138 citations · 251 across the 6 of their papers we have counts for
6 papers
Fourier-based schemes with modified Green operator for computing the electrical response of heterogeneous media with accurate local fields
François Willot, Bassam Abdallah, Yves-Patrick Pellegrini
A modified Green operator is proposed as an improvement of Fourier-based numerical schemes commonly used for computing the electrical or thermal response of heterogeneous media. Co…
Generalized two-body self-consistent theory of random linear dielectric composites: an effective-medium approach to clustering in highly-disordered media
Yves-Patrick Pellegrini, François Willot
Effects of two-body dipolar interactions on the effective permittivity/conductivity of a binary, symmetric, random dielectric composite are investigated in a self-consistent framew…
Infinite-contrast periodic composites with strongly nonlinear behavior: Effective-medium theory versus full-field simulations
Martin I. Idiart, Francois Willot, Yves-Patrick Pellegrini +1
This paper presents a combined numerical-theoretical study of the macroscopic behavior and local field distributions in a special class of two-dimensional periodic composites with…
Effective-medium theory for infinite-contrast, 2D-periodic, linear composites with strongly anisotropic matrix behavior: dilute limit and cross-over behavior
Francois Willot, Yves-Patrick Pellegrini, Martin I. Idiart +1
The overall behavior of a 2D lattice of voids embedded in an anisotropic matrix is investigated in the limit of vanishing porosity f. An effective-medium model (of the Hashin-Shtri…
Fast Fourier Transform computations and build-up of plastic deformation in 2D, elastic-perfectly plastic, pixelwise disordered porous media
Francois Willot, Yves-Patrick Pellegrini
Stress and strain fields in a two-dimensional pixelwise disordered system are computed by a Fast Fourier Transform method. The system, a model for a ductile damaged medium, consist…
Localization of elastic deformation in strongly anisotropic, porous, linear materials with periodic microstructures: exact solutions and dilute expansions
Francois Willot, Yves-Patrick Pellegrini, Pedro Ponte Castaneda
Exact solutions are derived for the problem of a two-dimensional, infinitely anisotropic, linear-elastic medium containing a periodic lattice of voids. The matrix material possesse…