Numerical and failure analysis on the drawing of a circular cylindrical cup

✍ Scribed by C.K. Chao; C.H. Liu; H.J. Wu

• Publisher: Elsevier Science
• Year: 1993
• Tongue: English
• Weight: 823 KB
• Volume: 45
• Category: Article
• ISSN: 0013-7944
• DOI: 10.1016/0013-7944(93)90251-m

✦ Synopsis

The incremental theory of plasticity is applied in conjunction with finite elements for modeling of the circular cylindrical cup. A punch/die system is prescribed such that a circular blank is displaced at constant increments of 0.005 mm until a cup 16 mm deep is formed. Based on the strain energy density failure criterion, failure initiation accompanied by large dilatation is located by the maximum of the minimum local strain energy density function, (d W/d V):;, while yielding initiation accompanied by large distortion is located by the maximum of the maximum strain energy density function, (d W/dV)z;. For a punch displacement of 16 mm, (d W/d V)zr; is near the critical value (d W/d V),. of the metal sheet which suggests the possibility of fracture initiation. The influence of material drawability and punch movement on the rate of cup formation could be evaluated from analytical simulation of the deep drawing process. Computer software developed in the present study can also be applied to evaluate the drawing characteristics of non-axisymmetric cups.