Published 6 issues per year
ISSN Print: 1543-1649
ISSN Online: 1940-4352
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Modeling Dislocation Network and Dislocation–Precipitate Interaction at Mesoscopic Scale Using Phase Field Method
ABSTRACT
In this article we discuss phase field modeling of dislocation reactions and network formation in fcc crystals, g-channel filling by dislocations during plastic deformation in Ni-based superalloys, and deformation mechanisms in multilayer thin films. The phase field method is introduced in the context of gradient thermodynamics and discussed in contrast to the Peierls–Nabarro model. General expressions of crystalline and gradient energies are introduced, and their applications to various dislocation reactions leading to network formation are presented. The critical shear stress applied to drive dislocations through the g-channels is characterized as a function of channel width, dislocation density in the channels, and lattice mismatch. The propagation behavior of threading dislocations in a multilayer microstructure is characterized as a function of misfit strain and applied stress. Different deformation mechanisms of the multilayer microstructure are predicted, ranging from a confined layer slip in individual layers at a large lattice mismatch to a co-deformation across layers at a smaller lattice mismatch. Advantages, potential new applications, and limitations of the phase field method are discussed.
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