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JOURNALS // Chebyshevskii Sbornik // Archive

Chebyshevskii Sb., 2017 Volume 18, Issue 3, Pages 366–380 (Mi cheb585)

Phase field approach to interaction between phase transformations and plasticity at the nanoscale at large strains

V. I. Levitasa, M. Javanbakhtb

a Iowa State University, Departments of Aerospace Engineering, Mechanical Engineering, and Material Science and Engineering, Ames Laboratory, Division of Materials Science and Engineering
b Isfahan University of Technology, Department of Mechanical Engineering

Abstract: 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.

UDC: 539.3, 519.6

Received: 19.05.2017
Revised: 14.09.2017

DOI: 10.22405/2226-8383-2017-18-3-366-380



© Steklov Math. Inst. of RAS, 2026