Thermo-mechanical vibration analysis of nonlocal temperature-dependent FG nanobeams with various boundary conditions

Nonlinear analysis of forced vibration of nonlocal third-order shear deformable beam model of magneto–electro–thermo elastic nanobeams

“…3 effects of different nanostructures such as nanowires and nanorods [23][24][25], single-and multi-walled carbon nanotubes [26][27][28][29], graphene sheets and nanoplates [30][31][32][33], mass sensors [34], nano-peapods [35], nanobeams [36,37] and so forth. The nonlocal elasticity theory has been also employed to explore the size-dependent mechanical behavior of piezoelectric nanostructures [38][39][40].…”

“…where S ξ symbolizes the integral matrix operator extracted based on the differential quadrature and Taylor series in the domain ሾߦ ଵ , … , ߦ ே ሿ as follows (36) in which …”

A nonlinear mechanical model for the fatigue life of thin-film carbon nanotube supercapacitors

“…In the literature, various theories have been proposed to describe damage evolution in composites embedding different types of inclusions, including CNTs [4,5,6,7,8,9,10]. The literature on linear and nonlinear models of carbon nanotube nanocomposite materials employed for micronano plates or beams is wide and covers diverse fields such as homogenization [14], gradient/nonlocal elasticity [16,17,18,19], elasto-plasticity [20].…”

Modified continuum model for stability analysis of asymmetric FGM double-sided NEMS: Corrections due to finite conductivity, surface energy and nonlocal effect

“…Ebrahimi and Salari [32] employed the nonlocal Euler-Bernoulli beam theory for vibration analysis of functionally graded (FG) size-dependent nanobeams by using Navier-based analytical method and investigated the effects of systems parameters on the normalized natural frequencies of the FG nanobeams. In another research [33] they studied the thermal effect on free vibration characteristics of functionally graded (FG) size-dependent nanobeams subjected to an in-plane thermal loading using the same method of solution.…”