Mathematical Modeling of the Technological Process of Residual Stresses Relief in Metals at Low-Temperature Exposure

Abstract

Low-temperature technological process of residual stresses relief in metals is modeled. The paper presents the mode of a slow heating stage, holding stage at a constant temperature and slow cooling stage. The holding stage is simulated with creeping properties of materials. Boundary problems are examined and patterns that are responsible for the removal of residual stresses are described. In Norton creep conditions we obtained analytical solutions.

Relieving of Residual Stresses in Metal Workpieces at High and Low Temperatures

“…On the basis of Eq. 1-2, as in [6,7], the residual stresses were calculated [8]. A necessary condition was the static determinability of the plastic flow process [12,13].…”

“…In this article, within the framework of solid mechanics, the process of removing residual stresses in metal workpieces under low-temperature [6] and high-temperature action [7] is modeled. Boundary-value problems are examined and here are described (using the example of a hollow sphere with previously accumulated irreversible deformations [8]) regularities which are responsible for removing residual stresses for processing modes: high-temperature heatingcooling, high-temperature heating -holding -cooling, low-temperature heating -holding -cooling.…”