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http://dx.doi.org/10.12989/anr.2020.8.3.203

Bending analysis of magneto-electro piezoelectric nanobeams system under hygro-thermal loading  

Ebrahimi, Farzad (Department of Mechanical Engineering, Faculty of Engineering, Imam Khomeini International University)
Karimiasl, Mahsa (Department of Mechanical Engineering, Faculty of Engineering, Imam Khomeini International University)
Selvamani, Rajendran (Department of Mathematics, Karunya University)
Publication Information
Advances in nano research / v.8, no.3, 2020 , pp. 203-214 More about this Journal
Abstract
This paper investigated bending of magneto-electro-elastic (MEE) nanobeams under hygro-thermal loading embedded in Winkler-Pasternak foundation based on nonlocal elasticity theory. The governing equations of nonlocal nanobeams in the framework parabolic third order beam theory are obtained using Hamilton's principle and solved implementing an analytical solution. A parametric study is presented to examine the effect of the nonlocal parameter, hygro-thermal-loadings, magneto-electro-mechanical loadings and aspect ratio on the deflection characteristics of nanobeams. It is found that boundary conditions, nonlocal parameter and beam geometrical parameters have significant effects on dimensionless deflection of nanoscale beams.
Keywords
piezoelectric nanobeam; bending; hygro-thermal loading; nonlocal elasticity theory; magneto-electric;
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Times Cited By KSCI : 83  (Citation Analysis)
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1 Prashanthi, K., Shaibani, P.M., Sohrabi, A., Natarrajan, T.S. and Thundat, T. (2012), "Nanoscale magnetoelectric coupling in multiferroic $BiFeO_3$ nanowires", Phys. Status Solid., 6, 244-246. https://doi.org/10.1002/pssr.201206135
2 Rakrak, K., Zidour, M., Heireche, H., Bousahla, A.A. and Chemi, A. (2016), "Free vibration analysis of chiral double-walled carbon nanotube using non-local elasticity theory", Adv. Nano Res., Int. J., 4(1), 31-44. http://doi.org/10.12989/anr.2016.4.1.031   DOI
3 Roque, C.M.C., Ferreira, A.J.M. and Reddy, J.N. (2011), "Analysis of Timoshenko nanobeams with a nonlocal formulation and meshless method", Int. J. Eng. Sci., 49(9), 976-984. https://doi.org/10.1016/j.ijengsci.2011.05.010   DOI
4 Ramirez, F., Heyliger, P.R. and Pan, E. (2006), "Discrete layer solution to free vibrations of functionally graded magnetoelectro-elastic plates", Mech. Adv. Mater. Struct., 13(3), 249-266. https://doi.org/10.1080/15376490600582750   DOI
5 Safa, M., Shariati, M., Ibrahim, Z., Toghroli, A., Baharom, S.B., Nor, N.M. and Petkovic, D. (2016), "Potential of adaptive neuro fuzzy inference system for evaluating the factors affecting steelconcrete composite beam's shear strength", Steel Compos. Struct., Int. J., 21(3), 679-688. https://doi.org/10.12989/scs.2016.21.3.679   DOI
6 Sedghi, Y., Zandi, Y., Shariati, M., Ahmadi, E., Moghimi Azar, V., Toghroli, A., Safa, M., Tonnizam Mohamad, E., Khorami, M. and Wakil, K. (2018), "Application of ANFIS technique on performance of C and L shaped angle shear connectors", Smart Struct. Syst., Int. J., 22(3), 335-340. http://dx.doi.org/10.12989/sss.2018.22.3.335
7 Semmah, A., Heireche, H., Bousahla, A.A. and Tounsi, A. (2019), "Thermal buckling analysis of SWBNNT on Winkler foundation by non local FSDT", Adv. Nano Res., Int. J., 7(2), 89-98. http://doi.org/10.12989/anr.2019.7.2.089
8 Ebrahimi, F. and Barati, M.R. (2016b), "Electromechanical buckling behavior of smart piezoelectrically actuated higherorder 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   DOI
9 Draoui, A., Zidour, M., Tounsi, A. and Adim, B. (2019), "Static and dynamic behavior of nanotubes-reinforced sandwich plates using (FSDT)", J. Nano Res., 57, 117-135. https://doi.org/10.4028/www.scientific.net/JNanoR.57.117   DOI
10 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. https://doi.10.1007/s00339.016.001.3
11 Ebrahimi, F. and Barati, M.R. (2016c), "An exact solution for buckling analysis of embedded piezoelectro-magnetically actuated nanoscale beams", Adv. Nano Res., Int. J., 4(2), 65-84. http://doi.org/10.12989/anr.2016.4.2.065   DOI
12 Ebrahimi, F. and Barati, M.R. (2016d), "Vibration analysis of smart piezoelectrically actuated nanobeams subjected to magneto-electrical field in thermal environment", J. Vib. Control, 24(3), 549-564. https://doi.org/10.1177/1077546316646239   DOI
13 Ebrahimi, F. and Barati, M.R. (2016e), "Buckling analysis of nonlocal third-order shear deformable functionally graded piezoelectric nanobeams embedded in elastic medium", Ji Brazil. Soc. Mech. Sci. Eng., 1-16. https://doi/10.1007/s40430-016-0551-5
14 Ebrahimi, F. and Daman, M. (2017), "Analytical investigation of the surface effects on nonlocal vibration behavior of nanosize curved beams", Adv. Nano Res., Int. J., 5(1), 35-47. http://doi.org/10.12989/anr.2017.5.1.035   DOI
15 Ghorbanpour Arani, A. and Zamani, M.H. (2017), "Investigation of electric field effect on size-dependent bending analysis of functionally graded porous shear and normal deformable sandwich nanoplate on silica Aerogel foundation", J. Sandw. Struct. Mater., 1099636217721405. https://doi.org/10.1177/1099636217721405
16 Shariati, M., Rafie, S., Zandi, Y., Fooladvand, R., Gharehaghaj, B., Mehrabi, P., Shariat, A., Trung, N.T., Salih, M.N. and Poi-Ngian, S. (2019c), "Experimental investigation on the effect of cementitious materials on fresh and mechanical properties of self-consolidating concrete", Adv. Concrete Constr., Int. J., 8(3), 225-237. https://doi.org/10.12989/acc.2019.8.3.225
17 Shariati, M., Trung, N.T., Wakil, K., Mehrabi, P., Safa, M. and Khorami, M. (2019d), "Estimation of moment and rotation of steel rack connections using extreme learning machine", Steel Compos. Struct., Int. J., 31(5), 427-435. https://doi.org/10.12989/scs.2019.31.5.427
18 Ebrahimi, F. and Habibi, S. (2017), "Low-velocity impact response of laminated FG-CNT reinforced composite plates in thermal environment", Adv. Nano Res., Int. J., 5(2), 69-97. http://doi.org/10.12989/anr.2017.5.2.069
19 Eringen, A. (2002), Nonlocal Continuum Field Theories, Springer, New York, USA.
20 Eringen, A. (2006), "Nonlocal continuum mechanics based on distributions", Int. J. Eng. Sci., 44(3), 141-147. https://doi.org/10.1016/j.ijengsci.2005.11.002   DOI
21 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., Int. J., 18(1), 235-253. http://doi.org/10.12989/scs.2015.18.1.235   DOI
22 Hosseinpour, E., Baharom, S., Badaruzzaman, W.H.W., Shariati, M. and Jalali, A. (2018), "Direct shear behavior of concrete filled hollow steel tube shear connector for slim-floor steel beams", Steel Compos. Struct., Int. J., 26(4), 485-499. https://doi.org/10.12989/scs.2018.26.4.485
23 Jalali, A., Daie, M., Nazhadan, S.V.M., Kazemi-Arbat, P. and Shariati, M. (2012), "Seismic performance of structures with prebent strips as a damper", Int. J. Phys. Sci., 7(26), 4061-4072. https://doi.org/10.5897/IJPS11.1324
24 Shah, S.N.R., Ramli Sulong, N.H., Khan, R., Jumaat, M.Z. and Shariati, M. (2016c), "Behavior of Industrial Steel Rack Connections", Mech. Syst. Signal Process., 70-71, 725-740. https://doi.org/10.1016/j.ymssp.2015.08.026   DOI
25 Shah, S., Sulong, N.R., Jumaat, M. and Shariati, M. (2016a), "State-of-the-art review on the design and performance of steel pallet rack connections", Eng. Fail. Anal., 66, 240-258. https://doi.org/10.1016/j.engfailanal.2016.04.017   DOI
26 Shah, S., Sulong, N.R., Shariati, M. and Jumaat, M. (2015), "Steel rack connections: identification of most influential factors and a comparison of stiffness design methods", PloS One, 10(10), e0139422. https://doi.org/10.1371/journal.pone.0139422   DOI
27 Shah, S., Sulong, N.R., Shariati, M., Khan, R. and Jumaat, M. (2016b), "Behavior of steel pallet rack beam-to-column connections at elevated temperatures", Thin-Wall. Struct., 106, 471-483. https://doi.org/10.1016/j.tws.2016.05.021   DOI
28 Shahriar Dastjerdi, S., Akgoz, B. and Yazdanparast, L. (2018), "A new approach for bending analysis of bilayer conical graphene panels considering nonlinear van der Waals force", Compos. Part B-Eng., 150, 2018, 124-134. https://doi.org/10.1016/j.compositesb.2018.05.059
29 Shariati, M., Mafipour, M.S., Mehrabi, P., Ahmadi, M., Wakil, K., Nguyen-Thoi, T. and Toghroli, A. (2020b), "Prediction of concrete strength in presence of furnace slag and fly ash using Hybrid ANN-GA (Artificial Neural Network-Genetic Algorithm)", Smart Struct. Syst., Int. J., 25(2), 183-195. https://doi.org/10.12989/sss.2020.25.2.183
30 Shariati, M., Mafipour, M.S., Haido, J.H., Yousif, S.T., Toghroli, A., Trung, N.T. and Shariati, A. (2020a), "Identification of the most influencing parameters on the properties of corroded concrete beams using an Adaptive Neuro-Fuzzy Inference System (ANFIS)", Steel Compos. Struct., Int. J., 34(1), 155-170. https://doi.org/10.12989/scs.2020.34.1.155
31 Shariati, M., Mafipour, M.S., Mehrabi, P., Shariati, A., Toghroli, A., Trung, N.T. and Salih, M.N.A. (2020c), "A novel approach to predict shear strength of tilted angle connectors using artificial intelligence techniques", Eng. Comput., 1-21. https://doi.org/10.1007/s00366-019-00930-x
32 Simsek, M. and Yurtcu, H.H. (2013), "Analytical solutions for bending and buckling of functionally graded nanobeams based on the nonlocal Timoshenko beam theory", Compos. Struct., 97, 378-386. https://doi.org/10.1016/j.compstruct. 2012.10.038   DOI
33 Sobhy, M. (2013), "Buckling and free vibration of exponentially graded sandwich plates resting on elastic foundations under various boundary conditions", Compos. Struct., 99, 76-87. https://doi:10.1016/j.compstruct.2012.11.018   DOI
34 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., Int. J., 63(5), 585-595. http://doi.org/10.12989/gae.2017.13.3.385
35 Ebrahimi, F. and Mahesh, V. (2019), "Chaotic dynamics and forced harmonic vibration analysis of magneto-electroviscoelastic multiscale composite nanobeam", Eng. Comput. https://doi.org/10.1007/s00366-019-00865-3
36 Ebrahimi, F., Babaei, R. and Shaghaghi, G.R. (2018), "Vibration analysis thermally affected viscoelastic nanosensors subjected to linear varying loads", Adv. Nano Res., Int. J., 6(4), 399-422. http://doi.org/10.12989/anr.2018.6.4.399
37 Ehyaei, J. and Daman, M. (2017), "Free vibration analysis of double walled carbon nanotubes embedded in an elastic medium with initial imperfection", Adv. Nano Res., Int. J., 5(2), 179-192. http://doi.org/10.12989/anr.2017.5.2.179
38 Bouadi, A., Bousahla, A.A., Houari, M.S.A., Heireche, H. and Tounsi, A. (2018), "A new nonlocal HSDT for analysis of stability of single layer graphene sheet", Adv. Nano Res., Int. J., 6(2), 147-162. http://doi.org/10.12989/anr.2018.6.2.147
39 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., Int. J., 19(2), 115-126. http://doi.org/10.12989/sss.2017.19.2.115   DOI
40 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., Int. J., 58(3), 397-422. http://doi.org/10.12989/sem.2016.58.3.397   DOI
41 Cherif, R.H., Meradjah, M., Zidour, M., Tounsi, A., Belmahi, H. and Bensattalah, T. (2018), "Vibration analysis of nano beam using differential transform method including thermal effect", J. Nano Res., 54, 1-14. https://doi.org/10.4028/www.scientific.net/JNanoR.54.1   DOI
42 Kadari, B., Bessaim, A., Tounsi, A., Heireche, H., Bousahla, A.A. and Houari, M.S.A. (2018), "Buckling analysis of orthotropic nanoscale plates resting on elastic foundations", J. Nano Res., 55, 42-56. https://doi.org/10.4028/www.scientific.net/JNanoR.55.42   DOI
43 Eringen, A. (1976), "Nonlocal micropolar field theory", In: Continuum Physics, (A.C. Eringen Ed.), Academic Press, New York, USA.
44 Karami, B., Janghorban, M. and Tounsi, A. (2017), "Effects of triaxial magnetic field on the anisotropic nanoplates", Steel Compos. Struct., Int. J., 25(3), 361-374. http://doi.org/10.12989/scs.2017.25.3.361
45 Shariat, M., Shariati, M., Madadi, A. and Wakil, K. (2018), "Computational Lagrangian Multiplier Method using optimization and sensitivity analysis of rectangular reinforced concrete beams", Steel Compos. Struct., Int. J., 29(2), 243-256. http://dx.doi.org/10.12989/scs.2018.29.2.243
46 Shariati, M., Sulong, N.R. and Khanouki, M.A. (2012), "Experimental assessment of channel shear connectors under monotonic and fully reversed cyclic loading in high strength concrete", Mater. Des., 34, 325-331. https://doi.org/10.1016/j.matdes.2011.08.008   DOI
47 Van Den Boomgard, J., Terrell, D.R., Born, R.A.J. and Giller, H.F.J.I. (1974), "An in situ grown eutectic magnetoelectric composite material", J. Mater. Sci., 9, 1705-1709. https://link.springer.com/article/10.1007/BF00540770   DOI
48 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., Int. J., 20(2), 227-249. http://doi.org/10.12989/scs.2016.20.2.227   DOI
49 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., Int. J., 60(2), 313-335. http://doi.org/10.12989/sem.2016.60.2.313   DOI
50 Boutaleb, S., Benrahou, K.H., Bakora, A., Algarni, A., Bousahla, A.A., Tounsi, A., Tounsi, A. and Mahmoud, S.R. (2019), "Dynamic Analysis of nanosize FG rectangular plates based on simple nonlocal quasi 3D HSDT", Adv. Nano Res., Int. J., 7(3), 189-206. http://doi.org/10.12989/anr.2019.7.3.189
51 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., Int. J., 19(3), 289-297. http://doi.org/10.12989/sss.2017.19.3.289   DOI
52 Civalek, O. and Demir, C. (2011), "Bending analysis of microtubules using nonlocal Euler-Bernoulli beam theory", Appl. Mathe. Model., 35, 2053-2067. https://doi.org/10.1016/j.apm.2010.11.004   DOI
53 Daie, M., Jalali, A., Suhatril, M., Shariati, M., Arabnejad Khanouki, M.M., Shariati, A. and Kazemi Arbat, P. (2011), "A new finite element investigation on pre-bent steel strips as damper for vibration control", Int. J. Phys. Sci., 6(36), 8044-8050. https://doi.org/10.5897/IJPS11.1585
54 Shariati, M., Ramli Sulong, N.H., Shariati, A. and Khanouki, M.A. (2015), "Behavior of V-shaped angle shear connectors: experimental and parametric study", Mater. Struct., 49(9), 3909-3926. https://doi.org/10.1617/s11527-015-0762-8
55 Karami, B., Janghorban, M., Shahsavari, D. and Tounsi, A. (2018a), "A size-dependent quasi-3D model for wave dispersion analysis of FG nanoplates", Steel Compos. Struct., Int. J., 28(1), 99-110. http://doi.org/10.12989/scs.2018.28.1.099
56 Karami, B., Janghorban, M. and Tounsi, A. (2018b), "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. https://doi.org/10.1016/j.tws.2018.02.025   DOI
57 Ke, L.L., Wang, Y.S., Yang, J. and Kitipornchai, S. (2014), "Free vibration of size-dependent magneto-electro-elastic nanoplates based on the nonlocal theory", Acta Mech. Sinica, 30(4), 516-525. https://doi.org/10.1007/s10409-014-0072-3   DOI
58 Shariati, M., Sulong, N.R., Suhatril, M., Shariati, A., Khanouki, M.A. and Sinaei, H. (2013), "Comparison of behaviour between channel and angle shear connectors under monotonic and fully reversed cyclic loading", Constr. Build. Mater., 38, 582-593. https://doi.org/10.1016/j.conbuildmat.2012.07.050   DOI
59 Shariati, A., Shariati, M., Sulong, N.R., Suhatril, M., Khanouki, M.A. and Mahoutian, M. (2014), "Experimental assessment of angle shear connectors under monotonic and fully reversed cyclic loading in high strength concrete", Constr. Build. Mater., 52, 276-283. https://doi.org/10.1016/j.conbuildmat.2013.11.036   DOI
60 Shariati, M., Toghroli, A., Jalali, A. and Ibrahim, Z. (2017), "Assessment of stiffened angle shear connector under monotonic and fully reversed cyclic loading", Proceedings of the 5th International Conference on Advances in Civil, Structural and Mechanical Engineering-CSM 2017.
61 Yang, J., Ke, L.L. and Kitipornchai, S. (2010), "Nonlinear free vibration of single-walled carbon nanotubes using nonlocal Timoshenko beam theory", Physica E: Low-dimens. Syst. Nanostruct., 42(5), 1727-1735. https:/doi.org/10.1016/j.physe.2010.01.035   DOI
62 Wang, Q. (2005), "Wave propagation in carbon nanotubes via nonlocal continuum mechanics", J. Appl. Phy., 98, 124301. https://doi.org/10.1063/1.2141648   DOI
63 Wang, C.M., Kitipornchai, S., Lim, C.W. and Eisenberger, M. (2008), "Beam bending solutions based on nonlocal Timoshenko beam theory", Int. J. Eng. Sci., 134, 475-481. https:/doi.org/10.1061.(ASCE).0733.9399(208).134.6(475)
64 Wang, Y., Hu, J.M., Lin, Y.H. and Nan, C.W. (2010), "Multiferroicmagnetoelectric composite nanostructures", NPG Asia Mater., 2, 61-68. https://www.nature.com/articles/am201054   DOI
65 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., Int. J., 21(1), 15-25. http://doi.org/10.12989/sss.2018.21.1.015
66 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., Int. J., 21(1), 65-74. http://doi.org/10.12989/sss.2018.21.1.065
67 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., Int. J., 54(4), 693-710. http://doi.org/10.12989/sem.2015.54.4.693   DOI
68 Khorami, M., Alvansazyazdi, M., Shariati, M., Zandi, Y., Jalali, A. and Tahir, M. (2017a), "Seismic performance evaluation of buckling restrained braced frames (BRBF) using incremental nonlinear dynamic analysis method (IDA)". http://dx.doi.org/10.12989/eas.2017.13.6.531   DOI
69 Kheroubi, B., Benzair, A., Tounsi, A. and Semmah, A. (2016), "A new refined nonlocal beam theory accounting for effect of thickness stretching in nanoscale beams", Adv. Nano Res., Int. J., 4(4), 251-264. http://doi.org/10.12989/anr.2016.4.4.251
70 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., Int. J., 64(4), 391-402. http://doi.org/10.12989/sem.2017.64.4.391
71 Khorami, M., Khorami, M., Motahar, H., Alvansazyazdi, M., Shariati, M., Jalali, A. and Tahir, M. (2017b), "Evaluation of the seismic performance of special moment frames using incremental nonlinear dynamic analysis", Struct. Eng. Mech., Int. J., 63(2), 259-268. https://doi.org/10.12989/sem.2017.63.2.259
72 Arabnejad Khanouki, M., Ramli Sulong, N. and Shariati, M. (2010), "Investigation of seismic behaviour of composite structures with concrete filled square steel tubular (CFSST) column by push-over and time-history analyses", Proceedings of the 4th International Conference on Steel & Composite Structures.
73 Shariati, M., Tahir, M.M., Wee, T.C., Shah, S.N.R., Jalali, A. and Khorami, M. (2018), "Experimental investigations on monotonic and cyclic behavior of steel pallet rack connections", Eng. Fail. Anal., 85, 149-166. https://doi.org/10.1016/j.engfailanal.2017.08.014   DOI
74 Shariati, M., Heirati, A., Zandi, Y., Laka, H., Toghroli, A., Kianmehr, P., Safa, M., Salih, M.N. and Poi-Ngian, S. (2019a), "Application of waste tire rubber aggregate in porous concrete", Smart Struct. Syst., Int. J., 24(4), 553-566. https://doi.org/10.12989/sss.2019.24.4.553
75 Shariati, M., Mafipour, M.S., Mehrabi, P., Zandi, Y., Dehghani, D., bahadori, A., Shariati, A., Trung, N.T., Salih, M.N. and Poi-Ngian, S. (2019b), "Application of Extreme Learning Machine (ELM) and Genetic Programming (GP) to design steel-concrete composite floor systems at elevated temperatures", Steel Compos. Struct., Int. J., 33(3), 319-332. https://doi.org/10.12989/scs.2019.33.3.319
76 Dastjerdi, S. and Akgoz, B. (2018), "New static and dynamic analyses of macro and nano FGM plates using exact threedimensional elasticity in thermal environment", Compos. Struct., 192, 626-641. https://doi.org/10.1016/j.compstruct.2018.03.058   DOI
77 Davoodnabi, S.M., Mirhosseini, S.M. and Shariati, M. (2019), "Behavior of steel-concrete composite beam using angle shear connectors at fire condition", Steel Compos. Struct., Int. J., 30(2), 141-147. https://doi.org/10.12989/scs.2019.30.2.141
78 Arabnejad Khanouki, M.M., Ramli Sulong, N.H. and Shariati, M. (2011), "Behavior of through Beam Connections Composed of CFSST Columns and Steel Beams by Finite Element Studying", Adv. Mater. Res., 168, 2329-2333.   DOI
79 Arabnejad Khanouki, M.M., Ramli Sulong, N.H., Shariati, M. and Tahir, M.M. (2016), "Investigation of through beam connection to concrete filled circular steel tube (CFCST) column", J. Constr. Steel Res., 121, 144-162. http://doi.org/10.1016/j.jcsr.2016.01.002   DOI
80 Arefi, M. and Zenkour, A.M. (2016), "A simplified shear and normal deformations nonlocal theory for bending of functionally graded piezomagnetic sandwich nanobeams in magneto-thermoelectric environment", J. Sand. Struct. Mater., 18(5), 624-651. https://doi.org/10.1177/1099636216652581   DOI
81 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., Int. J., 65(4), 453-464. http://doi.org/10.1080/15502287.2016.1231239
82 Mohammadhassani, M., Jumaat, M.Z. and Jameel, M. (2012), "Experimental investigation to compare the modulus of rupture in high strength self compacting concrete deep beams and high strength concrete normal beams", Constr. Build. Mater., 30, 265-273. http://doi.org/10.1016/j.conbuildmat.2011.12.004   DOI
83 Kurtinaitiene, M., Mazeika, K., Ramanavicius, S., Pakstas, V. and Jagminas, A. (2016), "Effect of additives on the hydrothermal synthesis of manganese ferrite nanoparticles", Adv. Nano Res., Int. J., 4(1), 1-14. http://doi.org/10.12989/anr.2016.4.1.001
84 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., Int. J., 18(2), 425-442. http://doi.org/10.12989/scs.2015.18.2.425   DOI
85 Li, D., Toghroli, A., Shariati, M., Sajedi, F., Bui, D.T., Kianmehr, P., Mohamad, E.T. and Khorami, M. (2019), "Application of polymer, silica-fume and crushed rubber in the production of Pervious concrete", Smart Struct. Syst., Int. J., 23(2), 207-214. http://dx.doi.org/10.12989/sss.2019.23.2.207
86 Martin, L.W., Crane, S.P., Chu, Y.H., Holcomb, M.B., Gajek, M., Huijben, M., Yang, C.H., Balke, N. and Ramesh, R. (2008), "Multiferroics and magnetoelectrics: Thin films and nanostructures", J. Phys.: Condens. Matter., 20, 434220. https://iopscience.iop.org/article/10.1088/0953-8984/20/43/434220/meta   DOI
87 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., Int. J., 25(2), 157-175. http://doi.org/10.12989/sem.2017.63.5.585
88 Mohammadhassani, M., Nezamabadi-pour, H., Jameel, M. and Garmasiri, K. (2013a), "Applications of the ANFIS and LR in the prediction of strain in tie section of concrete deep beams", Comput. Concrete, Int. J., 12(3), 243-259. https://doi.org/10.12989/cac.2013.12.3.243   DOI
89 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., Int. J., 27(5), 311-324. http://doi.org/10.12989/was.2018.27.5.311
90 Aydogdu, M., Arda, M. and Filiz, S. (2018), "Vibration of axially functionally graded nano rods and beams with a variable nonlocal parameter", Adv. Nano Res., Int. J., 6(3), 257-278. http://doi.org/10.12989/anr.2018.6.3.257
91 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., Int. J., 18(4), 755-786. http://doi.org/10.12989/sss.2016.18.4.755   DOI
92 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 variablemodel", Steel Compos. Struct., Int. J., 18(4), 1063-1081. http://doi.org/10.12989/scs.2015.18.4.1063   DOI
93 Bellifa, H., Benrahou, K.H., Bousahla, A.A., Tounsi, A. and Mahmoud, S.R. (2017), "A nonlocal zeroth-order shear deformation theory for nonlinear postbuckling of nanobeams", Struct. Eng. Mech., Int. J., 62(6), 695-702. http://doi.org/10.12989/sem.2017.62.6.695
94 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., Int. J., 19(6), 601-614. http://doi.org/10.12989/sss.2017.19.6.601
95 Adda Bedia, W., Houari, M.S.A., Bessaim, A., Bousahla, A.A., Tounsi, A., Saeed, T. and Alhodaly, M.S. (2019), "A new hyperbolic two-unknown beam model for bending and buckling analysis of a nonlocal strain gradient nanobeams", J. Nano. Res, 57, 175-191. https://doi.org/10.1016/j.compstruct.2016.09.058   DOI
96 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., Int. J., 21(4), 397-405. http://doi.org/10.12989/sss.2018.21.4.397
97 Zenkour, A.M. and Sobhy, M. (2013), "Nonlocal elasticity theory for thermal buckling of nanoplates lying on Winkler-Pasternak elastic substrate medium", Physica E: Low-dimensi Systi Nanostructi, 53, 251-259. https:/doi.org/10.1016/j.physe.2013.04.022   DOI
98 Zheng, H., Wang, J., Lofland, S.E., Ma, Z., Mohaddes-Ardabili, L., Zhao, T., Salamanca-Riba, L., Shinde, S.R., Ogale, S.B., Bai, F. and Viehland, D. (2004), "Multiferroic $BaTiO_3-CoFe_2O_4$ nanostructures", Science, 303, 661-663. https:/doi.org/10.1126/science.1094207   DOI
99 Mohammadhassani, M., Nezamabadi-Pour, H., Jumaat, M., Jameel, M., Hakim, S. and Zargar, M. (2013b), "Application of the ANFIS model in deflection prediction of concrete deep beam", Struct. Eng. Mech., Int. J., 45(3), 319-332. https://doi.org/10.12989/sem.2013.45.3.323
100 Mohammadhassani, M., Akib, S., Shariati, M., Suhatril, M. and Arabnejad Khanouki, M.M. (2014), "An experimental study on the failure modes of high strength concrete beams with particular references to variation of the tensile reinforcement ratio", Eng. Fail. Anal., 41, 73-80. http://doi.org/10.1016/j.engfailanal.2013.08.014   DOI
101 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., Int. J., 20(3), 369-383. http://doi.org/10.12989/sss.2017.20.3.369
102 Murmu, T. and Pradhan, S.C. (2009), "Buckling analysis of a single-walled carbon nanotube embedded in an elastic medium based on nonlocal elasticity and Timoshenko beam theory and using DQM", Physica E: Low-dimens. Syst. Nanostruct., 41(7), 1232-1239. https://doi.org/10.1016/j.physe.2009.02.004   DOI
103 Paknahad, M., Shariati, M., Sedghi, Y., Bazzaz, M. and Khorami, M. (2018), "Shear capacity equation for channel shear connectors in steel-concrete composite beams", Steel Compos. Struct., Int. J., 28(4), 483-494. https://doi.org/10.12989/scs.2018.28.4.483
104 Akgoz, B. and Civalek, O. (2017), "Effects of thermal and shear deformation on vibration response of functionally graded thick composite microbeams", Compos. Part B-Eng., 129, 77-87. https://doi.org/10.1016/j.compositesb.2017.07.024   DOI
105 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., Int. J., 20(5), 963-981. http://doi.org/10.12989/scs.2016.20.5.963   DOI
106 Akgoz, B. and Civalek, O. (2011), "Buckling analysis of cantilever carbon nanotubes using the strain gradient elasticity and modified couple stress theories", J. Computat. Theor. Nanosci., 8(9), 1821-1827. https://doi.org/10.1166/jctn.2011.1888   DOI
107 Akgoz, B. and Civalek, O. (2012), "Investigation of size effects on static response of single-walled carbon nanotubes based on strain gradient elasticity", Int. J. Compos. Meth., 9, 1240032. https://doi.org/10.1142/S0219876212400324   DOI
108 Ahsi, 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., Int. J., 13(3), 385-410. http://doi.org/10.12989/gae.2017.13.3.385
109 Elmerabet, A.H., Heireche, H., Tounsi, A. and Semmah, A. (2017), "Buckling temperature of a single-walled boron nitride nanotubes using a novel nonlocal beam model", Adv. Nano Res., Int. J., 5(1), 1-12. http://doi.org/10.12989/anr.2017.5.1.001
110 Eringen, A. (1968), "Mechanics of micromorphic continua", In Mechanics of Generalized Continua, (E. Kroner Ed.), Springer-Verlag, 104, 18-35. https://link.springer.com/book/10.1007%2F978-3-662-30257-6   DOI
111 Eringen, A. (1972), "Nonlocal polar elastic continua", Int. J. Eng. Sci., 10, 1-16. https://doi.org/10.1016/0020-7225(72)90070-5   DOI
112 Peddieson, J., Buchanan, G.R. and McNitt, R.P. (2003), "Application of nonlocal continuum models to nanotechnology", Int. J. Eng. Sci., 41, 305-312. https://doi.org/10.1016/S0020-7225(02)00210-0   DOI