Through-thickness damage distribution in sheet bending employing the workability diagram

Abstract

A semi-analytical solution is constructed to determine the through-thickness distribution of the average stress triaxiality parameter included in the ductile fracture criterion in sheet bending under the action of a bending moment and tensile force. It is assumed that the condition of the sheet is plain-strain. The sheet material is elastic-plastic, and the uniaxial yield stress is an arbitrary function of the equivalent plastic strain. The solution allows for predicting the occurrence of plastic fracture and the distribution of the degree of use of the plasticity reserve over the sheet thickness.

Keywords

• damage
• workability diagram
• bending under tension
• semi-analytical solution