A versatile interface model for thermal conduction phenomena and its numerical implementation by XFEM

International audienceA general interface model is presented for thermal conduction and characterized by two jump relations. The first one expresses that the temperature jump across an interface is proportional to the interfacial average of the normal heat flux while the second one states that the normal heat flux jump is proportional to the surface Laplacian of the interfacial average of the temperature. By varying the two scalar proportionality parameters, not only the Kapitza resistance and highly conducting interface models can be retrieved but also all the intermediate cases can be covered. The general interface model is numerically implemented by constructing its weak form and by using the level-set method and XFEM. The resulting numerical procedure, whose accuracy and robustness are thoroughly tested and discussed with the help of a benchmark problem, is shown to be efficient for solving the problem of thermal conduction in particulate composites with various imperfect interfaces

Entropy-corrected new agegraphic dark energy in Horava-Lifshitz cosmology

We study the entropy-corrected version of the new agegraphic dark energy (NADE) model and dark matter in a spatially non-flat Universe and in the framework of Ho\v{r}ava-Lifshitz cosmology. For the two cases containing noninteracting and interacting entropy-corrected NADE (ECNADE) models, we derive the exact differential equation that determines the evolution of the ECNADE density parameter. Also the deceleration parameter is obtained. Furthermore, using a parametrization of the equation of state parameter of the ECNADE model as $\omega_{\Lambda}(z)=\omega_0+\omega_1 z$, we obtain both $\omega_0$ and $\omega_1$. We find that in the presence of interaction, the equation of state parameter $\omega_0$ of this model can cross the phantom divide line which is compatible with the observation.Comment: 20 pages, 2 figures, to appear in 'Astrophysics and Space Science

Neural networks for computational homogenization and optimization of hyperelastic heterogeneous materials

Keynote LectureInternational audienc

Effective interfacial conditions for Stokes flow of a fluid on periodically rough surfaces

International audienc

A simple decoupled computational homogenization for linear heterogeneous viscoelastic materials

International audienc

Determination of the effective conductive properties of composites with curved oscillating interfaces by a two-scale homogenization procedure

International audienc

Unsaturated poromechanical behavior of cement-based materials, homogenized using direct numerical simulations

International audienc

Unsaturated poromechanical behavior of cement-based materials, homogenized using direct numerical simulations

International audienc