Table 3 Symbols, meanings and values of parameters in phenomenological model for crystal plasticity used in this study.
Value | Definition | IN738LC | ||
|---|---|---|---|---|
Variable | \(\alpha \) | Slip system | Â | Â |
\({\tau }^{\alpha }\) | Resolved shear stress (analogous to Schmid’s law) |  |  | |
\({m}^{\alpha }\) | Vector in slip/shear direction | Â | Â | |
\({n}^{\alpha }\) | Vector along plane normal of the respective slip system | Â | Â | |
\({\dot{\gamma }}^{\alpha }\) | Plastic shear rate on each slip system | Â | Â | |
\({\dot{\tau }}_{0}^{\alpha }\) | Hardening/resistance behavior/kinetics of a slip system | Â | Â | |
\({h}_{{aa}{\prime}}\) | Hardening matrix | Â | Â | |
Parameter | \(a\) | Slip hardening | 0.01 | 2 |
\(n\) | Strain rate sensitivity | 5 | 20 | |
\({q}_{{aa}{\prime}}\) | Latent hardening for (coplanar) and [otherwise] slips | (1, 1), [1.4, 1.4, 1.4, 1.4] | Â | |
\({\dot{\gamma }}_{0}\) | Reference shear rate, s-1 | 0.001 | 0.001 | |
\({\tau }_{0}^{\alpha }\) | Initial slip resistance to plastic flow, MPa | 400 | 0.3 | |
\({\tau }_{\infty }\) | Saturation stress or resistance to plastic flow, MPa | 600 | 0.6 | |
\({h}_{0}\) | Slip hardening, MPa | 700 | 1 | |
C11 | Elastic stiffness constants from elasticity matrix, GPa | 252 (280.27) | 10 | |
C12 | 172 (190.99) | 0 | ||
C44 | 114 (127.06) | 5 | ||
\(Latt\_str\) | Lattice structure | fcc | Â | |
\(Nslip\) | Number of slip systems | 12 | Â | |
