Assessment of the models for predicting the responses of spherical objects in viscoelastic mediums and at viscoelastic interfaces

Spherical objects, such as bubbles and spheres, embedded in mediums and at viscoelastic interfaces are encountered in many applications, including the determination of material properties. This paper assesses the models for predicting the responses of spherical objects in viscoelastic mediums and at viscoelastic interfaces used in various applications. The models are presented very compactly, and evaluations are performed based on the analyses of the models for the spherical objects in viscoelastic mediums and at viscoelastic interfaces. First, the models for predicting the static displacements of spherical objects are presented and assessed. After that, the models for predicting the dynamic responses of spherical objects are presented and their dynamic behaviours are compared. Then, the models for the deformation of the medium around spherical objects and stress distribution are presented and evaluated. The models and evaluations presented in this study can be exploited in various applications, including biomedical applications