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 …
[HTML][HTML] Fourier-based schemes for computing the mechanical response of composites with accurate local fields
F Willot - Comptes Rendus Mécanique, 2015 - Elsevier
We modify the Green operator involved in Fourier-based computational schemes in
elasticity, in 2D and 3D. The new operator is derived by expressing continuum mechanics in …
elasticity, in 2D and 3D. The new operator is derived by expressing continuum mechanics in …
Morphology and effective properties of multi-scale random sets: A review
D Jeulin - Comptes rendus. Mécanique, 2012 - comptes-rendus.academie-sciences …
Complex microstructures in materials often involve multi-scale heterogeneous textures,
modeled by random sets derived from Mathematical Morphology. Our approach starts from …
modeled by random sets derived from Mathematical Morphology. Our approach starts from …
Numerical evaluation of the representative volume element for random composites
A El Moumen, T Kanit, A Imad - European Journal of Mechanics-A/Solids, 2021 - Elsevier
Abstract The Representative Volume Element (RVE) plays a central role in the
homogenization of random heterogeneous microstructures, especially for composite and …
homogenization of random heterogeneous microstructures, especially for composite and …
[图书][B] Morphological models of random structures
D Jeulin - 2021 - Springer
This book covers methods of Mathematical Morphology to model and simulate random sets
and functions (scalar and multivariate). These models concern many physical situations in …
and functions (scalar and multivariate). These models concern many physical situations in …
Effect of reinforcement shape on physical properties and representative volume element of particles-reinforced composites: statistical and numerical approaches
A El Moumen, T Kanit, A Imad, H El Minor - Mechanics of materials, 2015 - Elsevier
We are considering the effect of the particle shape on the effective elastic properties and
representative volume element of two-phase composites. In this work, microstructures with …
representative volume element of two-phase composites. In this work, microstructures with …
Computational thermal conductivity in porous materials using homogenization techniques: Numerical and statistical approaches
A El Moumen, T Kanit, A Imad, H El Minor - Computational Materials …, 2015 - Elsevier
In this paper, the numerical homogenization technique and morphological analysis are used
in order to compute the thermal conductivity in microscale of porous materials. The …
in order to compute the thermal conductivity in microscale of porous materials. The …
Numerical estimation via remeshing and analytical modeling of nonlinear elastic composites comprising a large volume fraction of randomly distributed spherical …
We investigate numerically via finite element (FE) simulations and analytically the nonlinear
behavior of a soft matrix comprising a large volume fraction (up to 55%) of monodisperse …
behavior of a soft matrix comprising a large volume fraction (up to 55%) of monodisperse …
Quantifying the effect of two-point correlations on the effective elasticity of specific classes of random porous materials with and without connectivity
It is well-known by now that the Hashin–Shtrikman bounds imply that the two-point
correlation functions are not in general sufficient to estimate accurately the response of …
correlation functions are not in general sufficient to estimate accurately the response of …
On the multiscale characterization of effective hydraulic conductivity in random heterogeneous media: a historical survey and some new perspectives
In large scale heterogeneous aquifer simulations, determining the appropriate coarsening
scale λ to define an effective hydraulic conductivity K eff is a challenging task, that involves a …
scale λ to define an effective hydraulic conductivity K eff is a challenging task, that involves a …