A review of nonlinear FFT-based computational homogenization methods
M Schneider - Acta Mechanica, 2021 - Springer
Since their inception, computational homogenization methods based on the fast Fourier
transform (FFT) have grown in popularity, establishing themselves as a powerful tool …
transform (FFT) have grown in popularity, establishing themselves as a powerful tool …
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 …
were first proposed in 1994 by Moulinec and Suquet for the homogenization of composites …
Integration of phase-field model and crystal plasticity for the prediction of process-structure-property relation of additively manufactured metallic materials
A computational framework is developed to investigate the process-structure-property
relationship for additive manufacturing (AM) of Ti–6Al–4V alloy. The proposed model …
relationship for additive manufacturing (AM) of Ti–6Al–4V alloy. The proposed model …
A review of FE-FFT-based two-scale methods for computational modeling of microstructure evolution and macroscopic material behavior
The overall, macroscopic constitutive behavior of most materials of technological importance
such as fiber-reinforced composites or polycrystals is very much influenced by the …
such as fiber-reinforced composites or polycrystals is very much influenced by the …
Microstructure-guided deep material network for rapid nonlinear material modeling and uncertainty quantification
Modeling nonlinear materials with arbitrary microstructures and loading paths is crucial in
structural analyses with heterogeneous materials with uncertainty. However, it is …
structural analyses with heterogeneous materials with uncertainty. However, it is …
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 …
microstructure and the anisotropic properties of their constituent single crystal grains is …
Multiple-mechanism and microstructure-based crystal plasticity modeling for cyclic shear deformation of TRIP steel
The transformation-induced plasticity (TRIP) steel has an excellent synergy between
strength and ductility and is widely used in industry. Cyclic loading is often seen in its …
strength and ductility and is widely used in industry. Cyclic loading is often seen in its …
Microstructure-based multiscale modeling of large strain plastic deformation by coupling a full-field crystal plasticity-spectral solver with an implicit finite element solver
We present a fully embedded implementation of a full-field crystal plasticity model in an
implicit finite element (FE) framework, a combination which realizes a multiscale approach …
implicit finite element (FE) framework, a combination which realizes a multiscale approach …
LS-DYNA machine learning–based multiscale method for nonlinear modeling of short fiber–reinforced composites
Short fiber–reinforced composites (SFRCs) are high-performance engineering materials for
lightweight structural applications in the automotive and electronics industries. Typically …
lightweight structural applications in the automotive and electronics industries. Typically …
On Quasi‐Newton methods in fast Fourier transform‐based micromechanics
D Wicht, M Schneider, T Böhlke - International Journal for …, 2020 - Wiley Online Library
This work is devoted to investigating the computational power of Quasi‐Newton methods in
the context of fast Fourier transform (FFT)‐based computational micromechanics. We revisit …
the context of fast Fourier transform (FFT)‐based computational micromechanics. We revisit …