Deformation analysis and blank design in square cup drawing

• Published in: International journal of machine tool design & research Vol. 25; no. 1; pp. 15 - 32
• Main Authors: Toh, C.H., Kobayashi, Shiro
• Format: Journal Article
• Language: English
• Published: Elsevier B.V 1985
• ISSN: 0020-7357
• DOI: 10.1016/0020-7357(85)90054-X

A finite-element procedure is developed for modeling of the square cup drawing process based on finite strain formulation and membrane theory. The sheet material was assumed to obey Hill's anisotropic yield criterion and its associated flow rule. The workhardening characteristics of the material and Coulomb friction between the sheet metal and forming tools were incorporated into the simulations. Computed results with a square blank for the strain distributions were found to be consistent experimental data. Solutions were also obtained for various blank shapes with identical surface areas. Good correlations were found between the finite-element predictions and experiments for load-displacement curves and deformed-flange configurations. Based on the finite-element results of net material flow during the deformaion, an optimum blank shape was determined. Using this optimum blank shape, both the finite-element simulation and cup drawing experiment were performed and it was shown that a cup with the flange of uniform size around its periphery was obtained at a predetermined cup height.