This article is cited in 1 paper

Elastic-plastic torsion of a multilayer rod

S. I. Senashov, I. L. Savostyanova

M. F. Reshetnev Siberian State Aerospace University,

Abstract: The authors investigate the elastic-plastic torsion of a multilayer rod in this article. According to the condition of the problem, the rod consists of several layers. The elastic properties of the layers are different, but the plasticity coefficient of all layers is the same. For simplicity, the article considers a rod consisting of three layers. The contact boundaries of the layers are parallel . The lateral boundary of the rod is stress-free, stresses and displacements are continuous at the interface of the layers. The authors constructed conservation laws that made it possible to calculate the components of the stress tensor using contour integrals along the boundary of the layers. At all points, the second invariant of the stress tensor is compared with the yield strength. At those points where the yield strength is reached with a pure shear, a plastic state is realized, in the rest – elastic. As a result of solving the problem, it is possible to construct a boundary between the plastic and elastic regions. This method makes it possible to construct elastic-plastic boundaries for rods of various profiles. The authors will do this in subsequent publications.

Keywords: elastic-plastic torsion, multilayer rod, conservation laws.

Received: 05.07.2023
Revised: 26.12.2023
Accepted: 20.11.2023

DOI: 10.37972/chgpu.2023.56.2.003