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Article dans une revue

An optimal control problem governed by heat equation with nonconvex constraints applied to selective laser melting process

Tonia-Maria Alam, Serge Nicaise, Luc Paquet

This paper deals with a PDE-constraints optimal control problem applied to an Additive Manufacturing process, namely a selective laser melting. Here, we want to control the temperature gradient inside the domain during a fixed time of heating, by acting on the trajectory of the dynamic Gaussian…

Minimax Theory and its Applications, 2021, 6 (2), pp.191-204. ⟨hal-02302403⟩

Article dans une revue

Experimental and Numerical Investigations for Quantifying Variability of NR Mechanical Properties after Thermal Aging

Andrés Malo Estepa, Franck Massa, Adnane Boukamel, Thierry Tison, Philippe Champagne, Stéphane Méo, Andreas Wolf

The evolution of mechanical properties of NR with carbon black fillers was examined after a thermal aging step through both experimentation and non-deterministic numerical simulations. A quantification of mechanical properties and associated variability is first proposed for a set of specimens…

Rubber Chemistry and Technology, 2021, 94 (1), pp.160-179. ⟨10.5254/rct.20.80405⟩. ⟨hal-02465445⟩

Article dans une revue

Flash point prediction with UNIFAC type models of ethylic biodiesel and binary/ternary mixtures of FAEEs

Débora Costa Do Nascimento, Natália Daniele Dorighello Carareto, Antonio Marinho Barbosa Neto, Vincent Gerbaud, Mariana Conceição da Costa

In order to guarantee safe handling of a combustible liquid, such as biodiesel, it is important to be aware of its Flash Point (FP). Thus, the present study focused on FP experimental measurement and thermodynamic correlation of binary and ternary mixtures of saturated or unsaturated fatty acid…

Fuel, 2020, 281, pp.118717. ⟨10.1016/j.fuel.2020.118717⟩. ⟨hal-03115520⟩

Article dans une revue

Modification of hydroxyapatite surface properties by electron irradiation

Guillaume Bai, Jean-Christophe Hornez, Ulrich Maschke, Philippe Supiot, Etienne Bres

In the present work, the modification of wetting properties of EB irradiated HA ceramics are studied under air and N2 gas atmospheres. We show a noticeable increase of the hydrophily of electron irradiated HA ceramics in an air atmosphere and a lesser increase when the samples are irradiated in an…

Radiation Physics and Chemistry, 2020, Radiation Physics and Chemistry, 177, pp.109192. ⟨10.1016/j.radphyschem.2020.109192⟩. ⟨hal-03104388⟩

Article dans une revue

Hyperbolic Radial Spanning Tree

Lucas Flammant

We define and analyze an extention to the d-dimensional hyperbolic space of the Radial Spanning Tree (RST) introduced by Baccelli and Bordenave in the two-dimensional Euclidean space (2007). In particular, we will focus on the description of the infinite branches of the tree. The properties shown…

Electronic Journal of Probability, 2020. ⟨hal-03024280⟩

Article dans une revue

Impedance spectroscopy analysis and piezoelectric properties of (Na 0.5 Bi 0.5 ) 0.94 Ba 0.06 TiO 3 + 0.3wt.% Sm 2 O 3 lead-free ceramics sintered at different conditions

Sadia Kennour, Nouara Lamrani-Amaouz, Ahcène Chaouchi, Mohamed Rguiti, Yannick Lorgouilloux, Christian Courtois

(Na0.5Bi0.5)0.94Ba0.06TiO3 + 0.3 wt.% Sm2O3 (named NBT-BT) lead-free piezoelectric ceramics were prepared by normal sintering. The effect of atmosphere sintering on NBT-BT ceramics was investigated through X-ray diffraction, dielectric, ferroelectric and piezoelectric characterizations. Real (Z′)…

Ferroelectrics, 2020, 568 (1), pp.5-22. ⟨10.1080/00150193.2020.1811027⟩. ⟨hal-03480198⟩

Article dans une revue

On product affine hyperspheres in ℝn+1

Xiuxiu Cheng, Zejun Hu, Marilena Moruz, Luc Vrancken

In this paper, we study locally strongly convex affine hyperspheres in the unimodular affine space ℝn+1 which, as Riemannian manifolds, are locally isometric to the Riemannian product of two Riemannian manifolds both possessing constant sectional curvature. As the main result, a complete…

Science China Mathematics, 2020, 63 (10), pp.2055-2078. ⟨10.1007/s11425-018-9457-9⟩. ⟨hal-03722937⟩

Article dans une revue

Nonlinear fractional Laplacian problems with nonlocal ‘gradient terms’

Boumediene Abdellaoui, Antonio J. Fernández Sánchez

Abstract Let $\Omega \subset \mathbb{R}^{N} $ , N ≽ 2, be a smooth bounded domain. For s ∈ (1/2, 1), we consider a problem of the form $$\left\{\begin{array}{@{}ll} (-\Delta)^s u = \mu(x)\, \mathbb{D}_s^{2}(u) + \lambda f(x), & {\rm in}\,\Omega, \\ u= 0, & {\rm in}\,\mathbb{R}^{N} \setminus…

Proceedings of the Royal Society of Edinburgh: Section A, Mathematics, 2020, 150 (5), pp.2682-2718. ⟨10.1017/prm.2019.60⟩. ⟨hal-03337289⟩

Article dans une revue

Existence, Uniqueness and Stabilization of Solutions of a Generalized Telegraph Equation on Star Shaped Networks

Alaa Hayek, Serge Nicaise, Zaynab Salloum, Ali Wehbe

The existence, uniqueness, strong and exponential stability of a generalized telegraph equation set on one dimensional star shaped networks are established. It is assumed that a dissipative boundary condition is applied at all the external vertices and an improved Kirchhoff law at the common…

Acta Applicandae Mathematicae, 2020, 170 (1), pp.823-851. ⟨10.1007/s10440-020-00360-8⟩. ⟨hal-04304997⟩

Article dans une revue

Almost complex submanifolds of nearly Kähler manifolds

Limiao Lin, Luc Vrancken, Anne Wijffels

We study almost complex submanifolds of pseudo nearly Kähler manifolds. We show in particular that a 6 dimensional strict nearly Kähler manifold does not admit any 4 dimensional almost complex submanifolds. This generalises results obtained by Gray (Proc Am Math Soc 20:277–279, 1969) for the nearly…

Archiv der Mathematik, 2020, 115 (3), pp.353-358. ⟨10.1007/s00013-020-01469-w⟩. ⟨hal-03722951⟩