Improved and simplified dislocation density based plasticity model for AISI 316 L

Dislocation Density Based Flow Stress Model Applied to the PFEM Simulation of Orthogonal Cutting Processes of Ti-6Al-4V

“…This section presents a summary of the dislocation density constitutive model developed in References [39,40,67,68]. The flow stress consist of three parts, the long range, the short-range parts of the resistance to the motion of dislocations and the drag component [69][70][71]…”

Thermal stresses and computational welding mechanics

“…Physics-based models or so-called mechanism-based plasticity models [28]- [31] are based on the underlying physics of the deformation that dominates under the relevant loading conditions. This kind of models has a natural handshake with respect to some microstructural information such as recrystallization [32,33], precipitates and solutes [34]- [39]. However, they are on the same ground as engineering type of models when determining macroscopic flow stress from a mixture of individual phases as well as whether hardening, that is, dislocation structure, is inherited or not during a phase change.…”

“…The latter are not described in the current paper. One example of a model for solutes is given in [39] and for precipitates in [36]. A general formula for how to combine the effect of obstacles with different strength [34,[56][57][58] is…”

“…These evolution equations are described in [32,39,54]. It is assumed that the Hall-Petch term also is a long-range contribution as it affects the virgin yield limit of a material.…”

“…Some examples of calibrated curves are shown in Figure 5. Lindgren et al [39] calibrated a dislocation density based model for the austenitic stainless steel AISI 316 L and some curves are shown in Figure 6. Calibration curves for Alloy 625 are shown in Figure 7.…”