On the Sequential Change in the Mechanisms of Production of Large Irreversible Deformations

• Published in: Mechanics of solids 2021-09, Vol.56 (7), p.1352-1362
• Main Authors: Begun, A. S., Burenin, A. A., Kovtanyuk, L. V., Prokudin, A. N.
• Format: Article
• Language: English
• Subjects: Classical Mechanics; Deformation; Differential equations; Elastoplasticity; Mathematical analysis; Physics; Physics and Astronomy; Plastic flow; Process parameters
• ISSN: 0025-6544; 1934-7936
• DOI: 10.3103/S0025654421070074

In this paper, following the formalism of thermodynamics, reversible and irreversible components of total deformations are accepted as thermodynamic parameters of state of the deformation process. They are defined by formulating the appropriate differential equations of change (transfer equations), whose flow terms determine the mutual influence of these thermodynamic parameters during the process of deformation. In the transfer equation, the source is determined by two mechanisms producing irreversible deformations: viscous (creep) and plastic (plastic flow). The mechanism of production of irreversible deformations changes at the elastoplastic boundaries from viscous to plastic, and vice versa during the unloading. Irreversible deformations are not divided into creep and plastic flow deformations; the achieved values of the former become the initial values for the subsequent growth of the latter in new plastic flow conditions. When unloaded, the change occurs in the reverse order. The problem of growth of irreversible deformations in conditions of viscometric deformation of a cylindrical layer is considered as an example.