Publications

• ART

Wavenumber explicit convergence analysis for finite element discretizations of time-harmonic wave propagation problems with perfectly matched layers

Théophile Chaumont-Frelet, Dietmar Gallistl, Serge Nicaise, Jérôme Tomezyk

The first part of this paper is devoted to a wavenumber-explicit stability analysis of a planar Helmholtz problem with a perfectly matched layer. We prove that, for a model scattering problem, the H1 norm of the solution is bounded by the right-hand side, uniformly in the wavenumber k in the highly…

Communications in Mathematical Sciences, 2022, 20 (1), pp.1-52. ⟨10.4310/CMS.2022.v20.n1.a1⟩. ⟨hal-01887267⟩

• ART

Deep Gaussian Process for the Approximation of a Quadratic Eigenvalue Problem: Application to Friction-Induced Vibration

Jeremy Sadet, Franck Massa, Thierry Tison, El-Ghazali Talbi, Isabelle Turpin

Despite numerous works over the past two decades, friction-induced vibrations, especially braking noises, are a major issue for transportation manufacturers as well as for the scientific community. To study these fugitive phenomena, the engineers need numerical methods to efficiently predict the…

Vibration, 2022, 5 (2), pp.344-369. ⟨10.3390/vibration5020020⟩. ⟨hal-03700618⟩

• ART

Stability of piezoelectric beam with magnetic effect under (Coleman or Pipkin)-Gurtin thermal law

Mohammad Akil

In this paper, we investigate the stabilization of a system of piezoelectric beams under (Coleman or Pipkin)–Gurtin thermal law with magnetic effect. First, we study the piezoelectric Coleman–Gurtin system and we obtain an exponential stability result. Next, we consider the piezoelectric Gurtin–…

Zeitschrift für Angewandte Mathematik und Physik = Journal of Applied mathematics and physics = Journal de mathématiques et de physique appliquées, 2022, 73 (6), 24 p. ⟨10.1007/s00033-022-01867-w⟩. ⟨hal-04346746⟩

• ART

Polydopamine treatment of chitosan nanofibers for the conception of osteoinductive scaffolds for bone reconstruction

Syrine Dimassi, Nicolas Tabary, Feng Chai, Cedric Zobrist, Jean-Christophe Hornez, Frederic Cazaux, Nicolas Blanchemain, Bernard Martel

We report the influence of treatment time of electrospun chitosan nanofibers (CHT NFs) in dopamine hydrochloride bath (2 mg.mL−1 in 10 mM Tris buffer, pH 8.5) on the extent of the polydopamine (pDA) coating on NFs surface. The reaction was characterized by FTIR and SEM analysis and the…

Carbohydrate Polymers, 2022, Carbohydrate Polymers, 276, pp.118774. ⟨10.1016/j.carbpol.2021.118774⟩. ⟨hal-03405054⟩

• ART

Subdivisions of Horned or Spindle Dupin Cyclides Using Bézier Curves with Mass Points

Lionel Garnier, Lucie Druoton, Jean-Paul Becar, Laurent Fuchs, Géraldine Morin

This paper shows the same algorithm is used for subdivisions of Dupin cyclides with singular points and quadratic Bézier curves passing through infinity. The mass points are usefull for any quadratic Bézier representation of a parabola or an hyperbola arc. The mass points are mixing weighted points…

WSEAS Transactions on Mathematics, 2021, 20, pp.756-776. ⟨10.37394/23206.2021.20.80⟩. ⟨hal-03541207⟩

• ART

Investigation of the Eigen Frequency of a Cantilever Microbeam Immersed in a Fluid Under the Piezoelectric Effect

Victory Elias, Flavie Braud, Philippe Champagne, Georges Nassar

In this paper, a new model of piezoelectric cantilever is developed, it can be heavily used in a micro electromechanical system (MEMS). This new prototype eliminates several risks caused by the previous means already used and increases the sensation in terms of rheology. Our approach is based on…

Sensors & Transducers., 2021, 254 (7), pp.31-37. ⟨hal-03564209⟩

• THESE

Contribution à la modélisation du frittage de l'alumine par chauffage micro-ondes, Contribution to the modelling of alumina sintering by microwave heating

Maxence Renaux

Depuis les années 80, le chauffage par micro-ondes connaît un regain d’intérêt pour lefrittage des matériaux céramiques. Il permet une réduction des temps de traitement (defrittage et de palier). Lesmesures de température réalisées pendant le frittage ne pouvants’effectuer qu’à distance, il n’est…, Since the eighties, microwave heating is receiving renewed interest in the sintering ofceramic materials. It allows a reduction in processing times (sintering and dwell times).Temperature measurements during the microwave sintering can only be carried out atdistance. It is not possible to know the…

Matériaux. Université Polytechnique Hauts-de-France, 2021. Français. ⟨NNT : 2021UPHF0043⟩. ⟨tel-03652656⟩

• ART

Surfaces of the nearly Kähler S3×S3 preserved by the almost product structure

Miroslava Antić, Zejun Hu, Marilena Moruz, Luc Vrancken

The product manifold S3×S3 is one of the only four homogeneous six-dimensional nearly Kähler manifolds. It also admits a canonical almost product structure P, which is compatible with the almost complex structure (see Bolton et al., Tôhoku Math. J. 67 (2015), 1–17, and Moruz and Vrancken, Publ.…

• THESE

Dopages de phosphate tricalcique beta et mise en forme de macroporeux par robocasting, Beta tricalcium phosphate doping and macroporous shaping by robocasting

Nicolas Somers

Ce travail de thèse porte sur l’élaboration de phosphate β-tricalcique (β-TCP, β-Ca3(PO4)2) dopé à l’aide de quatre cations (Mg2+, Sr2+, Ag+ et Cu2+) par la méthode de co-précipitation et la fabrication de macroporeux par robocasting. Le β-TCP est l'un des biomatériaux les plus étudiés dans le…, This thesis work focuses on the development of β-tricalcium phosphate (β-TCP, β-Ca3(PO4)2) doped with four cations (Mg2+, Sr2+, Ag+ and Cu2+) by the co-precipitation method and the manufacture of macroporous scaffolds by robocasting. β-TCP is one of the most studied biomaterials in the field of…

Biomatériaux. Université Polytechnique Hauts-de-France, 2021. Français. ⟨NNT : 2021UPHF0046⟩. ⟨tel-03550098⟩

• ART

Existence and percolation results for stopped germ-grain models with unbounded velocities

David Coupier, David Dereudre, Simon Le Stum

We investigate the existence and first percolation properties of general stopped germ-grain models. They are defined via a random set of germs generated by a homogeneous planar Poisson point process in R2. From each germ, a grain, composed of a random number of branches, grows. This grain stops…

Stochastic Processes and their Applications, 2021, 142, pp.549-579. ⟨10.1016/j.spa.2021.08.008⟩. ⟨hal-04396369⟩