About
12
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Introduction
Graduated as a PhD at the Ecole Centrale of Nantes (France), my research focuses on hyperbolic problems in (hyper)elastic-plastic solids through the development of dedicated numerical approaches, and theoretical investigations.
Publications
Publications (12)
In this paper, the effect on the ultrasonic attenuation of the grain size heterogeneity in polycrystals is analyzed. First, new analytical developments allowing the extension of the unified theory of Stanke and Kino to general grain size distributions are presented. It is then shown that one can additively decompose the attenuation coefficient prov...
In this paper, the effect on the ultrasonic attenuation of the grain size heterogeneity in polycrystals is analyzed. First, new analytical developments allowing the extension of the unified theory of Stanke and Kino to general grain size distributions are presented. It is then shown that one can additively decompose the attenuation coefficient prov...
Although the solution of hyperbolic partial differential equations in elastic-plastic media is of major importance in solid mechanics, the mathematical complexity of such problems increases with the space dimensionality. As a result, the development of analytical solutions is in general not possible. Whereas the wave structure resulting from given...
The Discontinuous Galerkin Material Point Method (DGMPM) is based on the discretization of a solid domain by means of particles in a background mesh. Owing to the employment of the discontinuous Galerkin approximation on the grid, the weak form of a hyperbolic system involves fluxes that are computed at cell interfaces by means of an approximate Ri...
In this paper, stability conditions are derived for the Discontinuous Galerkin Material Point Method [1, 2] on the scalar linear advection equation for the sake of simplicity and without loss of generality for linear problems. The discrete systems resulting from the application of the DGMPM discretization in one and two space dimensions are first w...
In this thesis, the material point method (MPM) is extended to the discontinuous Galerkin approximation (DG) and applied to hyperbolic problems in solid mechanics. The resulting method (DGMPM) aims at accurately following waves in finite-deforming solids whose constitutive models may depend on the loading history. Merging finite volumes and finite...
A wide variety of physical problems in solid mechanics, such as impact on structures or high-speed forming techniques, involve waves propagating in solids submitted to large strains. The Material Point Method is now well established as an effective tool for dealing with finite deformations due to the use of particles that can move in an arbitrary E...
A wide variety of dynamic physical problems, such as impact on structures or high-speed forming techniques, involves waves propagating in finite deforming solids. The numerical simulation of this class of problems has been and is still mainly performed with the Finite Element Method despite well-known shortcomings. Indeed, Lagrangian formulations o...
An extension of the Material Point Method [1] based on the Discontinuous Galerkin approximation (DG) [2] is presented here. A solid domain is represented by a collection of particles that can move and carry the fields of the problem inside an arbitrary computational grid in order to provide a Lagrangian description of the deformation without mesh t...
The material point method is extended in this work to the Discontinuous Galerkin approximation framework for the simulation of impacts on elastic and hyperelastic solids. The formulation is based on the weak form of conservation laws on each cell of an eulerian grid in which volume integrals are discretized on a set of material points lying in that...
La Méthode des Points Matériels est étendue dans ce travail grâce à la méthode de Galerkin Discontinue pour la simulation d'impact sur des solides élastiques. La formulation est basée sur l'affai-blissement de la forme conservative des équations de la dynamique et sur le calcul de flux de Godunov sur les interfaces entre les éléments d'une grille d...
