1. Chapter 17 Sheet Forming Processes (Part 2: Drawing & Stretching) (Review) EIN 3390 Manufacturing Processes Summer A, 2012

2. 17.4 Drawing and Stretching Processes Drawing refers to the family of operations where plastic flow occurs over a curved axis and the flat sheet is formed into a three-dimensional part with a depth more than several times the thickness of the metal Application: a wide range of shapes, from cups to large automobile and aerospace panels.

3. 17.4 Drawing and Stretching Processes Types of Drawing and Stretching Spinning Shear forming or flow turning Stretch forming Deep drawing and shallow drawing Rubber-tool forming Sheet hydroforming Tube hydroforming Hot drawing High-energy-rate forming Ironing Embossing Superplastic sheet forming

4. 17.4 Spinning Spinning is a cold forming operation ◦Sheet metal is rotated and progressively shaped over a male form, or mandrel ◦Produces rotationally symmetrical shapes  Cones, spheres, hemispheres, cylinders, bells, and parabolas

5. Spinning Figure 17-34 (Above) Progressive stages in the spinning of a sheet metal product.

6. Spinning Tooling cost can be extremely low. The form block can often be made of hardwood or even plastic because of localized compression from metal. With automation, spinning can also be used to mass- produce high-volume items such as lamp reflectors, cooking utensils, bowls, and bells. Spinning is usually considered for simple shapes that can be directly withdrawn from a one-piece form. More complex shapes, such as those with reentrant angles, can be spun over multipiece or offset forms.

7. Shear Forming Shear forming is a version of spinning A modification of the spinning process in which each element of the blank maintains its distance from the axis of rotation. No circumferential shrinkage Wall thickness of product, t c will vary with the angle of the particular region: t c = t b (sin  where t b is the thickness of the starting blank. Reductions in wall thickness as high as 8:1 are possible, but the limit is usually set at about 5:1, or 80%

8. Shearing Forming

9. Direct Shear Forming Figure 17-36 Schematic representation of the basic shear-forming process. Material being formed moves in the same direction as the roller

10. Reverse Shear Forming Material being formed moves in the opposite direction as the roller By controlling the position and feed of the forming roller, the reverse process can be used to shape con- cave, convex, or conical parts without a matching form block.

11. Deep Drawing and Shallow Drawing Drawing is typically used to form solid-bottom cylindrical or rectangular containers from sheet metal. When depth of the product is greater than its diameter, it is known “Deep drawing”. When depth of the product is less than its diameter, it is known “shallow drawing”. Figure 17-40 Schematic of the deep- drawing process.

12. Deep Drawing and Shallow Drawing Key variables: ◦Blank and punch diameter ◦Punch and die radius ◦Clearance ◦Thickness of the blank ◦Lubrication ◦Hold-down pressure Figure 17-4 Flow of material during deep drawing. Note the circumferential compression as the radius is pulled inward

13. Deep Drawing During drawing, the material is pulled inward, so its circumference decrease. Since the volume of material must be the same, V 0 = V f the decrease in circumferential dimension must be compensated by a increase in another dimension, such as thickness or radial length. Since the material is thin, an alternative is to relieve the circumferential compression by bulking or wrinkling. The wrinkling formation can be suppressed by compressing the sheet between die and blankholder service.

14. Deep Drawing Drawing on a double-action press, where blankholder uses the second press action The hold-down force is independent of the punch position. The restraining force can be varied during the drawing operation. Multi-action presses are usually specified for the drawing of more complex parts.

15. Deep Drawing Once a drawing process has been designed and the tooling manufactured, the primary variable for process adjustment is hold-down pressure or blankhoder force. If the force is too low, wrinkling may occur at the start of the stroke. If it is too high, there is too much restrain, and the descending punch will tear the disk or some portion of the already-formed cup wall.

16. Deep Drawing As cup depth increases or material is thin, there is an increased tendency for forming the defects. Thin Thick

17. Defects in Drawing Parts

18. Forming with Rubber Tooling or Fluid Pressure Blanking and drawing operations usually require mating male and female die sets Processes have been developed that seek to ◦Reduce tooling cost ◦Decrease setup time and expense ◦Extend the amount of deformation for a single set of tools

19. Properties of Sheet Material Tensile strength of the material is important in determining which forming operations are appropriate. Sheet metal is often anisotropic- properties vary with direction or orientation. A metal with low-yield, high-tensile, and high-uniform elongation has a good mechanical property for sheet-forming operations. Majority of failures during forming occur due to thinning or fracture Strain analysis can be used to determine the best orientation for forming

20. Engineering Analysis of Drawing

22. It is important to assess the limitation of the amount of drawing that can be accomplished. Measures of Drawing: 1) Drawing ratio (cylinder) D R = D b /D p Where D b – blank diameter, D p – punch diameter The greater the ratio, the more severe is the drawing. An approximate upper limit on the drawing ratio is a value of 2.0. The actual limiting value for a given drawing depends on punch and die corner radii ( D p and D d ), friction conditions, depth of draw, and characteristics of the sheet metal (ductility, degree of directinality of strength in the metal).

23. Engineering Analysis of Drawing 2) Reduction r (another way to characterize a given drawing) r = ( D b - D p )/D b It is very closely related to drawing ratio. Consistent with D r <= 2.0, the value of r should be less than 0.5. 3) Thickness-to-diameter ratio: t/D b Where t – thickness of the starting blank, D b – blank diameter. The ratio t/D b is greater than 1%. As t/D b decreases, tendency for wrinkling increases. If D R, r, t/D b are exceeded by the design, blank must be draw in two or more steps, sometimes with annealing between steps.

24. Engineering Analysis of Drawing Example: Cup Drawing For a cylindrical cup with inside diameter = 3.0” and height = 2.0”, its starting blank size D b = 5.5”, and its thickness t = 3/32”, please indicate its manufacturing feasibility. Solution: D R = D b /D p = 5.5/3.3 = 1.833 <2.0 r = (D b - D p )/D b = (5.5 – 3.0)/5.5 = 45.45% < 50% t/D b = (3/32)/5.5 = 0.017 > 1% So the drawing operation is feasible.

25. Engineering Analysis of Drawing Drawing Force F = pD p t(T S )(D b /D p – 0.7) Where F – drawing force, lb(N); t – thickness of blank, in. (mm); T S - tensile strength, ib/in 2 (Mpa); D b and D p – starting blank diameter and punch diameter, in. (mm). 0.7 – a correction factor for friction. The equation is the estimation of the maximum force in the drawing. The drawing force varies throughout the downward movement of the punch, usually reaching its maximum value at about one-third the length of the punch stroke. Clearance c: about 10% than the stock thickness (t) c = 1.1 t

26. Engineering Analysis of Drawing Holding Force F h = 0.015Yp[D b 2 – (D p + 2.2t + 2R d ) 2 ] Where F h – holding force in drawing, ib (N); Y – yield strength of the sheet metal, lb/in 2 (Mpa); t – starting stock thickness, in. (mm); R d – die conner radius, in. (mm). The holding force is usually about one-third the drawing force [1]. [1]: Wick, C., et al., “Tool and Manufacturing Engineers, 4 th ed. Vol. II.

27. Engineering Analysis of Drawing Example Forces in Drawing Determine the (a) drawing force, and (2) holding force for the case in previous example for feasibility, where tensile strength of the metal = 70,000 lb/in 2 and yield strength = 40,000 lb/in 2, the die corner radius = 0.25”. Solution: (a) F = pD p t(T S )(D b /D p – 0.7) =p(3.0)(3/32)(70,000)(5.5/3.0 – 0.7) =70,097 lb (b) F h = 0.015Yp[D b 2 – (D p + 2.2t + 2R d ) 2 ] = 0.015(40,000)p{5.5 2 – [3.0 + 2.2(3/32) + 2(0.25)] 2 } = 1,885 (30.25 – 13.74) = 31,121 lb

28. Engineering Analysis of Drawing Blank Size Determination Assume that the volume of the final product is the same as the that of the starting sheet-metal blank and the thinning of the part wall is negligible. For a cup with its height H and the same diameters D p in the bottom and top: pD b 2 /4 = pD p 2 /4 + pD p H, and D b = SQRT(D p 2 + 4D p H)

29. Design Aids for Sheet Metal Forming A pattern is placed on the surface of a sheet. Circles have diameters between 2.4 and 5 mm (0.1 – 0.2”). During deformation, the circles convert into ellipses. Regions where the enclosed area has expanded are locations of sheet thinning and possible failure. Regions where the area has contracted have undergone sheet thickening and may be sites of buckling or wrinkles.

30. Design Aids for Sheet Metal Forming Using the ellipses on the deformed pattern, the major strains (strain in the direction of the largest radius) and the associated minor strain (strain 90 0 from the major) can be determined for a variety of locations. If both major and minor strains are positive, the deformation are stretching, and the sheet metal will decrease in thickness. If the minor strain is negative, this contraction may partially or whole compensate any positive stretching in the major direction. The combination of tension and compression is known as drawing, and the thickness may decrease, increase, or stay the same, depending on relative magnitude of the two strains.

31. Design Aids for Sheet Metal Forming Figure 17-57 (Left) Typical pattern for sheet metal deformation analysis; (right) forming limit diagram used to determine whether a metal can be shaped without risk of fracture. Fracture is expected when strains fall above the lines.

32. Design Aids for Sheet Metal Forming Figure 17-57 (Left) Typical pattern for sheet metal deformation analysis; (right) forming limit diagram used to determine whether a metal can be shaped without risk of fracture. Fracture is expected when strains fall above the lines.

33. Summary Sheet forming processes can be grouped in several broad categories ◦Shearing ◦Bending ◦Drawing ◦Forming Basic sheet forming operations involve a press, punch, or ram and a set of dies Material properties, geometry of the starting material, and the geometry of the desired final product play important roles in determining the best process