Understanding dislocation mechanics at the mesoscale using phase field dislocation dynamics. (English) Zbl 1353.82070
Philos. Trans. R. Soc. Lond., A, Math. Phys. Eng. Sci. 374, No. 2066, Article ID 20150166, 27 p. (2016).
Summary: We discuss the formulation, recent developments and findings obtained from a mesoscale mechanics technique called phase field dislocation dynamics (PFDD). We begin by presenting recent advancements made in modelling face-centred cubic materials, such as integration with atomic-scale simulations to account for partial dislocations. We discuss calculations that help in understanding grain size effects on transitions from full to partial dislocation-mediated slip behaviour and deformation twinning. Finally, we present recent extensions of the PFDD framework to alternative crystal structures, such as body-centred cubic metals, and two-phase materials, including free surfaces, voids and bi-metallic crystals. With several examples we demonstrate that the PFDD model is a powerful and versatile method that can bridge the length and time scales between atomistic and continuum-scale methods, providing a much needed understanding of deformation mechanisms in the mesoscale regime.
MSC:
| 82D25 | Statistical mechanics of crystals |
| 82B26 | Phase transitions (general) in equilibrium statistical mechanics |
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