Abstract
The paper describes an interactive computer aided analysis system for the simulation of the axisymmetric deep drawing process. The formulation is essentially based on the work of Woo; more emphasis, however, has been placed on the effect of the process and material variables such as the type of press (single-action with air or hydraulic cushions, double-action and hydraulic presses), tooling geometry, anisotropy, etc.
The material is assumed to be a rigid, strain hardening, anisotropic solid, and to obey the von Mises yield criterion. The present analysis is based on a membrane formulation, but accounts for the thinning due to bending under tension, in the manner of Swift.
The computer program is intended for the tooling and stamping industry. For a given set of process and material variables, the program CUPDRW calculates, at each movement of punch travel, the stresses and strains in each region of the deforming cup.
The program also evaluates the inner ram load, the outer ram load, and the total press tonnage. In addition, the program plots the thickness strain and thickness distribution in the final part, and based on these would calculate the part depth.
There is nothing new in the formulation, With the exception of modeling the blank holder conditions and the inclusion of thinning due to bending. Inputs to the program are easily executed and the numerical aspects are completely transparent to the user. A typical run using 300 ring elements in 18 steps of calculations would be 2–3 min on the 386-based machines.
CUPDRW has proved to be a good production and educational tool. CUPDRW provides the designer with quantitative insight as to the consequence of certain design decisions; such as changes in tool geometry, material properties, and the type of blank holder cycle.
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Karima, M., Sowerby, R. A PC based computer aided analysis system for the cup drawing process. J. Mater. Shaping Technol. 6, 113–124 (1988). https://doi.org/10.1007/BF02834826
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DOI: https://doi.org/10.1007/BF02834826