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 …
Multiscale modeling of materials: Computing, data science, uncertainty and goal-oriented optimization
The recent decades have seen various attempts at accelerating the process of developing
materials targeted towards specific applications. The performance required for a particular …
materials targeted towards specific applications. The performance required for a particular …
Singular boundary method for wave propagation analysis in periodic structures
A strong-form boundary collocation method, the singular boundary method (SBM), is
developed in this paper for the wave propagation analysis at low and moderate …
developed in this paper for the wave propagation analysis at low and moderate …
Finite strain FFT-based non-linear solvers made simple
Computational micromechanics and homogenization require the solution of the mechanical
equilibrium of a periodic cell that comprises a (generally complex) microstructure …
equilibrium of a periodic cell that comprises a (generally complex) microstructure …
A finite element perspective on nonlinear FFT‐based micromechanical simulations
Fourier solvers have become efficient tools to establish structure–property relations in
heterogeneous materials. Introduced as an alternative to the finite element (FE) method …
heterogeneous materials. Introduced as an alternative to the finite element (FE) method …
Two-stage data-driven homogenization for nonlinear solids using a reduced order model
The nonlinear behavior of materials with three-dimensional microstructure is investigated
using a data-driven approach. The key innovation is the combination of two hierarchies of …
using a data-driven approach. The key innovation is the combination of two hierarchies of …
A coupled FE-FFT multiscale method for progressive damage analysis of 3D braided composite beam under bending load
A more efficient multiscale coupling method is developed to study the progressive damage
behavior of three dimensional (3D) braided composite beam. In the mesoscale, the fast …
behavior of three dimensional (3D) braided composite beam. In the mesoscale, the fast …
Predicting the effective response of bulk polycrystalline ferroelectric ceramics via improved spectral phase field methods
A Vidyasagar, WL Tan, DM Kochmann - … of the Mechanics and Physics of …, 2017 - Elsevier
Understanding the electromechanical response of bulk polycrystalline ferroelectric ceramics
requires scale-bridging approaches. Recent advances in fast numerical methods to compute …
requires scale-bridging approaches. Recent advances in fast numerical methods to compute …
[HTML][HTML] A reduced order model for geometrically parameterized two-scale simulations of elasto-plastic microstructures under large deformations
In recent years, there has been a growing interest in understanding complex microstructures
and their effect on macroscopic properties. In general, it is difficult to derive an effective …
and their effect on macroscopic properties. In general, it is difficult to derive an effective …
Progressive damage analysis of 3D braided composites using FFT-based method
Spectral method based on Fast Fourier Transforms (FFT) is developed to study the
mechanical properties of three-dimensional (3D) braided composites with complex internal …
mechanical properties of three-dimensional (3D) braided composites with complex internal …