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The continuum theory of dislocations, as developed predominantly by Kr\"onerand Kosevich, views each dislocation as a source of incompatibility of strains.We show that this concept can be employed efficiently in the Landau free energyfunctional to develop a mean-field mesoscopic model of materials withdislocations. The order parameters that represent the distortion of the parentphase (often of cubic symmetry) are written in terms of elastic strains whichare themselves coupled by incompatibility constraints. Since the "strength" ofthe incompatibility depends on the local density of dislocations, the presenceof dislocations affects the evolution of the microstructure and vice versa. Anadvantage of this formulation is that long range anisotropic interactionsbetween dislocations appear naturally in the formulation of the free energy.Owing to the distortion of the crystal structure around dislocations, theirpresence in multiphase materials causes heterogeneous nucleation of the productphase and thus also shifts of the transformation temperature. This novelfield-theoretical approach is very convenient as it allows to bridge the gap instudying the behavior of materials at the length and time scales that are notattainable by atomistic or macroscopic models.

Influence of Dislocations on the Spatial Variation of Microstructure in Martensites