The strain gradient approach to predict necking in tube hydroforming

A stress-based forming limit diagram for necking prediction which is based on the strain gradient theory of plasticity in conjunction with the M–K model has been represented and used in tube hydroforming. In this study, the finite element model for bulge forming of straight tube has been constructed and verified with published experimental data. The adaptive simulation technique is based on the ability to detect the onset and growth of defects (e.g., wrinkling, and bursting) and to promptly readjust the loading paths. Thus, a suitable load path has been obtained by applying Adaptive Simulation Method in ANSYS Parametric Design Language (APDL).