Plane strain pure bending of sheets with damage evolution at large strains

An analysis of plane-strain bending at large strains for the rigid/plastic incompressible material model including arbitrary strain-hardening and damage evolution laws is performed. The fracture criterion is based on a critical value of the damage parameter. Numerical treatment is reduced to the system of two partial differential equations written in characteristic coordinates. The through-thickness distribution of the principal stresses and damage parameter as well as the variation of the bending moment with the radius of curvature of the concave surface are found for Swift’s hardening law and one specific damage evolution law. General tendencies in solution behaviour are in agreement with physical expectations.