1 |
Ansari, R. and Sahmani, S. (2012), "Small scale effect on vibrational response of single-walled carbon nanotubes with different boundary conditions based on nonlocal beam models", Commun. Nonlinear Sci. Numer. Simul., 17(4), 1965-1979.
DOI
|
2 |
Zhang, Y., Liu, G. and Wang, J. (2004), "Small-scale effects on buckling of multiwalled carbon nanotubes under axial compression", Phys. Rev. B, 70(20), 205430.
DOI
|
3 |
Zidi, M., Tounsi, A., Houari, M.S.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.
DOI
|
4 |
Aydogdu, M. (2009), "A general nonlocal beam theory: its application to nanobeam bending, buckling and vibration", Physica E: Low-dimensional Systems and Nanostructures, 41(9), 1651-1655.
DOI
|
5 |
Aydogdu, M. and Ece, M.C. (2006), "Buckling and vibration of non-ideal simply supported rectangular isotropic plates", Mech. Res. Commun., 33(4), 532-540.
DOI
|
6 |
Belabed, Z., Houari, M.S.A., Tounsi, A., Mahmoud, S. and Beg, O.A. (2014), "An efficient and simple higher order shear and normal deformation theory for functionally graded material (FGM) plates", Composites Part B: Engineering, 60, 274-283.
DOI
|
7 |
Bouderba, B., Houari, M.S.A. and Tounsi, A. (2013), "Thermomechanical bending response of FGM thick plates resting on Winkler-Pasternak elastic foundations", Steel Compos. Struct., 14(1), 85-104.
DOI
|
8 |
Bennoun, M., Houari, M.S.A. and Tounsi, A. (2016), "A novel five-variable refined plate theory for vibration analysis of functionally graded sandwich plates", Mech. Adv. Mater. Struct., 23(4), 423-431.
DOI
|
9 |
Benzair, A., Tounsi, A., Besseghier, A., Heireche, H., Moulay, N. and Boumia, L. (2008), "The thermal effect on vibration of single-walled carbon nanotubes using nonlocal Timoshenko beam theory", J. Phys. D: Appl. Phys., 41(22), 225404.
DOI
|
10 |
Besseghier, A., Heireche, H., Bousahla, A.A., Tounsi, A. and Benzair, A. (2015), "Nonlinear vibration properties of a zigzag single-walled carbon nanotube embedded in a polymer matrix", Adv. Nano Res., 3(1), 029.
DOI
|
11 |
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., 20(2), 227-249.
DOI
|
12 |
Chang, T.P. (2012), "Thermal-mechanical vibration and instability of a fluid-conveying single-walled carbon nanotube embedded in an elastic medium based on nonlocal elasticity theory", Appl. Math. Model., 36(5), 1964-1973.
DOI
|
13 |
Civalek, O. and Demir, C. (2011a), "Bending analysis of microtubules using nonlocal Euler-Bernoulli beam theory", Appl. Math.Model., 35(5), 2053-2067.
DOI
|
14 |
Civalek, O. and Demir, C. (2011b), "Buckling and bending analyses of cantilever carbon nanotubes using the euler-bernoulli beam theory based on non-local continuum model", Asian J. Civil Eng. (Building and Housing), 12(5), 651-661.
|
15 |
Civalek, O., Demir, C. and AkgOz, B. (2010), "Free vibration and bending analyses of cantilever microtubules based on nonlocal continuum model", Math. Comput. Appl., 15(2), 289-298.
|
16 |
Wang, Q. (2005), "Wave propagation in carbon nanotubes via nonlocal continuum mechanics", J. Appl. Phys., 98(12), 124301.
DOI
|
17 |
Tounsi, A., Bourada, M., Kaci, A. and Houari, M.S.A. (2015), "A new simple shear and normal deformations theory for functionally graded beams", Steel Compos. Struct., 18(2), 409.
DOI
|
18 |
Tounsi, A., Houari, M.S.A. and Benyoucef, S. (2013), "A refined trigonometric shear deformation theory for thermoelastic bending of functionally graded sandwich plates", Aerosp. Sci. Technol., 24(1), 209-220.
DOI
|
19 |
Wang, L., Ni, Q., Li, M. and Qian, Q. (2008), "The thermal effect on vibration and instability of carbon nanotubes conveying fluid", Physica E: Low-dimensional Systems and Nanostructures, 40(10), 3179-3182.
DOI
|
20 |
Wang, Q., Zhou, G. and Lin, K. (2006), "Scale effect on wave propagation of double-walled carbon nanotubes", Int. J. Solids Struct., 43(20), 6071-6084.
DOI
|
21 |
Wattanasakulpong, N. and Mao, Q. (2015), "Dynamic response of Timoshenko functionally graded beams with classical and non-classical boundary conditions using Chebyshev collocation method", Compos. Struct., 119, 346-354.
DOI
|
22 |
Yahia, S.A., Atmane, H.A., Houari, M.S.A. and Tounsi, A. (2015), "Wave propagation in functionally graded plates with porosities using various higher-order shear deformation plate theories", Struct. Eng. Mech., 53(6), 1143.
DOI
|
23 |
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., 54(4), 693-710.
DOI
|
24 |
Zhang, C.L. and Shen, H.S. (2007), "Buckling and postbuckling of single-walled carbon nanotubes under combined axial compression and torsion in thermal environments", Phys. Rev. B, 75(4), 045408.
DOI
|
25 |
Demir, C. and Civalek, O. (2013), "Torsional and longitudinal frequency and wave response of microtubules based on the nonlocal continuum and nonlocal discrete models", Appl. Math. Model., 37(22), 9355-9367.
DOI
|
26 |
Ebrahimi, F. and Salari E. (2015a), "A semi-analytical method for vibrational and buckling analysis of functionally graded nanobeams considering the physical neutral axis position", CMES: Computer Modeling in Engineering & Sciences 105.2, 151-181.
|
27 |
Eringen, A.C. (1972), "Nonlocal polar elastic continua", Int. J. Eng. Sci., 10(1), 1-16.
DOI
|
28 |
Ebrahimi, F. and Salari E. (2015b), "Size-dependent free flexural vibrational behavior of functionally graded nanobeams using semi-analytical differential transform method", Composites Part B: Engineering, 79,156-169.
DOI
|
29 |
Eigoli, A.K. and Ahmadian, M. (2011), "Nonlinear vibration of beams under nonideal boundary conditions", Acta Mechanica, 218(3-4), 259-267.
DOI
|
30 |
Ekici, H.O. and Boyaci, H. (2007), "Effects of non-ideal boundary conditions on vibrations of microbeams", J. Vib.Control, 13(9-10), 1369-1378.
DOI
|
31 |
Eringen, A.C. (2002), Nonlocal continuum field theories: Springer Science & Business Media.
|
32 |
Eringen, A.C. and Edelen, D. (1972), "On nonlocal elasticity", Int. J. Eng. Sci., 10(3), 233-248.
DOI
|
33 |
Hamidi, A., Houari, M.S.A., Mahmoud, S. 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., 18(1), 235-253.
DOI
|
34 |
Hebali, H., Tounsi, A., Houari, M.S.A., Bessaim, A. and Bedia, E.A.A. (2014), "New quasi-3D hyperbolic shear deformation theory for the static and free vibration analysis of functionally graded plates", J. Eng. Mech. - ASCE, 140(2), 374-383.
DOI
|
35 |
Mahmoud, S., Chaht, F.L., Kaci, A., Houari, M.S.A., Tounsi, A. and Beg, O.A. (2015), "Bending and buckling analyses of functionally graded material (FGM) size-dependent nanoscale beams including the thickness stretching effect", Steel Compos. Struct., 18(2), 425.
DOI
|
36 |
Pakdemirli, M. and Boyac, H. (2003), "Non-linear vibrations of a simple-simple beam with a non-ideal support in between", J. Sound Vib., 268(2), 331-341.
DOI
|
37 |
Malekzadeh, K., Khalili, S. and Abbaspour, P. (2010), "Vibration of non-ideal simply supported laminated plate on an elastic foundation subjected to in-plane stresses", Compos. Struct., 92(6), 1478-1484.
DOI
|
38 |
Murmu, T. and Pradhan, S. (2009), "Thermo-mechanical vibration of a single-walled carbon nanotube embedded in an elastic medium based on nonlocal elasticity theory", Comput. Mater. Sci., 46(4), 854-859.
DOI
|
39 |
Pakdemirli, M. and Boyac, H. (2001), "Vibrations of a stretched beam with non-ideal boundary", Math. Comput. Appl., 6(3), 217-220.
|
40 |
Peddieson, J., Buchanan, G.R. and McNitt, R.P. (2003), "Application of nonlocal continuum models to nanotechnology", Int. J. Eng. Sci., 41(3), 305-312.
DOI
|
41 |
Pradhan, S. and Reddy, G. (2011), "Thermo mechanical buckling analysis of carbon nanotubes on winkler foundation using non-local elasticity theory and DTM", Sadhana, 36(6), 1009-1019.
DOI
|
42 |
Reddy, J. (2007), "Nonlocal theories for bending, buckling and vibration of beams", I Int. J. Eng. Sci., 45(2), 288-307.
DOI
|
43 |
Sari, G. and Pakdemirli, M. (2012), "Effects of non-ideal boundary conditions on the vibrations of a slightly curved micro beam. Paper presented at the 9th international conference on mathematical problems in engineering, aerospace and sciences: ICNPAA 2012.
|
44 |
Thai, H.T. (2012), "A nonlocal beam theory for bending, buckling, and vibration of nanobeams", Int. J. Eng. Sci., 52, 56-64.
DOI
|