Exact elastoplastic analysis of a rotating cylinder with a rigid inclusion under mechanical loading and unloading

• Published in: Zeitschrift für angewandte Mathematik und Mechanik 2020-03, Vol.100 (3), p.n/a
• Main Author: Prokudin, A. N.
• Format: Article
• Language: English
• Subjects: Elastoplasticity; exact solution; Exact solutions; Plane strain; Plastic deformation; Plastic flow; rigid inclusion; rotating cylinder; Rotating cylinders; Rotation; Strain analysis; stress analysis; Tresca's criterion
• ISSN: 0044-2267; 1521-4001
• DOI: 10.1002/zamm.201900213

An elastoplastic rotating cylinder with a rigid inclusion under plane strain condition is investigated. The analysis is based on infinitesimal strain theory, Tresca's yield condition, and its associated flow rule and perfectly plastic material behavior. Both loading and unloading are considered. It is established that secondary plastic flow may occur during unloading after a previous rotation, and the exact solutions for all stages of deformation are obtained. The results are illustrated by the distributions of the displacement, stress and plastic strain in a cylinder rotating at different speeds. An elastoplastic rotating cylinder with a rigid inclusion under plane strain condition is investigated. The analysis is based on infinitesimal strain theory, Tresca's yield condition, and its associated flow rule and perfectly plastic material behavior. Both loading and unloading are considered. It is established that secondary plastic flow may occur during unloading after a previous rotation, and the exact solutions for all stages of deformation are obtained. The results are illustrated by the distributions of the displacement, stress and plastic strain in a cylinder rotating at different speeds.