Interface propagation and microstructure evolution in phase field models of stress-induced martensitic phase transformations

VI Levitas, DW Lee, DL Preston - International Journal of Plasticity, 2010 - Elsevier
Analytical solutions for diffuse interface propagation are found for two recently developed
Landau potentials that account for the phenomenology of stress-induced martensitic phase …

Three-dimensional phase field model and simulation of martensitic transformation in multilayer systems under applied stresses

A Artemev, Y Wang, AG Khachaturyan - Acta Materialia, 2000 - Elsevier
The phase field microelasticity theory is used to formulate a three-dimensional phase field
model of a multivariant martensitic transformation under external load. The model is based …

Phase field approach to martensitic phase transformations with large strains and interface stresses

VI Levitas - Journal of the Mechanics and Physics of Solids, 2014 - Elsevier
Thermodynamically consistent phase field theory for multivariant martensitic transformations,
which includes large strains and interface stresses, is developed. Theory is formulated in a …

Micromechanical modeling of stress-induced phase transformations. Part 1. Thermodynamics and kinetics of coupled interface propagation and reorientation

VI Levitas, IB Ozsoy - International Journal of Plasticity, 2009 - Elsevier
The universal (ie independent of the constitutive equations) thermodynamic driving force for
coherent interface reorientation during first-order phase transformations in solids is derived …

Size effects in martensitic microstructures: Finite-strain phase field model versus sharp-interface approach

K Tůma, S Stupkiewicz, H Petryk - Journal of the Mechanics and Physics of …, 2016 - Elsevier
A finite-strain phase field model for martensitic phase transformation and twinning in shape
memory alloys is developed and confronted with the corresponding sharp-interface …

Finite-strain scale-free phase-field approach to multivariant martensitic phase transformations with stress-dependent effective thresholds

H Babaei, VI Levitas - Journal of the Mechanics and Physics of Solids, 2020 - Elsevier
A scale-free phase-field model for martensitic phase transformations (PTs) at finite strains is
developed as an essential generalization of small-strain models in Levitas et al.(2004) and …

Micromechanical modeling of stress-induced phase transformations. Part 2. Computational algorithms and examples

VI Levitas, IB Ozsoy - International Journal of Plasticity, 2009 - Elsevier
Based on the theory developed in Part 1 of this paper [Levitas, VI, Ozsoy, IB, 2008.
Micromechanical modeling of stress-induced phase transformations. Part 1 …

Thermodynamically consistent phase field approach to phase transformations with interface stresses

VI Levitas - Acta Materialia, 2013 - Elsevier
Thermodynamically consistent phase field theory for multivariant martensitic transformations
is developed with the main focus on introducing correct interface stresses (tension). The …

Phase-field theory for martensitic phase transformations at large strains

VI Levitas - International Journal of Plasticity, 2013 - Elsevier
General phase-field theory for multivariant martensitic phase transformations and explicit
models are formulated at large strains. Each order parameter is unambiguously related to …

Strain-induced multivariant martensitic transformations: A scale-independent simulation of interaction between localized shear bands and microstructure

SE Esfahani, I Ghamarian, VI Levitas - Acta Materialia, 2020 - Elsevier
A scale-independent model for the interaction between multivariant phase transformations
(PTs) and discrete shear bands is advanced and utilized to simulate plastic strain-induced …