References
- Akbas, S.D. (2015c), "Large deflection analysis of edge cracked simple supported beams", Struct. Eng. Mech., 54(3), 433-451. https://doi.org/10.12989/sem.2015.54.3.433
- Akbas, S.D. (2013), "Geometrically nonlinear static analysis of edge cracked Timoshenko beams composed of functionally graded material", Math. Prob. Eng., 2013, Article ID 871815, 14.
- Akbas, S.D. (2014), "Large post-buckling behavior of Timoshenko beams under axial compression loads", Struct. Eng. Mech., 51(6), 955-971. https://doi.org/10.12989/sem.2014.51.6.955
- Akbas, S.D. (2015a), "On post-buckling behavior of edge cracked functionally graded beams under axial loads", Int. J. Struct. Stab. Dyn., 15(4), 1450065. https://doi.org/10.1142/S0219455414500655
- Akbas, S.D. (2015b), "Post-buckling analysis of axially functionally graded three dimensional beams", Int. J. Appl. Mech., 7(3), 1550047. https://doi.org/10.1142/S1758825115500477
- Akbas, S.D. (2017), "Post-buckling responses of functionally graded beams with porosities", Steel Compos. Struct., 24(5), 579-589. https://doi.org/10.12989/SCS.2017.24.5.579
- Akbas, S.D. (2018a), "Post-buckling responses of a laminated composite beam", Steel Compos. Struct., 26(6), 733-743. https://doi.org/10.12989/SCS.2018.26.6.733
- Akbas, S.D. (2018b) "Geometrically nonlinear analysis of a laminated composite beam", Struct. Eng. Mech., 66(1), 27-36. https://doi.org/10.12989/SEM.2018.66.1.027
- Akbas, S.D. (2018c), "Large deflection analysis of a fiber reinforced composite beam", Steel Compos. Struct., 27(5), 567- 5763. https://doi.org/10.12989/SCS.2018.27.5.567
- Akbas, S.D. and Kocaturk, T. (2012), "Post-buckling analysis of Timoshenko beams with temperature-dependent physical properties under uniform thermal loading", Struct. Eng. Mech., 44(1), 109-125. https://doi.org/10.12989/sem.2012.44.1.109
- Akgoz, B. and Civalek, O. (2011), "Nonlinear vibration analysis of laminated plates resting on nonlinear two-parameters elastic foundations", Steel Compos. Struct., 11(5), 403-421. https://doi.org/10.12989/scs.2011.11.5.403
- Asadi, H. and Aghdam, M.M. (2014), "Large amplitude vibration and post-buckling analysis of variable cross-section composite beams on nonlinear elastic foundation", Int. J. Mech. Sci., 79, 47-55. https://doi.org/10.1016/j.ijmecsci.2013.11.017
- Baghani, M., Jafari-Talookolaei, R.A. and Salarieh, H. (2011), "Large amplitudes free vibrations and post-buckling analysis of unsymmetrically laminated composite beams on nonlinear elastic foundation", Appl. Math. Model., 35(1), 130-138. https://doi.org/10.1016/j.apm.2010.05.012
- Benselama, K., El Meiche, N., Bedia, E.A.A. and Tounsi, A. (2015), "Buckling analysis in hybrid cross-ply composite laminates on elastic foundation using the two variable refined plate theory", Struct. Eng. Mech., 55(1), 47-64. https://doi.org/10.12989/sem.2015.55.1.047
- Cardoso, J.B., Benedito, N.M. and Valido, A.J. (2009), "Finite element analysis of thin-walled composite laminated beams with geometrically nonlinear behavior including warping deformation", Thin Wall. Struct., 47(11), 1363-1372. https://doi.org/10.1016/j.tws.2009.03.002
- Chang, X.P., Zhang, X.D. and Liu, Q.Y. (2011), "Geometrically nonlinear analysis of cross-ply laminated composite beams subjected to uniform temperature rise", Adv. Mater. Res., 335, 527-530.
- Civalek, O. (2013), "Nonlinear dynamic response of laminated plates resting on nonlinear elastic foundations by the discrete singular convolution-differential quadrature coupled approaches", Compos. Part B: Eng., 50, 171-179. https://doi.org/10.1016/j.compositesb.2013.01.027
- Cunedioglu, Y. and Beylergil, B. (2014), "Free vibration analysis of laminated composite beam under room and high temperatures", Struct. Eng. Mech., 51(1), 111-130. https://doi.org/10.12989/sem.2014.51.1.111
- Di Sciuva, M. and Icardi, U. (1995), "Large deflection of adaptive multilayered Timoshenko beams", Compos. Struct., 31(1), 49-60. https://doi.org/10.1016/0263-8223(95)00001-1
- Donthireddy, P. and Chandrashekhara, K. (1997), "Nonlinear thermomechanical analysis of laminated composite beams", Adv. Compos. Mater., 6(2), 153-166. https://doi.org/10.1163/156855197X00049
- Ebrahimi, F. and Barati, M.R. (2016a), "Dynamic modeling of a thermo-piezo-electrically actuated nanosize beam subjected to a magnetic field", Appl. Phys. A, 122(4), 1-18.
- Ebrahimi, F. and Barati, M.R. (2016b), "Vibration analysis of smart piezoelectrically actuated nanobeams subjected to magneto-electrical field in thermal environment", J. Vib. Control, 24(3), 549-564.
- Ebrahimi, F. and Barati, M.R. (2016c), "Small scale effects on hygro-thermo-mechanical vibration of temperature dependent nonhomogeneous nanoscale beams", Mech. Adv. Mater. Struct., 24(11), 924-936.
- Ebrahimi, F. and Barati, M.R. (2016d), "Electromechanical buckling behavior of smart piezoelectrically actuated higher-order size-dependent graded nanoscale beams in thermal environment", Int. J. Smart Nano Mater., 7(2), 69-90. https://doi.org/10.1080/19475411.2016.1191556
- Ebrahimi, F. and Barati, M.R. (2016e), "A nonlocal higher-order shear deformation beam theory for vibr ation analysis of sizedependent functionally graded nanobeams", Arab. J. Sci. Eng., 41(5), 1679-1690. https://doi.org/10.1007/s13369-015-1930-4
- Ebrahimi, F. and Barati, M.R. (2016f), "Magnetic field effects on buckling behavior of smart size-dependent graded nanoscale beams", Eur. Phys. J. Plus, 131(7), 238. https://doi.org/10.1140/epjp/i2016-16238-8
- Ebrahimi, F. and Barati, M.R. (2016g), "An exact solution for buckling analysis of embedded piezo-electro-magnetically actuated nanoscale beams", Adv. Nano Res., 4(2), 65-84. https://doi.org/10.12989/anr.2016.4.2.065
- Ebrahimi, F. and Barati, M.R. (2017a), "Buckling analysis of smart size-dependent higher order Magneto-Electro-Thermoelastic functionally graded nanosize beams", J. Mech., 33(1), 23-33. https://doi.org/10.1017/jmech.2016.46
- Ebrahimi, F. and Barati, M.R. (2017b), "Buckling analysis of nonlocal third-order shear deformable functionally graded piezoelectric nanobeams embedded in elastic medium", J. Brazil. Soc. Mech. Sci. Eng., 39(3), 937-952. https://doi.org/10.1007/s40430-016-0551-5
- Ebrahimi, F. and Farazmandnia, N. (2016), "Thermo-mechanical vibration analysis of sandwich beams with functionally graded carbon nanotube-reinforced composite face sheets based on a higher-order shear deformation beam theory", Mech. Adv. Mater. Struct., 24(10), 820-829.
- Ebrahimi, F. and Farazmandnia, N. (2017), "Thermo-mechanical vibration analysis of sandwich beams with functionally graded carbon nanotube-reinforced composite face sheets based on a higher-order shear deformation beam theory", Mech. Adv. Mater. Struct., 24(10), 1-37. https://doi.org/10.1080/15376494.2015.1091526
- Ebrahimi, F. and Hosseini, S.A.H. (2016), "Thermal effects on nonlinear vibration behavior of viscoelastic nanosize plates", J. Therm. Stress., 39(5), 606-625. https://doi.org/10.1080/01495739.2016.1160684
- Ebrahimi, F. and Hosseini, S.H.S. (2017), "Surface effects on nonlinear dynamics of NEMS consisting of double-layered viscoelastic nanoplates", Eur. Phys. J. Plus, 132(4), 172. https://doi.org/10.1140/epjp/i2017-11400-6
- Ebrahimi, F. and Jafari, A. (2016), "A higher-order thermomechanical vibration analysis of temperature-dependent FGM beams with porosities", J. Eng., 2016, Article ID 9561504, 20.
- Ebrahimi, F. and Salari, E. (2015a), "Effect of various thermal loadings on buckling and vibrational characteris tics of nonlocal temperature-dependent FG nanobeams", Mech. Adv. Mater. Struct., 23(12), 1-58.
- Ebrahimi, F. and Salari, E. (2015b), "Size-dependent thermoelectrical buckling analysis of functionally graded piezoelectric nanobeams", Smart Mater. Struct., 24(12), 125007. https://doi.org/10.1088/0964-1726/24/12/125007
- Ebrahimi, F. and Salari, E. (2015c), "Thermal buckling and free vibration analysis of size dependent Timoshenko FG nanobeams in thermal environments", Compos. Struct., 128, 363-380. https://doi.org/10.1016/j.compstruct.2015.03.023
- Ebrahimi, F. and Salari, E. (2016a), "Effect of various thermal loadings on buckling and vibrational characteristics of nonlocal temperature-dependent FG nanobeams", Mech. Adv. Mater. Struct., 23(12), 1379-1397. https://doi.org/10.1080/15376494.2015.1091524
- Ebrahimi, F. and Salari, E. (2016b), "Size-dependent thermo-electrical buckling analysis of functionally graded piezoelectric nanobeams", Smart Mater. Struct., 24(12), 125007. https://doi.org/10.1088/0964-1726/24/12/125007
- Ebrahimi, F. and Shafiei, N. (2016), "Influence of initial shear stress on the vibration behavior of single-layered graphene sheets embedded in an elastic medium based on Reddy's higher-order shear deformation plate theory", Mech. Adv. Mater. Struct., 24(9), 761-772.
- Ebrahimi, F., Salari, E. and Hosseini, S.A.H. (2015), "Thermomechanical vibration behavior of FG nanobeams subjected to linear and nonlinear temperature distributions", J. Therm. Stress., 38(12), 1360-1386. https://doi.org/10.1080/01495739.2015.1073980
- Emam, S.A. and Nayfeh, A.H. (2009), "Postbuckling and free vibrations of composite beams", Compos. Struct., 88(4), 636-642. https://doi.org/10.1016/j.compstruct.2008.06.006
- Felippa, C.A. (2018), "Notes on nonlinear finite element methods", url:http://www.colorado.edu/engineering/cas/courses.d/NFEM.d/NFEM.Ch11.d/NFEM.Ch11.pdf.
- Fraternali, F. and Bilotti, G. (1997), "Nonlinear elastic stress analysis in curved composite beams", Comput. Struct., 62(5), 837-859. https://doi.org/10.1016/S0045-7949(96)00301-X
- Ganapathi, M., Patel, B.P., Saravanan, J. and Touratier, M. (1998), "Application of spline element for large-amplitude free vibrations of laminated orthotropic straight/curved beams", Compos. Part B: Eng., 29(1), 1-8. https://doi.org/10.1016/S1359-8368(97)00025-5
- Ghazavi, A. and Gordaninejad, F. (1989), "Nonlinear bending of thick beams laminated from bimodular composite materials", Compos. Sci. Technol., 36(4), 289-298. https://doi.org/10.1016/0266-3538(89)90043-2
- Gunda, J.B. and Rao, G.V. (2013), "Post-buckling analysis of composite beams: A simple intuitive formulation", Sadhana, 38(3), 447-459. https://doi.org/10.1007/s12046-013-0144-2
- Gupta, R.K., Gunda, J.B., Janardhan, G.R. and Rao, G.V. (2010), "Post-buckling analysis of composite beams: simple and accurate closed-form expressions", Compos. Strnct., 92(8), 1947-1956. https://doi.org/10.1016/j.compstruct.2009.12.010
- Jafari-Talookolaei, R.A., Salarieh, H. and Kargarnovin, M.H. (2011), "Analysis of large amplitude free vibrations of unsymmetrically laminated composite beams on a nonlinear elastic foundation", Acta Mechanica, 219(1), 65-75. https://doi.org/10.1007/s00707-010-0439-x
- Kocaturk, T. and Akbas, S.D. (2010), "Geometrically non-linear static analysis of a simply supported beam made of hyperelastic material", Struct. Eng. Mech., 35(6), 677-697. https://doi.org/10.12989/sem.2010.35.6.677
- Kocaturk, T. and Akbas, S.D. (2011), "Post-buckling analysis of Timoshenko beams with various boundary conditions under non-uniform thermal loading", Struct. Eng. Mech., 40(3), 347-371. https://doi.org/10.12989/sem.2011.40.3.347
- Kocaturk, T. and Akbas, S.D. (2012), "Post-buckling analysis of Timoshenko beams made of functionally graded material under thermal loading", Struct. Eng. Mech., 41(6), 775-789. https://doi.org/10.12989/sem.2012.41.6.775
- Kocaturk, T. and Akbas, S.D. (2013), "Thermal post-buckling analysis of functionally graded beams with temperature-dependent physical properties", Steel Compos. Struct., 15(5), 481-505. https://doi.org/10.12989/scs.2013.15.5.481
- Kurtaran, H. (2015), "Geometrically nonlinear transient analysis of thick deep composite curved beams with generalized differential quadrature method", Compos. Struct., 128, 241-250. https://doi.org/10.1016/j.compstruct.2015.03.060
- Latifi, M., Kharazi, M. and Ovesy, H.R. (2016), "Nonlinear dynamic response of symmetric laminated composite beams under combined in-plane and lateral loadings using full layerwise theory", Thin Wall. Struct., 104, 62-70. https://doi.org/10.1016/j.tws.2016.03.006
- Li, Z.M. and Qiao, P. (2015a), "Buckling and postbuckling behavior of shear deformable anisotropic laminated beams with initial geometric imperfections subjected to axial compression", Eng. Struct., 85, 277-292. https://doi.org/10.1016/j.engstruct.2014.12.028
- Li, Z.M. and Qiao, P. (2015b), "Thermal postbuckling analysis of anisotropic laminated beams with different boundary conditions resting on two-parameter elastic foundations", Eur. J. Mech. A/Solid., 54, 30-43. https://doi.org/10.1016/j.euromechsol.2015.06.001
- Li, Z.M. and Yang, D.Q. (2016), "Thermal postbuckling analysis of anisotropic laminated beams with tubular cross-section based on higher-order theory", Ocean Eng., 115, 93-106. https://doi.org/10.1016/j.oceaneng.2016.02.017
- Liu, Y. and Shu, D.W. (2015), "Effects of edge crack on the vibration characteristics of delaminated beams", Struct. Eng. Mech., 53(4), 767-780. https://doi.org/10.12989/sem.2015.53.4.767
- Loja, M.A.R., Barbosa, J.I. and Soares, C.M.M. (2001), "Static and dynamic behaviour of laminated composite beams", Int. J. Struct. Stab. Dyn., 1(4), 545-560. https://doi.org/10.1142/S0219455401000354
- Machado, S.P. (2007), "Geometrically non-linear approximations on stability and free vibration of composite beams", Eng. Struct., 29(12), 3567-3578. https://doi.org/10.1016/j.engstruct.2007.08.009
- Malekzadeh, P. and Vosoughi, A.R. (2009), "DQM large amplitude vibration of composite beams on nonlinear elastic foundations with restrained edges", Commun. Nonlin. Sci. Numer. Simul., 14(3), 906-915. https://doi.org/10.1016/j.cnsns.2007.10.014
- Mareishi, S., Rafiee, M., He, X.Q. and Liew, K.M. (2014), "Nonlinear free vibration, postbuckling and nonlinear static deflection of piezoelectric fiber-reinforced laminated composite beams", Compos. Part B: Eng., 59, 123-132. https://doi.org/10.1016/j.compositesb.2013.11.017
- Moro개, L.A.T., Melo, A.M.C.D. and Parente, Jr. E. (2015), "Geometrically nonlinear analysis of thin-walled laminated composite beams", Lat. Am. J. Solid. Struct., 12(11), 2094-2117. https://doi.org/10.1590/1679-78251782
- Oh, I.K., Han, J.H. and Lee, I. (2000), "Postbuckling and vibration characteristics of piezolaminated composite plate subject to thermo-piezoelectric loads", J. Sound Vib., 233(1), 19-40. https://doi.org/10.1006/jsvi.1999.2788
- Oliveira, B.F. and Creus, G.J. (2003), "Nonlinear viscoelastic analysis of thin-walled beams in composite material", Thin Wall. Struct., 41(10), 957-971. https://doi.org/10.1016/S0263-8231(03)00042-9
- Pagani, A. and Carrera, E. (2017), "Large-deflection and postbuckling analyses of laminated composite beams by Carrera Unified Formulation", Compos. Struct., 170, 40-52. https://doi.org/10.1016/j.compstruct.2017.03.008
- Pai, P.F. and Nayfeh, A.H. (1992), "A nonlinear composite beam theory", Nonlin. Dyn., 3(4), 273-303. https://doi.org/10.1007/BF00045486
- Patel, B.P., Ganapathi, M. and Touratier, M. (1999), "Nonlinear free flexural vibrations/post-buckling analysis of laminated orthotropic beams/columns on a two parameter elastic foundation", Compos. Struct., 46(2), 189-196. https://doi.org/10.1016/S0263-8223(99)00054-9
- Patel, S.N. (2014), "Nonlinear bending analysis of laminated composite stiffened plates", Steel Compos. Struct., 17(6), 867-890. https://doi.org/10.12989/scs.2014.17.6.867
- Sheinman, I. and Adan, M. (1987), "The effect of shear deformation on post-buckling behavior of laminated beams", J. Appl. Mech., 54(3), 558-562. https://doi.org/10.1115/1.3173069
- Shen, H.S. (2001), "Thermal postbuckling behavior of imperfect shear deformable laminated plates with temperature-dependent properties", Comput. Meth. Appl. Mech. Eng., 190, 5377-5390. https://doi.org/10.1016/S0045-7825(01)00172-4
- Shen, H.S., Chen, X. and Huang, X.L. (2016), "Nonlinear bending and thermal postbuckling of functionally graded fiber reinforced composite laminated beams with piezoelectric fiber reinforced composite actuators", Compos. Part B: Eng., 90, 326-335. https://doi.org/10.1016/j.compositesb.2015.12.030
- Shen, H.S., Lin, F. and Xiang Y. (2017), "Nonlinear bending and thermal postbuckling of functionally graded graphene-reinforced composite laminated beams resting on elastic foundations", Eng. Struct., 140, 89-97. https://doi.org/10.1016/j.engstruct.2017.02.069
- Singh, G., Rao, G.V. and Iyengar, N.G.R. (1992), "Nonlinear bending of thin and thick unsymmetrically laminated composite beams using refined finite element model", Comput. Struct., 42(4), 471-479. https://doi.org/10.1016/0045-7949(92)90114-F
- Stoykov, S. and Margenov, S. (2014), "Nonlinear vibrations of 3D laminated composite beams", Math. Prob. Eng., 2014, Article ID 892782, 14.
- Topal, U. (2017), "Buckling load optimization of laminated composite stepped columns", Struct. Eng. Mech., 62(1), 107-111. https://doi.org/10.12989/sem.2017.62.1.107
- Valido, A.J. and Cardoso, J.B. (2003), "Geometrically nonlinear composite beam structures: design sensitivity analysis", Eng. Optim., 35(5), 531-551. https://doi.org/10.1080/03052150310001604784
- Vinson, J.R. and Sierakowski, R.L. (2002), The Behavior of Structures Composed of Composite Materials, Kluwer Academic Publishers, Netherlands.
- Wang, X., Lu, G. and Xiao, D.O. (2002), "Non-linear thermal buckling for local delamination near the surface of laminated cylindrical shell", Int. J. Mech. Sci., 44(5), 947-965. https://doi.org/10.1016/S0020-7403(02)00028-0
- Youzera, H., Meftah, S.A., Challamel, N. and Tounsi, A. (2012), "Nonlinear damping and forced vibration analysis of laminated composite beams", Compos. Part B: Eng., 43(3), 1147-1154. https://doi.org/10.1016/j.compositesb.2012.01.008
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