Nonlocal piezoelasticity based wave propagation of bonded double-piezoelectric nanobeam-systems

Ansari, R., Arash, B., Rouhi, H.: Vibration characteristics of embedded multi-layered graphene sheets with different boundary conditions via nonlocal elasticity. Compos. Struct. 93, 2419–2429 (2011)

Aydogdu, M., Filiz, S.: Modeling carbon nanotube-based mass sensors using axial vibration and nonlocal elasticity. Physica E 43, 1229–1234 (2011)

Aydogdu, M.: A general nonlocal beam theory: its application to nanobeam bending, buckling and vibration. Physica E 4, 1651–1655 (2006)

Civalek, Ö., Demir, Ç.: Bending analysis of microtubules using nonlocal Euler–Bernoulli beam theory. Appl. Math. Model. 35, 2053–2067 (2011)

Dong, K., Zhu, S.Q., Wang, X.: Wave propagation in multiwall carbon nanotubes embedded in a matrix material. Compos. Struct. 82, 1–9 (2006)

Eringen, A.C.: Nonlocal polar elastic continua. Int. J. Eng. Sci. 10, 1–16 (1972)

Eringen, A.C.: On differential equations of nonlocal elasticity and solutions of screw dislocation and surface waves. J. Appl. Phys. 54, 4703–4710 (1983)

Ghorbanpour Arani, A., Mosallaie Barzoki, A.A., Kolahchi, R., Loghman, A.: Pasternak foundation effect on the axial and torsional waves propagation in embedded DWCNTs using nonlocal elasticity cylindrical shell theory. J. Mech. Sci. Technol. 25, 2385–2391 (2011a)

Ghorbanpour Arani, A., Kolahchi, R., Mosallaie Barzoki, A.A.: Effect of material in-homogeneity on electro-thermo-mechanical behaviors of functionally graded piezoelectric rotating shaft. Appl. Math. Model. 35, 2771–2789 (2011b)

Ghorbanpour Arani, A., Atabakhshian, V., Loghman, A., Shajari, A.R., Amir, S.: Nonlinear vibration of embedded SWBNNTs based on nonlocal Timoshenko beam theory using DQ method. Physica B 407, 2549–2555 (2012a)

Ghorbanpour Arani, A., Kolahchi, R., Vossough, H.: Buckling analysis and smart control of SLGS using elastically coupled PVDF nanoplate based on the nonlocal Mindlin plate theory. Physica B 407, 4458–4465 (2012b)

Heireche, H., Tounsi, A., Benzair, A., Maachou, M., Adda Bedia, E.A.: Sound wave propagation in single-walled carbon nanotubes using nonlocal elasticity. Physica E 40, 2791–2799 (2008)

Ke, L.L., Wang, Y.S., Wang, ZhD: Nonlinear vibration of the piezoelectric nanobeams based on the nonlocal theory. Compos. Struct. 94, 2038–2047 (2012)

Ke, L.L., Xiang, Y., Yang, J., Kitipornchai, S.: Nonlinear free vibration of embedded double-walled carbon nanotubes based on nonlocal Timoshenko beam theory. Comput. Mater. Sci. 47, 409–417 (2009)

Kiani, K.: Free longitudinal vibration of tapered nanowires in the context of nonlocal continuum theory via a perturbation technique. Physica E 43, 387–397 (2010)

Kuang, Y.D., He, X.Q., Chen, C.Y., Li, G.Q.: Analysis of nonlinear vibrations of double walled carbon nanotubes conveying fluid. Comput. Mater. Sci. 45, 875–880 (2009)

Narendar, S., Gopalakrishnan, S.: Nonlocal scale effects on wave propagation in multi-walled carbon nanotubes. Comput. Mater. Sci. 47, 526–538 (2009)

Narendar, S.: Buckling analysis of micro-/nano-scale plates based on two-variable refined plate theory incorporating nonlocal scale effects. Compos. Struct. 93, 3093–3103 (2011)

Pradhan, S.C., Kumar, A.: Vibration analysis of orthotropic graphene sheets using nonlocal elasticity theory and differential quadrature method. Compos. Struct. 93, 774–779 (2011)

Pradhan, S.C., Murmu, T.: Small scale effect on the buckling analysis of single-layered graphene sheet embedded in an elastic medium based on nonlocal plate theory. Physica E 42, 1293–1301 (2010)

Reddy, J.N.: Nonlocal theories for bending, buckling and vibration of beams. Int. J. Eng. Sci. 45, 288–307 (2007)

Setoodeh, A.R., Khosrownejad, M., Malekzadeh, P.: Exact nonlocal solution for postbuckling of single-walled carbon nanotubes. Physica E 43, 1730–1737 (2011)

Shen, H.S., Zhang, C.L.: Torsional buckling and postbuckling of double-walled carbon nanotubes by nonlocal shear deformable shell model. Compos. Struct. 92, 1073–1084 (2010)

Shen, L., Shen, H.S., Zhang, C.L.: Nonlocal plate model for nonlinear vibration of single layer graphene sheets in thermal environments. Comput. Mater. Sci. 48, 680–685 (2010)

Wang, L.: Wave propagation of fluid-conveying single-walled carbon nanotubes via gradient elasticity theory. Comput. Mater. Sci. 49, 761–766 (2010)

Wang, Q., Varadan, V.K.: Application of nonlocal elastic shell theory in wave propagation analysis of carbon nanotubes. Smart Mater. Struct. 16, 178–190 (2007)

Wu, J.X., Li, X.F., Tang, G.J.: Bending wave propagation of carbon nanotubes in a bi-parameter elastic matrix. Physica B 407, 684–688 (2011)

Xie, G.Q., Han, X., Liu, G.R.: Effect of small size-scale on the radial buckling pressure of a simply supported multi-walled carbon nanotube. Smart Mater. Struct. 15, 1143–1149 (2006)

Yang, J., Ke, L.L., Kitipornchai, S.: Nonlinear free vibration of single-walled carbon nanotubes using nonlocal Timoshenko beam theory. Physica E 42, 1727–1735 (2010)

Yan, Z., Jiang, L.Y.: The vibrational and buckling behaviors of piezoelectric nanobeams with surface effects. Nanotechnology 22, 245703 (2011)