| Autor: |
Groma, István, Ispánovity, Péter Dusán, Hochrainer, Thomas |
| Rok vydání: |
2020 |
| Předmět: |
|
| Zdroj: |
Phys. Rev. B 103, 174101 (2021) |
| Druh dokumentu: |
Working Paper |
| DOI: |
10.1103/PhysRevB.103.174101 |
| Popis: |
To develop a dislocation-based statistical continuum theory of crystal plasticity is a major challenge of materials science.During the last two decades such a theory has been developed for the time evolution of a system of parallel edge dislocations. The evolution equations were derived by a systematic coarse-graining of the equations of motion of the individual dislocations and later retrieved from a functional of the dislocation densities and the stress potential by applying the standard formalism of phase field theories. It is, however, a long standing issue if a similar procedure can be established for curved dislocation systems. An important prerequisite for such a theory has recently been established through a density-based kinematic theory of moving curves. In this paper, an approach is presented for a systematic derivation of the dynamics of systems of curved dislocations in a single slip situation. In order to reduce the complexity of the problem a dipole like approximation for the orientation dependent density variables is applied. This leads to a closed set of kinematic evolution equations of total dislocation density, the GND densities, and the so-called curvature density. The analogy of the resulting equations with the edge dislocation model allows one to generalize the phase field formalism and to obtain a closed set of dynamic evolution equations. |
| Databáze: |
arXiv |
| Externí odkaz: |
|
