Comparison of Through-Thickness Damage Distributions in Sheets in Bending under Tension Predicted by Several Empirical Ductile Fracture Criteria

This paper develops a method for calculating the throughthickness distribution of damage parameters in plane-strain bending under tension, employing uncoupled damage mechanics models. The material is supposed to be elastic/plastic, strain hardening. No restrictions are imposed on the strain hardening law. Also, no restriction is imposed on the damage evolution law. The solution is facilitated by using a Lagrangian coordinate system. Specific calculations are provided for several widely used damage evolution laws. The solution found can be used to identify damage evolution laws with no finite element analysis, which is a great advantage for the damage evolution laws involving several constitutive parameters. © 2024 IEEE.