Stress propagation in a two-dimensional elastic hollow disk under diametric loads

Abstract

The study of stress characteristics in elastic bodies can help explain the deformation and fracture processes of objects. It is used to assess, design, and improve the safety and durability of structures such as bridges and skyscrapers. Often objects have voids in their interior. The actual internal stress distribution differs from the theoretical solutions of solid objects. Therefore, we study the elastic body with a cavity. In this talk, in order to study the behavior and characteristics of the internal stress propagation in an elastic hollow disk, we investigate the stress propagation in a disk with a hole in its interior when a counter concentrated load is applied. In particular, we observe the long time limits of the solutions using the final value theorem of the Laplace transformation, as it plays a crucial role in the description of the material and makes it easy to understand.