Large deformation pure bending of an elastic plastic power-law-hardening wide plate: Analysis and application

The large deformation pure bending of a wide plate made of a power-law-hardening material is solved. The deformation theory, the flow theory with either isotropic hardening or kinematic hardening, and the shell theory (which ignores the transverse stress) have been used in the respective analyses and their results have been compared. The solutions reveal that large curvature bending can result in a significant thickness reduction of the bent plate, and therefore the non-dimensional bending moment initially increases with the non-dimensional bending curvature, reaches a peak point, and then drops with the further increment of the non-dimensional bending curvature. When a metallic honeycomb is in-plane crushed, the maximum non-dimensional bending curvature in the cell walls (plates) can well exceed 1.5, the external energy is mainly absorbed by the plastic-hinges whose size is within the order of the cell wall (plate) thickness.