Recent development of the Phase Field Microelasticity theory has extended its applicability from diffusional and martensitic phase transformations to the dislocation dynamics, crack evolutions, and behavior of voids in elastically and structurally inhomogeneous solids under applied stress. The computational models based on this theory allow one to address problems of arbitrary microstructure evolution in complex systems. In particular, it enables one to investigate the structure-property relations of materials where different physical processes are simultaneously involved, such as phase transformations, dislocation plasticity, fracture, etc. It is the interplays between these distinct processes that determine the mechanical properties of engineering materials, where the long-range elastic interaction plays a key role. In this paper, the applications of the Phase Field Microelasticity theory to different nano- and meso-scale processes are discussed.
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