FFT based approaches in micromechanics: fundamentals, methods and applications

S Lucarini, MV Upadhyay… - Modelling and Simulation …, 2021 - iopscience.iop.org
FFT methods have become a fundamental tool in computational micromechanics since they
were first proposed in 1994 by Moulinec and Suquet for the homogenization of composites …

Accelerating phase-field-based microstructure evolution predictions via surrogate models trained by machine learning methods

D Montes de Oca Zapiain, JA Stewart… - npj Computational …, 2021 - nature.com
The phase-field method is a powerful and versatile computational approach for modeling the
evolution of microstructures and associated properties for a wide variety of physical …

Accelerating phase-field predictions via recurrent neural networks learning the microstructure evolution in latent space

C Hu, S Martin, R Dingreville - Computer Methods in Applied Mechanics …, 2022 - Elsevier
The phase-field method is a popular modeling technique used to describe the dynamics of
microstructures and their physical properties at the mesoscale. However, because in these …

Recent progress in the phase-field dislocation dynamics method

S Xu - Computational Materials Science, 2022 - Elsevier
The phase-field dislocation dynamics (PFDD) method, originated in 2002, is a continuum
dislocation model that uses order parameters to describe dislocation slips in crystalline …

Phase transformations, fracture, and other structural changes in inelastic materials

VI Levitas - International Journal of Plasticity, 2021 - Elsevier
Review of selected fundamental topics on the interaction between phase transformations,
fracture, and other structural changes in inelastic materials is presented. It mostly focuses on …

The kinetics of static recovery by dislocation climb

AA Kohnert, L Capolungo - npj Computational Materials, 2022 - nature.com
The initial microstructure of a wide range of structural materials is conditioned by thermo-
mechanical treatments such as hot-working, tempering, or solution annealing. At the …

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

VI Levitas, M Javanbakht - Journal of the Mechanics and Physics of Solids, 2015 - Elsevier
Abstract Thermodynamically consistent, three-dimensional (3D) phase field approach (PFA)
for coupled multivariant martensitic transformations (PTs), including cyclic PTs, variant …

Influence of the stacking fault energy surface on partial dislocations in fcc metals with a three-dimensional phase field dislocations dynamics model

A Hunter, IJ Beyerlein, TC Germann… - Physical Review B …, 2011 - APS
We present simulations of the dissociation of perfect dislocations into extended partial
dislocations in aluminum, palladium, and nickel using a phase field dislocation dynamics …

Phase-field modeling of the interactions between an edge dislocation and an array of obstacles

S Xu, JY Cheng, Z Li, NA Mara, IJ Beyerlein - Computer Methods in Applied …, 2022 - Elsevier
Obstacles, such as voids and precipitates, are prevalent in crystalline materials. They
strengthen crystals by serving as barriers to dislocation glide. In this work, we develop a …

A FFT-based formulation for efficient mechanical fields computation in isotropic and anisotropic periodic discrete dislocation dynamics

N Bertin, MV Upadhyay, C Pradalier… - … and Simulation in …, 2015 - iopscience.iop.org
In this paper, we propose a novel full-field approach based on the fast Fourier transform
(FFT) technique to compute mechanical fields in periodic discrete dislocation dynamics …