Plastic forming processes of transverse non-homogeneous composite metallic sheets

• Main Author: Davidi Gal
• Format: Article
• Language: English
• Published: De Gruyter 2021-01-01
• Series: Open Engineering
• Subjects: plastic forming process; algebraic differential equation; sheet forming
• Online Access: https://doi.org/10.1515/eng-2021-0029

In this work an analysis of the radial stress and velocity fields is performed according to the J2 flow theory for a rigid/perfectly plastic material. The flow field is used to simulate the forming processes of sheets. The significant achievement of this paper is the generalization of the work by Nadai & Hill for homogenous material in the sense of its yield stress, to a material with general transverse non-homogeneity. In Addition, a special un-coupled form of the system of equations is obtained where the task of solving it reduces to the solution of a single non-linear algebraic differential equation for the shear stress. A semi-analytical solution is attained solving numerically this equation and the rest of the stresses term together with the velocity field is calculated analytically. As a case study a tri-layered symmetrical sheet is chosen for two configurations: soft inner core and hard coating, hard inner core and soft coating.