Abstract
This study aims to study the radial wave dispersion of anisotropic solid sphere. In order to include the size-dependent effects, the nonlocal strain gradient theory in conjunction with three dimensional (3D) elasticity theory is used. This model presents both stiffness softening and hardening mechanisms of nanostructures using a nonlocal stress field parameter and also a strain gradient length scale parameter. The nanoparticles are made of different crystallinity (i.e. gold, beryllium oxide, rutile, and hematite), while the equations of wave motion are obtained based on mentioned theories in which an analytic technique is utilized to find the wave frequency, phase velocity and group velocity as a function of wave number. The reliability of present approach is verified for radial vibration by comparing obtained results with those provided in literature. It is demonstrated that, radius of nanoparticle, small-scale parameters, wave number, and crystallinity of nanoparticle have a remarkable effect on radial wave characteristics of anisotropic solid sphere. In addition, the possibility of replacing an anisotropic model with isotropic ones is studied.
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