Collision of Two Spherical Shells, Fractional Operator Models

Synonyms

Fractional derivative standard linear solid model; Impact of one shell against the other

Definitions

In the present entry, the collision of two viscoelastic spherical shells is investigated using the wave theory of impact. The solution in the contact domain is found via the modified Hertz contact theory involving the operator representation of viscoelastic analogs of Young’s modulus and Poisson’s ratio.

Background

The problems connected with the analysis of the shock interaction of thin bodies (rods, beams, plates, and shells) with other bodies have widespread application in various fields of science and technology. The physical phenomena involved in the impact event include structural responses, contact effects, and wave propagation (Rossikhin and Shitikova, 2007a). These problems are topical not only from the point of view of fundamental research in applied mechanics but also with respect to their applications.

In many engineering applications, it is important to understand...