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Article dans une revue

Influence of porosity on the mechanical properties of microporous β-TCP bioceramics by usual and instrumented Vickers microindentation

Arnaud Tricoteaux, E. Rguiti, Didier Chicot, L. Boilet, Michel Descamps, Anne Leriche, J. Lesage

Beta-tricalcium phosphate [Ca3(PO4)2, β-TCP] is a bioresorbable material showing an excellent biocompatibility. However, sintering of β-TCP is difficult and the material presents poor mechanical strength and a low resistance to crack-growth propagation. In this study, influence of the porosity on...

Journal of the European Ceramic Society, 2011, 31 (8), pp.1361-1369. ⟨10.1016/j.jeurceramsoc.2011.02.005⟩. ⟨hal-03577737⟩

Article dans une revue

Modeling and characterization of piezoelectric cantilever bending sensor for energy harvesting

R. Ly, Mohamed Rguiti, Sophie d'Astorg, A. Hajjaji, Christian Courtois, Anne Leriche

The main aim of this work is to enhance the conversion of mechanical energy into electrical energy by using direct piezoelectric effect. Under the assumption of the Euler–Bernoulli Beam Theory, a piezoelectric cantilever bending of 31-effect was developed. The equations of motion for the global...

Sensors and Actuators A: Physical , 2011, 168 (1), pp.95-100. ⟨10.1016/j.sna.2011.04.020⟩. ⟨hal-04282958⟩

Article dans une revue

Exponential stability of the wave equation with boundary time-varying delay

Serge Nicaise, Cristina Pignotti, Julie Valein

We consider the wave equation with a time-varying delay term in the boundary condition in a bounded and smooth domain [\Omega\subset\RR^n.] Under suitable assumptions, we prove exponential stability of the solution. These results are obtained by introducing suitable energies and suitable Lyapunov...

Discrete and Continuous Dynamical Systems - Series S, 2011, 4 (3), pp.693-722. ⟨10.3934/dcdss.2011.4.693⟩. ⟨hal-00599629⟩

Article dans une revue

Practical simulation and estimation for Gibbs Delaunay-Voronoi tessellations with geometric hardcore interaction

David Dereudre, Frédéric Lavancier

General models of Gibbs Delaunay-Voronoi tessellations, which can be viewed as extensions of Ord's process, are considered. The interaction may occur on each cell of the tessellation and between neighbour cells. The tessellation may also be subjected to a geometric hardcore interaction,...

Computational Statistics and Data Analysis, 2011, 55 (1), pp.498-519. ⟨10.1016/j.csda.2010.05.018⟩. ⟨hal-00402029v2⟩

Article dans une revue

Singular behavior of the solution of the periodic-Dirichlet heat equation in weighted L^p -Sobolev spaces

Colette De Coster, Serge Nicaise

We consider the heat equation in a polygonal domain Ω of the plane in weighted L^p-Sobolev spaces ∂_t u − ∆u = h, in Ω × ] − π, π[, u = 0, on ∂Ω × [−π, π], u(•, −π) = u(•, π), in Ω. Here h belongs to L^p (−π, π; L^p_µ (Ω)), where L^p_µ (Ω) = {v ∈ L^p_loc (Ω) : r^µ v ∈ L p (Ω)}, with a real...

Advances in Differential Equations, 2011, 16, pp.221-256. ⟨hal-03721684⟩

Article dans une revue

Quadratic functors on pointed categories

Manfred Hartl, Christine Vespa

We study polynomial functors of degree $2$, called quadratic, with values in the category of abelian groups $Ab$, and whose source category is an arbitrary category $\C$ with null object such that all objects are colimits of copies of a generating object $E$ which is small and regular projective;...

Advances in Mathematics, 2011, 226 (5), pp.3927-4010. ⟨10.1016/j.aim.2010.11.008⟩. ⟨hal-00334292v3⟩

Article dans une revue

Robust equilibrated a posteriori error estimators for the Reissner-Mindlin system

Emmanuel Creusé, Serge Nicaise, Emmanuel Verhille

We consider a conforming finite element approximation of the Reissner-Mindlin system. We propose a new robust a posteriori error estimator based on H(div ) conforming finite elements and equilibrated fluxes. It is shown that this estimator gives rise to an upper bound where the constant is one up...

Calcolo, 2011, 48 (4), pp.307-335. ⟨10.1007/s10092-011-0042-0⟩. ⟨hal-00531654⟩

Article dans une revue

Singular behavior of the solution of the Helmholtz equation in weighted L^p -Sobolev spaces

Colette De Coster, Serge Nicaise

We study the Helmholtz equation − ∆u + zu = g in Ω, with Dirichlet boundary conditions in a polygonal domain Ω, where z is a complex number. Here g belongs to L^p_µ (Ω) = {v ∈ L^p_loc (Ω) : r^µ v ∈ L^p (Ω)}, with a real parameter µ and r(x) the distance from x to the set of corners of Ω. We give...

Advances in Differential Equations, 2011, 16, pp.165-198. ⟨hal-03721687⟩

Article dans une revue

Stochastic perturbation of sweeping process and a convergence result for an associated numerical scheme

Frederic Bernicot, Juliette Venel

Here we present well-posedness results for first order stochastic differential inclusions, more precisely for sweeping process with a stochastic perturbation. These results are provided in combining both deterministic sweeping process theory and methods concerning the reflection of a Brownian...

Journal of Differential Equations, 2011, 251 (4-5), pp.1195-1224. ⟨10.1016/j.jde.2011.03.010⟩. ⟨hal-00448064⟩

Article dans une revue

Singular behavior of the solution of the Cauchy-Dirichlet heat equation in weighted L^p -Sobolev spaces

Colette De Coster, Serge Nicaise

We consider the heat equation on a polygonal domain Ω of the plane in weighted L^p-Sobolev spaces ∂_t u − ∆u = h, in Ω × ]0, T [, u = 0, on ∂Ω × [0, T ], u(•, 0) = 0, in Ω. Here h belongs to L^p (0, T ; L^p_µ (Ω)), where L^p_µ (Ω) = {v ∈ L^p_loc (Ω) : r^µ v ∈ L^p (Ω)}, with a real parameter µ and r...

Bulletin of the Belgian Mathematical Society - Simon Stevin, 2011, 18, pp.769-780. ⟨hal-03721680⟩