Interaction between phase transformations and dislocations at the nanoscale. Part 2: Phase field simulation examples

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Interaction between phase transformations and dislocations at the nanoscale. Part 2_ Phase field simulation examples

The complete system of phase field equations for coupled martensitic phase transformations (PTs), dislocation evolution, and mechanics at large strains is presented. Finite element method (FEM) is utilized to solve this system for two important problems. The first one is related to the simulation of shear strain-induced PT at the evolving dislocation pile-ups in a nanosized bicrystal. Plasticit...

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Interaction between phase transformations and dislocations at the nanoscale. Part 1. General phase field approach

Thermodynamically consistent, three-dimensional (3D) phase field approach (PFA) for coupled multivariant martensitic transformations (PTs), including cyclic PTs, variant– variant transformations (i.e., twinning), and dislocation evolution is developed at large strains. One of our key points is in the justification of the multiplicative decomposition of the deformation gradient into elastic, tra...

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Interaction of phase transformations and plasticity at the nanoscale: phase field approach

Phase field approach (PFA) to the interaction between phase transformations (PTs) and dislocations 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 and are applied to study of the growth and arrest of m...

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Phase-field approach to surface-induced phase transformations and dislocations

The Ginzburg-Landau theory for multivariant martensitic phase transformations is advanced in three directions: the potential is developed that introduces the surface tension at interfaces; a mixed term in gradient energy is introduced to control the martensite-martensite interface energy independent of that for austenite-martensite; and a noncontradictory expression for variable surface energy ...

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Phase field approach to interaction of phase transformations and plasticity at large strains

Thermodynamically consistent phase fi eld approach (PFA) for multivariant martensitic phase transformations (PTs) and twinning for large strains is developed [1, 2]. Thermodynamic potential in hyperspherical order parameters is introduced, which allowed us to describe each martensite-martensite (i.e., twin) interface with a single order parameter [3]. These theories are utilized for fi nite ele...

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ژورنال

عنوان ژورنال: Journal of the Mechanics and Physics of Solids

سال: 2015

ISSN: 0022-5096

DOI: 10.1016/j.jmps.2015.05.006