ABSTRACT
This work deals with the wave dispersion characteristics of nanobeams considering thickness stretching effect under the influence of hygrothermal environment. The effect of initial stress is also analyzed. Since the displacements in the thickness direction are approximated as a parabolic function satisfying the upper and lower stress-free boundary conditions, this theory can account for both transverse-shear deformation and stretching effects. To capture the size-dependent effects, a high-order nonlocal strain gradient elasticity theory involving three small-scale coefficients is used. The governing equations of wave motion are obtained through Hamiltonian principle, and an analytic technique is applied for finding the wave frequencies as well as phase velocities. The influences of small-scale parameters, initial stress, hygrothermal environment, elastic foundation, and wave number on the wave characteristics of nanobeams are investigated.
Disclosure statement
No potential conflict of interest was reported by the authors.