Parameters	Equation(s)	Suggested ranges obtained from literature
αCOL, αG, αH, αLC, αself	15, 17	0.1-0.6 (Mughrabi, 1983; Sauzay and Kubin, 2011). References for the order of the strength of dislocation junction types are (Cottrell, 1952; Dupuy and Fivel, 2002; Franciosi et al., 1980; Hirth, 1961; Lomer, 1951; Madec et al., 2003; Martinez et al., 2008; Picu and Soare, 2010)
αback	15, 17	0.7-1.0 for FCC materials without precipitates (Atkinson et al., 1974; Moan and Embury, 1979; Stoltz and Pelloux, 1976; Stout and Rollett, 1990), also refer to Sect. IV.1
ηdyn_rec = ηnon_sub	15, 17	0.2-1.0 for forest dislocations; small and weak precipitates (Table 2.1 in (Frost and Ashby, 1982))
${\gamma }_0^{(i)}$	15, 17, 21	106 s−1 (Section 2.2 in (Frost and Ashby, 1982))
$k_1^f$, $k_1^{n\_sub}$	15	from 8 to 80 (Kocks, 1966)
m, n	15, 17	0≤m≤1, 1≤n≤2, respectively (Eqn. 2.8 in (Frost and Ashby, 1982))
τsat_drag, ${\tau }_{SSA}^0$	15, 21	${\tau }_{sat\_drag}={\tau }_{SSA}^0$, and ${\tau }_{SSA}^0$ should be higher than the magnitude of stress serration (Kubin et al., 1988; Kubin et al., 1992) (also refer to discussions in Sects. IV.1, IV.2 in this present study)
Ksimi_sat	16	5-10 (Sauzay and Kubin, 2011)
Cs / Cs,0	17	≈2 (for interstitial alloys like austenitic stainless steels (Lindgren et al., 2008; Pham, 2013))
${\rho }_{mo}^0$, ${\rho }_f^o$, ${\rho }_{n\_sub}^0$	17, 21	Average total dislocation density is typical from 1010 m−2 to 1012 m−2 for well annealed metallic materials (Hull and Bacon, 2001). As described in Sect. IV.1 and IV. 2, the order of these densities is ${\rho }_{mo}^0<{\rho }_f^o<{\rho }_{n\_sub}^0$
td_s	21	from 1 s to 100 s (Kubin et al., 1988; Kubin et al., 1992)
ηrec_static	23	< 0.2 for lattice resistance, solution hardening (Table 2.1 in (Frost and Ashby, 1982), also refer to Eqn. 22, Sect. IV.2, Fig. 8 and Table 2 in this present study)