Asymptotic stability analysis for sheet metal forming - Part II: Application

The general asymptotic method proposed in Part I is applied to the investig ation of the puckering instability in the hemispherical cup test. Both a me mbrane and a shell stress state for the principal axisymmetric solution hav e been considered. Due to the possibility of strong deviations from proport ional loading in some cases, a corner theory of plasticity is also employed , in addition to the standard J(2) deformation theory which is often used i n plastic buckling calculations. Results are compared to a previous experim ental investigation for brass specimens. [S0021-8936(00)00804-1].