$ϵ$	uniaxial strain
F	deformation gradient
$\mathit{\sigma },\mathit{s}$	stress and its deviatoric component
$S-N$	true stress range vs. number of cycles N to failure
${\sigma }_y$	peak yield stress
${\sigma }_u$	ultimate tensile strength
${\sigma }_a$	stress amplitude
${\sigma }_m$	mean stress
$\beta (\overline{\sigma },g;{\sigma }_0)$	endurance function
$\overline{\sigma }(\mathit{s},\alpha )$	equivalent stress
$\mathit{\alpha }\left(C\right)$	fatigue variable (kinematic)
$C$	model (material) parameter
${\sigma }_0,{\sigma }_{+0}$	fatigue strengths for alternating and pulsating uniaxial loads
$g(I_1;a,a_2)$	function in $\beta$ for the mean stress ${\sigma }_m$
$I_1$	first stress invariant
$a,a_2$	slope parameters of the Haigh diagram for low and high values of ${\sigma }_m$
D	fatigue damage
HCF, LCF	high-cycle fatigue, low-cycle fatigue
$K,L,C$	fatigue damage parameters for HCF
$\tilde{L},\kappa$	fatigue damage parameters for LCF
$R$	stress ratio ${\sigma }_{min}/{\sigma }_{max}$
$\zeta$	stress ratio ${\sigma }_a/{\sigma }_0$
${\sigma }_f^{{}^{\prime }},b$	parameters of Basquin equation
${\xi }_f^{{}^{\prime }},c$	parameters of Coffin-Manson formula
${\sigma }_c^{{}^{\prime }},n_c$	parameters of Ramberg-Osgood formula
${ϵ}_r$	ratcheting strain
SBs	Shear bands