참고문헌
- Abdulrazzaq, M.A. Kadhim, Z.D., Faleh, N.M. and Moustafa, N.M. (2020a), "A numerical method for dynamic characteristics of nonlocal porous metal-ceramic plates under periodic dynamic loads", Struct. Monitor. Maint., 7(1), 27-42. https://doi.org/10.12989/smm.2020.7.1.027
- Abdulrazzaq, M.A., Fenjan, R.M., Ahmed, R.A. and Faleh, N.M. (2020b), "Thermal buckling of nonlocal clamped exponentially graded plate according to a secant function based refined theory", Steel Compos. Struct., Int. J., 35(1), 147-157. https://doi.org/10.12989/scs.2020.35.1.147
- Abrate, S. (2008), "Functionally graded plates behave like homogeneous plates", Compos. Part B, 39(1), 151-158. https://doi.org/10.1016/j.compositesb.2007.02.026
- Akavci, S.S. (2016), "Mechanical behavior of functionally graded sandwich plates on elastic foundation", Compos. Part B-Eng., 96, 136-152. https://doi.org/10.1016/j.compositesb.2016.04.035
- Akbas, S.D. (2015), "Wave propagation of a functionally graded beam in thermal environments", Steel Compos. Struct., Int. J., 19(6), 1421-1447. https://doi.org/10.12989/scs.2015.19.6.1421
- Akgoz, B. and Civalek, O. (2013), "Buckling analysis of functionally graded microbeams based on the strain gradient theory", Acta Mechanica, 224(9), 2185-2201. https://doi.org/10.1007/s00707-013-0883-5
- Arefi, M. (2015a), "Elastic solution of a curved beam made of functionally graded materials with different cross sections", Steel Compos. Struct., Int. J., 18(3), 659-672. https://doi.org/10.12989/scs.2015.18.3.659
- Arefi, M. (2015b), "Nonlinear electromechanical analysis of a functionally graded square plate integrated with smart layers resting on Winkler-Pasternak foundation", Smart Struct. Syst., Int. J., 16(1), 195-211. https://doi.org/10.12989/sss.2015.16.1.195
- Attia, M.A. (2017), "On the mechanics of functionally graded nanobeams with the account of surface elasticity", Int. J. Eng. Sci., 115, 73-101. https://doi.org/10.1016/j.ijengsci.2017.03.011
- Avcar, M. (2019), "Free vibration of imperfect sigmoid and power law functionally graded beams", Steel Compos. Struct., Int. J., 30(6), 603-615. https://doi.org/10.12989/scs.2019.30.6.603
- Boulal, A., Bensattalah, T., Karas, A., Zidour, M., Heireche, H. and Adda Bedia, E.A. (2020), "Buckling of carbon nanotube reinforced composite plates supported by Kerr foundation using Hamilton's energy principle", Struct. Eng. Mech., Int. J., 73(2), 209-223. https://doi.org/10.12989/sem.2020.73.2.209
- Cao, Y., Musharavati, F., Baharom, S., Talebizadehsardari, P., Sebaey, T.A., Eyvazian, A. and Zain, A.M. (2020), "Vibration response of FG-CNT-reinforced plates covered by magnetic layer utilizing numerical solution", Steel Compos. Struct., Int. J., 37(2), 253-258. https://doi.org/10.12989/scs.2020.37.2.253
- Celebi, K., Yarimpabuc, D. and Keles, I. (2016), "A unified method for stresses in FGM sphere with exponentially-varying properties", Struct. Eng. Mech., Int. J., 57(5), 823-835. https://doi.org/10.12989/sem.2016.57.5.823
- Chami, K, Messafer, T. and Hadji, L. (2020), "Analytical modeling of bending and free vibration of thick advanced composite beams resting on Winkler-Pasternak elastic foundation", Earthq. Struct., Int. J., 19(2), 91-101. https://doi.org/10.12989/eas.2020.19.2.091
- Chen, D., Yang, J. and Kitipornchai, S. (2015), "Elastic buckling and static bending of shear deformable functionally graded porous beam", Compos. Struct., 133, 54-61. https://doi.org/10.1016/j.compstruct.2015.07.052
- Chikh, A. (2019), "Free Vibration Analysis of Simply Supported P-FGM Nanoplate Using a Nonlocal Four Variables Shear Deformation Plate Theory", Strojnicky casopis-J. Mech. Eng., 69(4), 9-24. https://doi.org/10.2478/scjme-2019-0039
- Chikh, A. (2020), "Investigations in static response and free vibration of a functionally graded beam resting on elastic foundations", Frattura ed Integrita Strutturale., 14(51), 115-126. https://doi.org/10.3221/IGF-ESIS.51.09
- Cuong-Le, T., Nguyen, K.D., Nguyen-Trong, N., Khatir, S., Nguyen-Xuan, H. and Abdel-Wahab, M. (2020), "A three-dimensional solution for free vibration and buckling of annular plate, conical, cylinder and cylindrical shell of FG porous-cellular materials using IGA", Composite Structures, 113216. https://doi.org/10.1016/j.compstruct.2020.113216
- Darabi, A. and Vosoughi, A.R. (2016), "Hybrid inverse method for small scale parameter estimation of FG nanobeams", Steel Compos. Struct., Int. J., 20(5), 1119-1131. https://doi.org/10.12989/scs.2016.20.5.1119
- Daraei, B., Shojaee, S. and Hamzehei-Javaran, S. (2020), "Free vibration analysis of axially moving laminated beams with axial tension based on 1D refined theories using Carrera unified formulation", Steel Compos. Struct., Int. J., 37(1), 37-49. https://doi.org/10.12989/scs.2020.37.1.037
- Ebrahimi, F. and Barati, M.R. (2016), "Thermal buckling analysis of size-dependent FG nanobeams based on the third-order shear deformation beam theory", Acta Mechanica Solida Sinica., 29(5), 547-554. https://doi.org/10.1016/s0894-9166(16)30272-5
- Ebrahimi, F. and Shafiei, N. (2016), "Application of Eringen's nonlocal elasticity theory for vibration analysis of rotating functionally graded nanobeams", Smart Struct. Syst., Int. J., 17(5), 837-857. https://doi.org/10.12989/sss.2016.17.5.837
- Ebrahimi, F., Salari, E. and Hosseini, S.A.H. (2015), "Thermomechanical vibration behavior of FG nanobeams subjected to linear and non-linear temperature distributions", J. Thermal Stress., 38(12), 1360-1386. https://doi.org/10.1080/01495739.2015.1073980
- Ebrahimi, F., Ghasemi, F. and Salari, E. (2016), "Investigating thermal effects on vibration behavior of temperature-dependent compositionally graded Euler beams with porosities", Meccanica, 51(1), 223-249. https://doi.org/10.1007/s11012-015-0208-y
- Eltaher, M.A., Khairy, A., Sadoun, A.M. and Omar, F.A. (2014), "Static and buckling analysis of functionally graded Timoshenko nanobeams", Appl. Math. Comput., 229, 283-295. https://doi.org/10.1016/j.amc.2013.12.072
- Fallah, A. and Aghdam, M.M. (2012), "Thermo-mechanical buckling and nonlinear free vibration analysis of functionally graded beams on nonlinear elastic foundation", Compos. Part B: Eng., 43(3), 1523-1530. https://doi.org/10.1016/j.compositesb.2011.08.041
- Farokhian, A. and Salmani-Tehrani, M. (2020), "Surface and small scale effects on the dynamic buckling of carbon nanotubes with smart layers assuming structural damping", Steel Compos. Struct., Int. J., 37(2), 229-251. https://doi.org/10.12989/scs.2020.37.2.229
- Feldman, E. and Aboudi, J. (1997), "Buckling analysis of functionally graded plates subjected to uniaxial loading", Compos. Struct., 38(1-4), 29-36. https://doi.org/10.1016/s0263-8223(97)00038-x
- Fenjan, R.M., Moustafa, N.M. and Faleh, N.M. (2020), "Scale-dependent thermal vibration analysis of FG beams having porosities based on DQM", Adv. Nano Res., Int. J., 8(4), 283-292. https://doi.org/10.12989/anr.2020.8.4.283
- Gafour, Y., Hamidi, A., Benahmed, A., Zidour, M. and Bensattalah, T. (2020), "Porosity-dependent free vibration analysis of FG nanobeam using non-local shear deformation and energy principle", Adv. Nano Res., Int. J., 8(1), 37-47. https://doi.org/10.12989/anr.2020.8.1.037
- Hadji, L. (2020a), "Vibration analysis of FGM beam: Effect of the micromechanical models", Coupl. Syst. Mech., Int. J., 9(3), 265-280. https://doi.org/10.12989/csm.2020.9.3.265
- Hadji, L. (2020b), "Influence of the distribution shape of porosity on the bending of FGM beam using a new higher order shear deformation model", Smart Struct. Syst., Int. J., 26(2), 253-262. https://doi.org/10.12989/sss.2020.26.2.253
- Hadji, L. and Avcar, M. (2021), "Free Vibration Analysis of FG Porous Sandwich Plates under Various Boundary Conditions", J. Appl. Comput. Mech., 7(2), 505-519. https://doi.org/10.22055/JACM.2020.35328.2628
- Hadji, L., Zouatnia, N. and Bernard, F. (2019), "An analytical solution for bending and free vibration responses of functionally graded beams with porosities: Effect of the micromechanical models", Struct. Eng. Mech., Int. J., 69(2), 231-241. https://doi.org/10.12989/sem.2019.69.2.231
- Jabbari, M., Mojahedin, A., Khorshidvand, A.R. and Eslami, M.R. (2013), "Buckling analysis of a functionally graded thin circular plate made of saturated porous materials", J. Eng. Mech., 140(2), 287-295. https://doi.org/10.1061/(asce)em.1943-7889.0000663
- Jabbari, M., Hashemitaheri, M., Mojahedin, A. and Eslami, M.R. (2014), "Thermal buckling analysis of functionally graded thin circular plate made of saturated porous materials", J. Therm. Stress., 37(2), 202-220. https://doi.org/10.1080/01495739.2013.839768
- Javaheri, R. and Eslami, M.R. (2002), "Thermal buckling of functionally graded plates", AIAA J., 40(1), 162-169. https://doi.org/10.2514/2.1626
- Kar, V.R. and Panda, S.K. (2015), "Nonlinear flexural vibration of shear deformable functionally graded spherical shell panel", Steel Compos. Struct., Int. J., 18(3), 693-709. https://doi.org/10.12989/scs.2015.18.3.693
- 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. https://doi.org/10.12989/amr.2016.5.4.205
- Karami, B., Shahsavari, D. and Janghorban, M. (2018), "Wave propagation analysis in functionally graded (FG) nanoplates under in-plane magnetic field based on nonlocal strain gradient theory and four variable refined plate theory", Mech. Adv. Mater. Struct., 25(12), 1047-1057. https://doi.org/10.1080/15376494.2017.1323143
- Karami, B., Shahsavari, D., Janghorban, M. and Li, L. (2019), "Influence of homogenization schemes on vibration of functionally graded curved microbeams", Compos. Struct., 216, 67-79. https://doi.org/10.1016/j.compstruct.2019.02.089
- Karami, B., Shahsavari, D., Ordookhani, A., Gheisari, P., Li, L. and Eyvazian, A. (2020), "Dynamics of graphene-nanoplatelets reinforced composite nanoplates including different boundary conditions", Steel Compos. Struct., Int. J., 36(6), 689-702. https://doi.org/10.12989/scs.2020.36.6.689
- Khadimallah, M.A. and Hussain, M. (2020), "Effect of power law index for vibration of armchair and zigzag single walled carbon nanotubes", Steel Compos. Struct., Int. J., 37(5), 621-632. https://doi.org/10.12989/scs.2020.37.5.621
- Kiani, Y. and Eslami, M.R. (2010), "Thermal buckling analysis of functionally graded material beams", Int. J. Mech. Mater. Des., 6(3), 229-238. https://doi.org/10.1007/s10999-010-9132-4
- Levyakov, S.V. (2013), "Elastica solution for thermal bending of a functionally graded beam", Acta Mechanica, 224(8), 1731- 1740. https://doi.org/10.1007/s00707-013-0834-1
- Levyakov, S. (2015), "Thermal elastica of shear-deformable beam fabricated of functionally graded material", Acta Mechanica, 226(3), 723-733. https://doi.org/10.1007/s00707-014-1218-x
- Ma, L.S. and Lee, D.W. (2011), "A further discussion of nonlinear mechanical behavior for FGM beams under in-plane thermal loading", Compos. Struct., 93(2), 831-842. https://doi.org/10.1016/j.compstruct.2010.07.011
- Ma, L.S. and Lee, D.W. (2012), "Exact solutions for nonlinear static responses of a shear deformable FGM beam under an in-plane thermal loading", Eur. J. Mech. - A/Solids, 31(1), 13-20. https://doi.org/10.1016/j.euromechsol.2011.06.016
- Madenci, E. (2019), "A refined functional and mixed formulation to static analyses of fgm beams", Struct. Eng. Mech., Int. J., 69(4), 427-437. https://doi.org/10.12989/sem.2019.69.4.427
- Madenci, E. and Ozutok, A. (2020), "Variational approximate for high order bending analysis of laminated composite plates", Struct. Eng. Mech., Int. J., 73(1), 97-108. https://doi.org/10.12989/sem.2020.73.1.097
- Merzoug, M., Bourada, M., Sekkal, M., Ali Chaibdra, A., Belmokhtar, C., Benyoucef, S. and Benachour, A. (2020), "2D and quasi 3D computational models for thermoelastic bending of FG beams on variable elastic foundation: Effect of the micromechanical models", Geomech. Eng., Int. J., 22(4), 361-374. https://doi.org/10.12989/gae.2020.22.4.361
- Mohammadi, M., Saidi, A.R. and Jomehzadeh, E. (2010), "A novel analytical approach for the buckling analysis of moderately thick functionally graded rectangular plates with two simply-supported opposite edges", Mech. Eng. Sci., 224, 1831-1841. https://doi.org/10.1243/09544062jmes1804
- Najafizadeh, M.M. and Eslami, M.R. (2002), "First-Order-Theory-Based Thermo Elastic Stability of Functionally Graded Material Circular Plates", AIAA J., 40(7), 1444-1450. https://doi.org/10.2514/2.1807
- Najafizadeh, M.M. and Heydari, H.R. (2004), "Thermal buckling of functionally graded circular plates based on higher order shear deformation plate theory", Eur. J. Mech. - A/Solids, 23(6), 1085-1100. https://doi.org/10.1016/j.euromechsol.2004.08.004
- Nebab, M., Ait Atmane, H., Bennai, R. and Tahar, B. (2019), "Effect of nonlinear elastic foundations on dynamic behavior of FG plates using four-unknown plate theory", Earthq. Struct., Int. J., 17(5), 447-462. https://doi.org/10.12989/eas.2019.17.5.447
- Nebab, M., Benguediab, S., Ait Atmane, H and Bernard, F. (2020), "A simple quasi-3D HDST for dynamic behavior of advanced composite plates with the effect of variables elastic foundations", Geomechanics and Engineering, 22(5), 415-431. DOI: http://dx.doi.org/10.12989/gae.2020.22.5.415
- Rachedi, M.A., Benyoucef, S., Bouhadra, A., Bachir Bouiadjra, R., Sekkal, M. and Benachour, A. (2020), "Impact of the homogenization models on the thermoelastic response of FG plates on variable elastic foundation", Geomech. Eng., Int. J., 22(1), 65-80. https://doi.org/10.12989/gae.2020.22.1.065
- Rahmani, M., Mohammadi, Y., Kakavand, F. and Raeisifard, H. (2020), "Vibration analysis of different types of porous FG conical sandwich shells in various thermal surroundings", J. Appl. Computat. Mech., 6(3), 416-432. https://doi.org/10.22055/jacm.2019.29442.1598
- Ramteke, P.M., Panda, S.K. and Sharma, N. (2019), "Effect of grading pattern and porosity on the eigen characteristics of porous functionally graded structure", Steel Compos. Struct., Int. J., 33(6), 865-875. https://doi.org/10.12989/scs.2019.33.6.865
- Safa, A., Hadji, L., Bourada, M. and Zouatnia, N. (2019), "Thermal vibration analysis of FGM beams Using an efficient shear deformation beam theory", Earthq. Struct., Int. J., 17(3), 329-336. https://doi.org/10.12989/eas.2019.17.3.329
- Selmi, A. (2020), "Exact solution for nonlinear vibration of clamped-clamped functionally graded buckled beam", Smart Struct. Syst., Int. J., 26(3), 361-371. https://doi.org/10.12989/sss.2020.26.3.361
- She, G.-L., Liu, H.-B. and Karami, B. (2020), "On resonance behavior of porous FG curved nanobeams", Steel Compos. Struct., Int. J., 36(2), 179-186. https://doi.org/10.12989/scs.2020.36.2.179
- Simsek, M. (2010), "Fundamental frequency analysis of functionally graded beams by using different higher-order beam theories", Nuclear Eng. Des., 240(4), 697-705. https://doi.org/10.1016/j.nucengdes.2009.12.013
- Tabasi, H.M., Jam, J.E., Fard, K.M. and Beni, M.H. (2020), "Buckling and Free Vibration Analysis of Fiber Metal-laminated Plates Resting on Partial Elastic Foundation", J. Appl. Computat. Mech., 6(1), 37-51. https://doi.org/10.22055/jacm.2019.28156.1489
- Tayeb, T.S., Zidour, M., Bensattalah, T., Heireche, H., Benahmed, A. and Bedia, E.A. (2020), "Mechanical buckling of FG-CNTs reinforced composite plate with parabolic distribution using Hamilton's energy principle", Adv. Nano Res., Int. J., 8(2), 135-148. https://doi.org/10.12989/anr.2020.8.2.135
- Thanh, C.L., Nguyen, T.N., Vu, T.H., Khatir, S. and Abdel Wahab, M. (2020), "A geometrically nonlinear size-dependent hypothesis for porous functionally graded micro-plate", Eng. Comput. https://doi.org/10.1007/s00366-020-01154-0
- Timesli, A. (2020), "Prediction of the critical buckling load of SWCNT reinforced concrete cylindrical shell embedded in an elastic foundation", Comput. Concrete, Int. J., 26(1), 53-62. https://doi.org/10.12989/cac.2020.26.1.053
- Ton-That, H.L. (2020), "Finite Element Analysis of Functionally Graded Skew Plates in Thermal Environment based on the New Third-order Shear Deformation Theory", J. Appl. Computat. Mech., 6(4), 1044-1057. https://doi.org/10.22055/jacm.2019.31508.1881
- Turan, M., Adiyaman, G., Kahya, V. and Birinci, A. (2016), "Axisymmetric analysis of a functionally graded layer resting on elastic substrate", Struct. Eng. Mech., Int. J., 58(3), 423-442. https://doi.org/10.12989/sem.2016.58.3.423
- Vinyas, M. (2020), "On frequency response of porous functionally graded magneto-electro-elastic circular and annular plates with different electro-magnetic conditions using HSDT", Compos. Struct., 240, 112044. https://doi.org/10.1016/j.compstruct.2020.112044
- Wattanasakulpong, N. and Ungbhakorn, V. (2014), "Linear and nonlinear vibration analysis of elastically restrained ends GM beams with porosities", Aerosp. Sci. Technol., 32(1), 111-120. https://doi.org/10.1016/j.ast.2013.12.002
- Zhao, X., Lee, Y.Y. and Liew, K.M. (2009), "Mechanical and thermal buckling analysis of functionally graded plates", Compos. Struct., 90(2), 161-171. https://doi.org/10.1016/j.compstruct.2009.03.005
피인용 문헌
- Free Vibration Investigations of Rotating FG Beams Resting on Elastic Foundation with Initial Geometrical Imperfection in Thermal Environments vol.2021, 2021, https://doi.org/10.1155/2021/5533920
- Computational analysis of the nonlinear vibrational behavior of perforated plates with initial imperfection using NURBS-based isogeometric approach vol.8, pp.5, 2021, https://doi.org/10.1093/jcde/qwab043
- Compressive mechanical behavior and model of composite elastic-porous metal materials vol.8, pp.12, 2021, https://doi.org/10.1088/2053-1591/ac40b5