Our recent results on the following basic problems of the phase field theory and finite element simulations will be presented:
1. Multivariant martensitic phase transformations and twinning: large strains, lattice instability conditions, anisotropic interface stresses, and quasi-static and dynamic problems on nanostructure evolution.
2. Phase field approach to dislocations: large strains, lattice instability conditions, stress-strain curve, quasi-static problems on dislocation evolution, mesh-independence.
3. Interaction between phase transformations and dislocations: large strain kinematics, inheritance of dislocations during direct and reverse phase transformations.
4. Application to plastic strain-induced phase transformations at high pressure and shear in rotational diamond anvil cell: barrierless nucleation, drastic reduction of transformation pressure, local and coarse-grained thermodynamic equilibrium conditions.
1. Levitas V.I. & Javanbakht M. JMPS, 2015, 82, 345-366.
2. Javanbakht M. & Levitas V.I. JMPS, 2015, 82, 164-185.
3. Levitas V.I., Chen H., & Xiong L. PRL, 2017, 118, 025701.