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102. Zhang, Y.Q., Liu, G.R., Xie, X.Y.: Free transverse vibrations of double-walled carbon nanotubes using a theory of nonlocal elasticity. Phys. Rev. B. 71, 195404–7 (2005)
103. Wang, Q., Varadan, V.K., Quek, S.T.: Small scale effect on elastic buckling of carbon nanotubes with nonlocal continuum models. Phys. Lett. A. 357, 130–135 (2006)
104. Aydogdu, M.: Axial vibration of the nanorods with the nonlocal continuum rod model. Phys.
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61
79. Wang, Q., Wang, C.M.: The constitutive relation and small scale parameter of nonlocal continuum mechanics for modelling carbon nanotubes. Nanotechnology 18, 075702–4 (2007)
80. Norouzzadeh, A., Ansari, R., Rouhi, H.: Pre-buckling responses of Timoshenko nanobeams
based on the integral and differential models of nonlocal elasticity: an isogeometric approach.
Appl. Phys. A. 123, 330–341 (2017)
81. Norouzzadeh, A., Ansari, R.: Finite element analysis of nano-scale Timoshenko beams using
the integral model of nonlocal elasticity. Phys E. 88, 194–200 (2017)
82. Fernandez-Saez, J., Zaera, R., Loya, J.A., Reddy, J.N.: Bending of Euler Bernoulli beams using
Eringen’s integral formulation: A paradox resolved. Int. J. Eng. Sci. 99, 107–116 (2016)
83. Challamel, N., Wang, C.M.: The small length scale effect for a non-local cantilever beam: a
paradox solved. Nanotech. 19, 345703 (2008)
84. Mindlin, R.D., Tiersten, H.F.: Effects of couple-stresses in linear elasticity. Arch. Ration.
Mech. Anal. 11, 415–448 (1962)
85. Dehrouyeh-Semnani, A.M., Nikkhah-Bahrami, M.: A discussion on evaluation of material
length scale parameter based on micro-cantilever test. Compos. Struct. 122, 425–429 (2015)
86. Khajueenejad, F., Ghanbari, J.: Internal length parameter and buckling analysis of carbon
nanotubes using modified couple stress theory and Timoshenko beam model. Mater. Res.
Exp. 2, 105009–10 (2015)
87. Cammarata, R.C.: Surface and interface stress effects in thin films. Prog. Surf. Sci. 46, 1–38
(1994)
88. Thomson, R., Chuang, T.-J., Lin, I.-H.: The role of surface stress in fracture. Acta Metall. 34,
1133–1143 (1986)
89. Maugis, D.: Contact, Adhesion, and Rupture of Elastic Solids. Springer, Berlin (2000)
90. Shuttleworth, R.: The surface tension of solids. Proc. Phys. Soc. A 63, 444–457 (1950)
91. Herring, C.: Some theorems on the free energies of crystal surfaces. Phys. Rev. 82, 87–93
(1951)
92. Nix, W.D., Gao, H.: An atomistic interpretation of interface stress. Scr. Mater. 39, 1653–1661
(1998)
93. Spaepen, F.: Interfaces and stresses in thin films. Acta Mater. 48, 31–42 (2000)
94. Gurtin, M.E., Murdoch, A.I.: Surface stress in solids. Int. J. Solids Struct. 14, 431–440 (1978)
95. Steigmann, D.J., Ogden, R.W.: Plane deformation of elastic solids with intrinsic boundary
elasticity. Proc. R. Soc. A 453, 853–877 (1997)
96. Steigmann, D.J., Ogden, R.W.: Elastic surface-substrate interactions. Proc. R. Soc. A 455,
437–474 (1999)
97. Wang, G.F., Feng, X.Q.: Effects of surface stresses on contact problems at nanoscale. J. Appl.
Phys. 101, 013510-1–013510-6 (2007)
98. Zhao, X.J., Rajapakse, R.K.N.D.: Analytical solutions for a surface-loaded isotropic elastic
layer with surface energy effects. Int. J. Eng. Sci. 47, 1433–1444 (2009)
99. Shenoy, V.B.: Atomistic calculations of elastic properties of metallic fcc crystal surfaces.
Phys. Rev. B 71, 094104-1–094104-11 (2005)
100. Peddieson, J., Buchanan, G.R., McNitt, R.P.: Application of nonlocal continuum models to
nanotechnology. Int. J. Eng. Sci. 41, 305–312 (2003)
101. Sudak, L.J.: Column buckling of multiwalled carbon nanotubes using nonlocal continuum
mechanics. J. Appl. Phys. 94, 7281–7287 (2003)
102. Zhang, Y.Q., Liu, G.R., Xie, X.Y.: Free transverse vibrations of double-walled carbon nanotubes using a theory of nonlocal elasticity. Phys. Rev. B. 71, 195404–7 (2005)
103. Wang, Q., Varadan, V.K., Quek, S.T.: Small scale effect on elastic buckling of carbon nanotubes with nonlocal continuum models. Phys. Lett. A. 357, 130–135 (2006)
104. Aydogdu, M.: Axial vibration of the nanorods with the nonlocal continuum rod model. Phys.
E. 41, 861–864 (2009)
105. Murmu, T., Pradhan, S.C.: Thermo-mechanical vibration of a single walled carbon nanotube
embedded in an elastic medium based on nonlocal elasticity theory. Comput. Mater. Sci. 46,
854–859 (2009)