14 citations · 17 across the 6 of their papers we have counts for
6 papers
Homogenization of Norton-Hoff fibered composites with high contrast
Michel Bellieud
We study the steady creep flow of a perfectly viscoplastic solid reinforced by fibers with high viscosity contrast. Our study unveils new effects related to anisotropy and conditio…
Homogenization of stratified elastic media with high contrast
Michel Bellieud
We determine the asymptotic behavior of the solutions to the linear elastodynamic equations in a stratified medium comprising an alternation of possibly very stiff layers with much…
Asymptotic analysis of stratified elastic media in the space of functions with bounded deformation
Michel Bellieud, Shane Cooper
We consider a heterogeneous elastic structure which is stratified in some direction. We derive the limit problem under the assumption that the Lamé coefficients and their inverses…
Thermal concentrator homogenized with solar-shaped mantle
David Petiteau, Sebastien Guenneau, Michel Bellieud +2
We propose solar-shaped thermal concentrators designed with orthoradial layers and obtained in practice through the homogenization of an ideal thermal concentrator. Considering the…
Analogies between optical propagation and heat diffusion: Applications to micro-cavities, gratings and cloaks
Claude Amra, David Petiteau, Myriam Zerrad +6
A new analogy between optical propagation and heat diffusion in heterogeneous anisotropic media has been proposed recently [S. Guenneau, C. Amra, and D. Veynante, Optics Express Vo…
Spectral efficiency of engineered thermal cloaks in the frequency regime
David Petiteau, Sébastien Guenneau, Michel Bellieud +2
We analyse basic thermal cloaks designed via different geometric transforms applied to thermal cloaking. We evaluate quantitatively the efficiency of these heterogeneous anisotropi…