Hensel Spittel Model

Temperature, strain, and strain rate dependent Hensel Spittel model used in HyperXtrude is given by the following expression. It has a built-in temperature dependence in the equation and it is used all the time.

σ f = A · e m 1 T · ε m 2 · ε ˙ m 3 · e m 4 / ε · ( 1 + ε ) m 5 T · e m 7 ε · ε ˙ m 8 T · T m 9
A Material Constant (Pa)
m1...m8 Material constants (dimensionless)
ε ˙ Effective strain rate (s-1)
ε Effective strain
T Temperature (K)
σf Flow stress (Pa)
Workpiece Aluminium {
ConstitutiveModel = "HenselSpittel"
Density = ρ
SpecificHeat = Cp(T)
Conductivity = K(T)
CoeffOfThermalExpansion = βT
VolumetricHeatSource = Qvol
ReferenceTemperature = T
LiquidusTemperature = Tl
SolidusTemperature = Ts
Coefficient_A = A
Coefficient_m1 = m1
Coefficient_m2 = m2
Coefficient_m3 = m3
Coefficient_m4 = m4
Coefficient_m5 = m5
Coefficient_m7 = m7
Coefficient_m8 = m8
Coefficient_m9 = m9
MinStrainLimit = 0.5
MaxStrainLimit = 5.0 }