Embossing height

15.5
Embossing Height Definition
Fig. 1
Maximum embossing height & minimal thickness
① Initial situation ② Start of constriction ③ Break b Width hB Height up to break hmax Maximum embossing height rM Die radius rSt Punch radius s0 Wall thickness sMin Minimal thickness at the thinnest point u embossing gap

The phenomenological location of the thinnest point is at the contact point of the sheet metal with the punch radius. After a height hmax has been reached, the constriction begins.

Due to the significant reduction in the wall thickness s0 and the increasing change in the surface structure due to the formation of orange peel and micro-cracks, the maximum embossing height is defined as 85% of the fracture height.20

Eqn. 1
\require{color}\definecolor{myred}{RGB}{255,0,0} h_{\color{myred}max}<6,8\cdot b\cdot n\cdot e^\kappa\leq0,85\cdot h_{\color{myred}B}
Eqn. 2
\require{color}\definecolor{myred}{RGB}{255,0,0} \kappa=-2,68\cdot\frac{b-r_{\color{myred}St}}{b+u+r_{\color{myred}M}}
Eqn. 3
\require{color}\definecolor{myred}{RGB}{255,0,0} s_{\color{myred}min}=s_{\color{myred}0}\cdot0,15^{\color{myred}\chi}
Eqn. 4
\require{color}\definecolor{myred}{RGB}{255,0,0} \chi=0,235\cdot\left(\frac{r_{\color{myred}St}+u+r_{\color{myred}M}}b\right)^{\color{myred}0,439}
Embossing heighthmax<13.44mm 
Minimal thicknesssmin=0.64mm 
Broadb = 25mm
Strain hardening exponentn = 0.22
Punch radiusrSt = 10mm
Embossing gapu = 10mm
Die radiusrM = 5mm
Sheet thicknesss0 = 1mm
Calc 1
Maximum embossing height & minimal thickness20

The maximum embossing height depends mainly on the solidification exponent and the punch radius. This equation was developed using regression calculations based on rotationally symmetrical model workpieces.20

The embossing height equation applies when the following conditions apply:

  • soft unalloyed steels
  • 15 ≤ b ≤ 50
  • 2 ≤ rSt ≤ 20
  • 2 ≤ rM ≤ 10
  • 2 ≤ u ≤ 17.5

Please refer to the material table for the hardening exponents.

A comparison of different geometries has shown that lubrication has only a small influence on increasing the maximum floor height (about 7% increase with lubricant applied on both sides). By changing the geometry, however, the embossing height can be increased by up to 120%.14

14
Doege, E.; Breidohr, B.EFB-Forschungsbericht Nr. 35: Untersuchungen zum Tiefziehen von Teilen mit unebenen BodenformenEuropäische Forschungsgesellschaft für Blechverarbeitung e. V.Hannover1988
20
Wolf, H.; Kluge, S.Spannungs- und Formänderungsuntersuchungen beim Hohlprägen von FormfeldernUmformtechnik 20Zwickau1986
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