$A$	Parameter of the damage rate function ${\omega }_f$
$b$	Length of a chain Kuhn’s segment
$c_a, c_{max}$	Actual and maximum number of active chain per unit volume, respectively
$D$	Damage parameter of the material
$\mathfrak{D}$	Dissipated energy per unit volume of material
${\mathfrak{D}}_v,{\mathfrak{D}}_f$	Dissipated energy per unit volume of material related to the viscous and to the chain’s failure mechanisms, respectively
$\mathit{F},F_{ij}$	Deformation gradient tensor
$t$	Time
$J$	Polymer volume change ratio
$k_a,k_d$	Activation and deactivation cross-link rates of the polymer chains, respectively
$k_B$	Boltzmann’s constant
$\mathit{L}$, $L_{ij}$	Spatial velocity gradient
$\mathcal{L}, {\mathcal{L}}^{-1}$	Langevin function and its inverse, respectively
$N$	Number of segments in a polymer chain belonging to a single network
$q\left(N\right)$	Probability distribution function of the number of Kuhn’s segments in a polydisperse polymer
$\mathit{r}$	End-to-end vector of a polymer chain
$\mathit{f}$	Force in a single stretched chain
$T$	Absolute temperature
$w_b$	Strain energy of a single Kuhn segment
$\overline{w}$	Bond energy between two segments of a polymer chain
$\gamma$	Parameter of the damage rate function ${\omega }_f$
${\phi }_0\left(\mathit{r}\right),\phi \left(\mathit{r}\right)$	Distribution function of the end-to-end vector in the stress-free and in the current state, respectively
$\lambda$	Unidimensional stretch measure
${\omega }_f\left(\mathit{r}\right)$	Failure rate related to the chains with end-to-end vector $\mathit{r}$
$\rho \left(\mathit{r}\right)$	Chain Configuration Density Function (CCDF)
$\dot{\rho }, {\dot{\rho }}_L, {\dot{\rho }}_v, {\dot{\rho }}_f$	Total CCDF rate, CCDF rate due to deformation, viscous effects and failure, respectively
$\psi$	Deformation energy for a single chain
${\Psi }_0,\Psi$	Network’s deformation energy per unit volume in the stress-free and in the current configuration, respectively
$\mathit{\sigma }$	Chauchy stress