Energy analysis of misfit hardening by parametric dislocation dynamics simulation

Orientation Dependent Hardening by <001> Rod-Shaped Misfitting Precipitates in Aluminium Alloys

“…Therefore, the internal stress was computed by the Eshelby inclusion problem method, by assuming the matrix stiffness and aluminium as a precipitate phase. The simulation method in the present study is analogous to that in our previous reports [31,32], where the dislocation motion influenced by the stresses of the misfitting precipitate and the curved dislocation segments are explicitly calculated by Green's function method. The related parameters of the simulation model are listed in Table 1.…”

“…Recalling the aforementioned micromechanics theory [4], the stress acting on the dislocation segments can be readily computed by solving the Eshelby inclusion and inhomogeneity problems. Recently, we proposed the micromechanical based Green's function method for dislocation interaction with the misfitting precipitate [31,32]. The stress of the dislocation segments was numerically computed by the method analogous to the PDD, while the stress inside and outside the precipitate was determined by the Eshelby method.…”

“…The stress of the dislocation segments was numerically computed by the method analogous to the PDD, while the stress inside and outside the precipitate was determined by the Eshelby method. Another important feature of our method is the prediction of the stress-strain curves during the dislocation bypassing the precipitate and the interaction energy analysis [31,32]. Hence, it is crucially important to investigate the orientation-dependent hardening by precipitation variants with different shapes by dislocation dynamics simulation.…”

“…The aim of the present study is to investigate the effect of geometry and orientation of the <001> rod precipitate on the misfit hardening behaviour by means of dislocation dynamics simulation. To this end, the hardening and softening behaviours associated with the dislocation motion around the <001> rod precipitates are implemented by the energy associated with the dislocation motion, as proposed in our previous papers [31,32].…”

Dislocation Topological Evolution and Energy Analysis in Misfit Hardening of Spherical Precipitate by the Parametric Dislocation Dynamics Simulation

“…The present study is based on our former works done by Muraishi and Liu, who developed the PDD codes through Green’s function method. Before this, Muraishi and Liu have researched the dislocation interacts with an ellipsoidal precipitate in Al-Cu alloys [ 12 ], and the influence of the key parameters (existence of the cross-slip, the radius of precipitate and the dislocation source length) on the precipitate-dislocation hardening [ 13 ]. In this study, we mainly investigated the dislocation topological evolution, not only on the planes but also the planes, which were considered in our previous study.…”