Material Constants:

$A=450($Yield stress at reference conditions$)$

$B=500($Hardening modulus$)$

$n=0\mathrm{.}35($Strain hardening exponent$)$

$C=0\mathrm{.}02($Strain rate sensitivity constant$)$

$m=0\mathrm{.}9($Thermal softening exponent$)$

Reference strain rate ${}_0^{}={15}^{-1}$

Melting temperature $T_m=1450C$

Reference temperature $T_0=20C$

Test Conditions:

Plastic strain: ${}_p=0\mathrm{.}075$

Strain rate: ${}_p^{}=500S^{-1}$

Temperature: $T=500C$

Tasks: $$

Calculate the normalized strain rate

Calculate the homologou femperature T

Using the Johnson$-$Cook model, calculate the flow stress

Interpretation: How do the strain rate and temperature affect the flow