Effect of dissipative processes on the near-surface inhomogeneity of a hollow cylinder

Abstract

We formulate the basic relations of a mathematical model of mechanics of elastic deformable systems that describes the formation of a near-surface inhomogeneity caused by both the process of local mass displacement and dissipative processes. On this basis, we solve the problem of the stationary stressstrain state of an infinite hollow cylinder. It is shown that the near-surface inhomogeneity of the distribution of stresses and chemical potential is characterized by two parameters. One of them is related to the local mass displacement, and the other is a consequence of dissipative processes in the body.