
We present a general formalism for incorporating dislocations in Phas Field methods. This formalism is based on the elastic equiva;ence betweem a dislocation loop and a platelet inclusion of specific stress-free strain related to the loop Burgers vector and normal. Dislocations are thus treated as platelet inclusions and may be coupled dynamically to any other field such as a concentration field. The method is illustrated through the simulation of a Frank-Read source and of the shrinkage of a loop in presence of a concentration field.
[PHYS.COND.CM-SM] Physics [physics]/Condensed Matter [cond-mat]/Statistical Mechanics [cond-mat.stat-mech], Condensed Matter - Materials Science, Statistical Mechanics (cond-mat.stat-mech), Materials Science (cond-mat.mtrl-sci), FOS: Physical sciences, [PHYS.COND.CM-MS] Physics [physics]/Condensed Matter [cond-mat]/Materials Science [cond-mat.mtrl-sci], Condensed Matter - Statistical Mechanics
[PHYS.COND.CM-SM] Physics [physics]/Condensed Matter [cond-mat]/Statistical Mechanics [cond-mat.stat-mech], Condensed Matter - Materials Science, Statistical Mechanics (cond-mat.stat-mech), Materials Science (cond-mat.mtrl-sci), FOS: Physical sciences, [PHYS.COND.CM-MS] Physics [physics]/Condensed Matter [cond-mat]/Materials Science [cond-mat.mtrl-sci], Condensed Matter - Statistical Mechanics
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