Onset of yielding

1.3.3

Knowing the yield strength, tensile strength and strain hardening exponent n makes it possible to estimate when the sheet metal begins to flow. Sheet metal areas within a sheet metal field with lower elongation will tend to spring back.

Eqn. 1
\require{color}\definecolor{myred}{RGB}{255,0,0} \varepsilon_{\color{myred}0}=\left(\frac{R_{\color{myred}p0,2}}{R_{\color{myred}m}}\right)^\frac1n\cdot\frac ne
Eqn. 2
\require{color}\definecolor{myred}{RGB}{255,0,0} \varphi=\ln\;\left(1+\varepsilon_{\color{myred}0}\right)
Yield straine0=0.708% 
Natural strainφ=0.0071 
Yield strengthRp 0,2 = 175MPa
Tensile strengthRm = 295MPa
Strain hardening exponentn = 0.22
Calc 1
Minimum elongation for onset of yielding1110

Material characteristics, e.g. from the table for example materials.

10
Birkert, A. et al.Umformtechnische Herstellung komplexer KarosserieteileSpringer ViewegBerlin - Heidelberg2013
11
Doege, E. et. al.Fließkurvenatlas metallischer WerkstoffeHanser VerlagMünchen1986
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