elastic foundation using twostep perturbation technique", Int. J. Mech. Mater. Des., 15(2), 225-244. https://doi.org/10.1007/s10999-018-9420-y
DOI
|
29 |
Chen, Y.Z. (2018), "Transfer matrix method for solution of FGMs thick-walled cylinder with arbitrary inhomogeneous elastic response", Smart Struct. Syst., Int. J., 21(4), 469-477. https://doi.org/10.12989/sss.2018.21.4.469
|
30 |
Chen, Y., Fu, Y., Zhong, J. and Li, Y. (2017), "Nonlinear dynamic responses of functionally graded tubes subjected to moving load based on a refined beam model", Nonlinear Dyn., 88(2), 1441-1452. https://doi.org/10.1007/s11071-016-3321-0
DOI
|
31 |
Duc, N.D. (2016), "Nonlinear thermal dynamic analysis of eccentrically stiffened S-FGM circular cylindrical shells surrounded on elastic foundations using the Reddy's third-order shear deformation shell theory", Eur. J. Mech. A-Solid, 58, 10-30. https://doi.org/10.1016/j.euromechsol.2016.01.004
DOI
|
32 |
Duc, N.D. (2018), "Nonlinear thermo-electro-mechanical dynamic response of shear deformable piezoelectric Sigmoid functionally graded sandwich circular cylindrical shells on elastic foundations", J. Sandw. Struct. Mater., 20(3), 351-378. https://doi.org/10.1177/1099636216653266
DOI
|
33 |
Duc, N.D. and Cong, P.H. (2018), "Nonlinear dynamic response and vibration of sandwich composite plates with negative Poisson's ratio in auxetic honeycombs", J. Sandw. Struct. Mater., 20(6), 692-717. https://doi.org/10.1177/1099636216674729
DOI
|
34 |
Fariborz, J. and Batra, R.C. (2019), "Free vibration of bi-directional functionally graded material circular beam using shear deformation theory employing logarithmic function of radius", Compos. Struct., 210, 217-230. https://doi.org/10.1016/j.compstruct.2018.11.036
DOI
|
35 |
Duc, N.D., Bich, D.H. and Cong, P.H. (2016), "Nonlinear thermal dynamic response of shear deformable FGM plates on elastic foundations", J. Therm, Stresses, 39(3), 278-297. https://doi.org/10.1080/01495739.2015.1125194
DOI
|
36 |
Duc, N.D., Nguyen, P.D. and Khoa N.D. (2017), "Nonlinear dynamic analysis and vibration of eccentrically stiffened S-FGM elliptical cylindrical shells surrounded on elastic foundations in thermal environments", Thin Wall. Struct., 117, 178-189. https://doi.org/10.1016/j.tws.2017.04.013
DOI
|
37 |
Duc, N.D., Quang, V.D., Nguyen, P.D. and Chien T.M. (2018), "Nonlinear dynamic response of FGM porous plates on elastic foundation subjected to thermal and mechanical loads using the first order shear deformation theory", J. Appl. Computat. Mech., 4(4), 245-259. https://doi.org/10.22055/jacm.2018.23219.1151
|
38 |
Duc, N.D., Hadavinia, H., Quan, T.Q. and Khoa, N.D. (2019), "Free vibration and nonlinear dynamic response of imperfect nanocomposite FG-CNTRC double curved shallow shells in thermal environment", Eur. J. Mech. A-Solid, 75, 355-366. https://doi.org/10.1016/j.euromechsol.2019.01.024
DOI
|
39 |
Eslami, M.R. (2018), Buckling and Postbuckling of Beams, Plates, and Shells, Springer, Switzerland.
|
40 |
Fu, Y., Zhong, J., Shao, X. and Chen, Y. (2015), "Thermal postbuckling analysis of functionally graded tubes based on a refined beam model", Int. J. Mech. Sci., 96-97, 58-64. https://doi.org/10.1016/j.ijmecsci.2015.03.019
DOI
|
41 |
Keibolahi, A., Kiani, Y. and Eslami, M.R. (2018), "Dynamic snap-through of shallow arches under thermal shock", Aerosp. Sci. Tech., 77, 545-554. https://doi.org/10.1016/j.ast.2018.04.003
DOI
|
42 |
Hetnarski, R.B. and Eslami, M.R. (2019), Thermal Stresses, Advanced Theory and Applications, (2th Edition), Springer, Switzerland.
|
43 |
Hosseini, S.A.H. and Rahmani, O. (2016), "Free vibration of shallow and deep curved FG nanobeam via nonlocal Timoshenko curved beam model", Appl. Phy. A, 122, 169-178. https://doi.org/10.1007/s00339-016-9696-4
DOI
|
44 |
Huang, Y. and Li, X.F. (2010a), "Buckling of functionally graded circular columns including shear deformation", Mater. Des., 31(7), 3159-3166. https://doi.org/10.1016/j.matdes.2010.02.032
DOI
|
45 |
Huang, Y. and Li, X.F. (2010b), "Bending and vibration of circular cylindrical beams with arbitrary radial nonhomogeneity", Int. J. Mech. Sci., 52(4), 595-601. https://doi.org/10.1016/j.ijmecsci.2009.12.008
DOI
|
46 |
Jun, L., Guangwei, R., Jin, P., Xiaobin, L. and Weiguo, W. (2014), "Free vibration analysis of a laminated shallow curved beam based on Trigonometric shear deformation theory", Mech. Based Des. Struct., 42(1), 111-129. https://doi.org/10.1080/15397734.2013.846224
DOI
|
47 |
Malekzadeh, P., Atashi, M.M. and Karami, G. (2009), "In-plane free vibration of functionally graded circular arches with temperature-dependent properties under thermal environment", J. Sound. Vib., 326(3-5), 837-851. https://doi.org/10.1016/j.jsv.2009.05.016
DOI
|
48 |
Malekzadeh, P., Golbahar Haghighi, M.R. and Atashi, M.M. (2010), "Out-of-plane free vibration of functionally graded circular curved beams in thermal environment", Compos. Struct., 92(2), 541-552. https://doi.org/10.1016/j.compstruct.2009.08.040
DOI
|
49 |
Piovan, M.T., Domini, S. and Ramirez, J.M. (2012), "In-plane and out-of-plane dynamics and buckling of functionally graded circular curved beams", Compos. Struct., 94(11), 3194-3206. https://doi.org/10.1016/j.compstruct.2012.04.032
DOI
|
50 |
Rahmani, O., Hosseini, S.A.H., Ghoytasi, I. and Golmohammadi, H. (2018), "Free vibration of deep curved FG nano-beam based on modified couple stress theory", Steel Compos. Struct., Int. J., 26(5), 607-620. https://doi.org/10.12989/scs.2018.26.5.607
|