Phase field approach to interaction between phase transformations and plasticity at the nanoscale at large strains
Čebyševskij sbornik, Tome 18 (2017) no. 3, pp. 366-380

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In the paper, our recent phase field approach (PFA) to the interaction between phase transformations (PTs) and dislocations at the nanoscale is reviewed. It is developed at large strains as a nontrivial combination of our recent advanced PFAs to martensitic PTs and dislocation evolution. Finite element method (FEM) simulations are performed to solve the coupled phase-field and elasticity equations. The evolution of dislocations and high pressure phase in a nanograined material under pressure and shear is studied and utilized for interpretation of experimental results on plastic strain induce PTs under high pressure in rotational diamond anvil cell.
Keywords: phase field approach, phase transformations, dislocations, interaction, nanoscale.
@article{CHEB_2017_18_3_a21,
     author = {V. I. Levitas and M. Javanbakht},
     title = {Phase field approach to interaction between phase transformations and plasticity at  the nanoscale  at large strains},
     journal = {\v{C}eby\v{s}evskij sbornik},
     pages = {366--380},
     publisher = {mathdoc},
     volume = {18},
     number = {3},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/CHEB_2017_18_3_a21/}
}
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V. I. Levitas; M. Javanbakht. Phase field approach to interaction between phase transformations and plasticity at  the nanoscale  at large strains. Čebyševskij sbornik, Tome 18 (2017) no. 3, pp. 366-380. http://geodesic.mathdoc.fr/item/CHEB_2017_18_3_a21/