Valery I. Levitas¹; ¹Iowa State University

Our recent results on the following basic problems of the phase field approach (PFA) and finite element simulations will be presented: 1. Multivariant martensitic phase transformations: nano- and microscale PFA, large strains, and lattice instability conditions.2. PFA to dislocations at nano- and microscale, in particular, using contact problem.3. Interaction between phase transformations and dislocations at nano- and microscale.4. Application to plastic strain-induced phase transformations at high pressure and large shear: barrierless nucleation, drastic reduction of transformation pressure, local and coarse-grained thermodynamic equilibrium conditions, strain-controlled kinetics. 1. Levitas V.I. & Javanbakht M. JMPS, 2015, 82, 345-366.2. Basak A. & Levitas V.I. JMPS, 2018, 113, 162-196.3. Levitas V.I. IJP, 2018, 106, 164-185.4. Babaei H. & Levitas V.I. IJP, 2018, 107, 223-245.5. Levitas V.I., Esfahani S.E., & Ghamarian I. PRL, 2018, 121, 205701. 6. Basak A. & Levitas V.I., CMAME, 2019, 343, 368-406.