[HTML][HTML] 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 …

[HTML][HTML] A review of FE-FFT-based two-scale methods for computational modeling of microstructure evolution and macroscopic material behavior

C Gierden, J Kochmann, J Waimann… - … Methods in Engineering, 2022 - Springer
The overall, macroscopic constitutive behavior of most materials of technological importance
such as fiber-reinforced composites or polycrystals is very much influenced by the …

Multiscale modelling of precipitation hardening in Al–Cu alloys: Dislocation dynamics simulations and experimental validation

R Santos-Güemes, B Bellón, G Esteban-Manzanares… - Acta Materialia, 2020 - Elsevier
The mechanisms of dislocation/precipitate interactions were analyzed in an Al–Cu alloy
containing a homogeneous dispersion of θ′ precipitates by means of discrete dislocation …

Computational homogenization of polycrystals

J Segurado, RA Lebensohn, J LLorca - Advances in Applied Mechanics, 2018 - Elsevier
This paper reviews the current state of the art in the simulation of the mechanical behavior of
polycrystalline materials by means of computational homogenization. The key ingredients of …

Frontiers in the simulation of dislocations

N Bertin, RB Sills, W Cai - Annual Review of Materials Research, 2020 - annualreviews.org
Dislocations play a vital role in the mechanical behavior of crystalline materials during
deformation. To capture dislocation phenomena across all relevant scales, a multiscale …

[HTML][HTML] Spectral methods for full-field micromechanical modelling of polycrystalline materials

RA Lebensohn, AD Rollett - Computational Materials Science, 2020 - Elsevier
Modelling the mechanical behavior of polycrystalline materials based on their evolving
microstructure and the anisotropic properties of their constituent single crystal grains is …

[HTML][HTML] Evaluation of computational homogenization methods for the prediction of mechanical properties of additively manufactured metal parts

NG March, DR Gunasegaram, AB Murphy - Additive Manufacturing, 2023 - Elsevier
It is well known that the strongly location-dependent microstructures observed in metal parts
made using additive manufacturing (AM) processes differ from those found in components …

A fast Fourier transform-based mesoscale field dislocation mechanics study of grain size effects and reversible plasticity in polycrystals

S Berbenni, V Taupin, RA Lebensohn - … of the Mechanics and Physics of …, 2020 - Elsevier
A numerical implementation of a non-local polycrystal plasticity theory based on a
mesoscale version of the field dislocation mechanics theory (MFDM) of Acharya and Roy …

Discrete dislocation dynamics simulations of dislocation-θ′ precipitate interaction in Al-Cu alloys

R Santos-Güemes, G Esteban-Manzanares… - Journal of the …, 2018 - Elsevier
The mechanisms of dislocation/precipitate interaction were studied by means of discrete
dislocation dynamics within a multiscale approach. Simulations were carried out using the …

A non-singular theory of dislocations in anisotropic crystals

G Po, M Lazar, NC Admal, N Ghoniem - International Journal of Plasticity, 2018 - Elsevier
We develop a non-singular theory of three-dimensional dislocation loops in a particular
version of Mindlin's anisotropic gradient elasticity with up to six length scale parameters. The …