*MAT_JC
"Optional title"
mid, $\rho$, $E$, $\nu$, did, tid, eosid
$A$, $B$, $n$, $C$, $m$, $T_0$, $T_m$, $\dot{\varepsilon}_0$
$C_p$, $k$, $d$, $e$
"Optional title"
mid, $\rho$, $E$, $\nu$, did, tid, eosid
$A$, $B$, $n$, $C$, $m$, $T_0$, $T_m$, $\dot{\varepsilon}_0$
$C_p$, $k$, $d$, $e$
Parameter definition
Variable | Description |
---|---|
mid | Unique material identification number |
$\rho$ | Density |
$E$ | Young's modulus |
$\nu$ | Poisson's ratio |
did | Damage property command ID |
tid | Thermal property command ID |
eosid | Equation-of-state ID |
$A$ | Initial yield strength |
$B$ | Hardening parameter |
$n$ | Hardening parameter |
$C$ | Strain rate hardening parameter |
$m$ | Thermal softening parameter |
$T_0$ | Ambient temperature |
$T_m$ | Melting temperature |
$\dot{\varepsilon}_0$ | Strain rate parameter |
$C_p$ | Specific heat capacity |
$k$ | Plastic work to heat conversion factor |
$d$ | Thermal softening parameter |
$e$ | Thermal softening parameter |
Description
Johnson-Cook's constitutive model. The von Mises flow stress is defined as:
$\displaystyle{\sigma_y = \left( A + B(\varepsilon_{eff}^p)^n \right) \cdot \left( 1 + C \cdot \mathrm{ln}\left( \frac{\dot\varepsilon_{eff}^p}{\dot{\varepsilon}_0} \right) \right) \cdot \left(d - e \cdot \left( \frac{\mathrm{T}-\mathrm{T}_0}{\mathrm{T}_m - \mathrm{T}_0} \right)^m \right)}$
$T$ is the current temperature. The hydrostatic pressure $p$ is defined as:
$p = -K \varepsilon_v + 3K \alpha_T (T-T_{ref})$
where $K$ is the bulk modulus, $\varepsilon_v$ is the volumetric strain. $\alpha_T$ is the thermal expansion coefficient and $T_{ref}$ is the reference temperature (see PROP_THERMAL).