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  Tension
Compression Neutral Axis
  Fig. 3—The three zones in a static bend or bend/ straighten deforma- tion. Failures occur at the tension zone surface.
because there is no tensile stretch during pure bending. However, the material still workhardens. The reduction in n- value drastically reduces the ability of the lower zone to be straightened. Very little inner stretching will initiate fracture. The ratio of the radius to thickness controls the severity of the bend (graph). Increases in total elongation (more stretcha- bility) lead to decreases in r/t ratio before fracture.
Cup Draw
During cup drawing (deep drawing), a circular blank is drawn into a cavity by a flat-bottom punch. Material prop- erties do not seem to play a major role when compared to the stretch and bend forming modes. To test formability, we draw a blank with a given diameter into the die cavity to form a cup. If no failure occurs, we divide blank diameter by punch diameter to generate a draw ratio.
To fully test the tool design, we increase the blank diameter until the cup tears. At this point we reach the limiting draw ratio (LDR). Numerous tests of different materials with the same tool-
ing have shown an LDR range of 2.1 to 2.2. This narrow test range suggests that cup drawing is independent of material properties. As proof, several decades ago metalformers regularly formed two-piece beer cans from steel blanks. The sequence of forming: draw a blank into a cup, transfer the cup to a sec- ond press for a redraw operation to a smaller diameter but greater height, and then draw the cup through three stages of ironing to thin the wall and increase its height. These forming processes succeeded because all of the deformation was compressive. However, the confirming test was with Type DR-9 steel, a tin mill product. The steel was cold-rolled, annealed and then cold-rolled a second time to reduce thickness by 35 percent and reach the required thickness. The steel was “full-hard” but was formed without failures because the forming mode was compressive. However, any subse- quent cup deformation that would have required a tensile stress would have caused the can to fail. MF
The Science of Forming
  Forming Mode
 Stretch
 Bend
 Cup Draw
 Key Property
 n-value
 Total elongation
 Negligible property influence
 Severity Measure
 Forming limit curve and gradients
 Radius to thickness ratio
 Limiting draw ratio (LDR)
 Precision Metalforming Association/MetalForming magazine
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