Numerical verification of the existence of localization of the elastic energy for closely spaced rigid disks

Abstract

The problem of determining the thermomechanical characteristics of the system of closely spaced bodies considered by many authors. For scalar problems, such as problems of heat, electrostatic, etc., the localization effect was found (so called Tamm's shielding effect), which consists in the fact that in a system of closely spaced highly conductive bodies, most energy is localized in the region between adjacent bodies. We can assume that the localization of energy is a general property of closely spaced bodies. The aim is to study the effect of localization of energy in a system of closely spaced rigid bodies in an elastic medium.