Calibration of the analytical nonlocal shell model for vibrations of double-walled carbon nanotubes with arbitrary boundary conditions using molecular dynamics

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A review on the mechanics of nanostructures (2018, background): “[300-302], BNNTs [303], piezoelectric nanotubes [304, 305] and magneto-electro-elastic nanotubes [306, 307].”
Vibration response of double-walled carbon nanotubes subjected to an externally applied longitudinal magnetic field: A nonlocal elasticity approach (2012, methodology): “Ansari and coworkers [43,44] used various nonlocal beams and shell theories for studying free vibration response of single-walled and double-walled carbon nanotubes (SWCNTs, DWCNTs) and compared with molecular dynamic simulation.”
The size-dependent vibration of embedded magneto-electro-elastic cylindrical nanoshells (2014, unknown): “It should be pointed out that many investigators have computed the nonlocal parameter for carbon nanotubes by using the molecular dynamics, the Born–Karman model of lattice dynamics and microstructured beam model (Wang and Wang 2007, Duan et al 2007, Ansari et al 2011, Wang et al 2013).”
In-plane magnetic field affected transverse vibration of embedded single-layer graphene sheets using equivalent nonlocal elasticity approach (2013, background): “The application of nonlocal elasticity in the mechanical analysis of nanostructures is highly reported in the literature [33,36–49].”