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See detailComparison of a fluid and a solid approach for the numerical simulation of Friction Stir Welding with a non-cylindrical pin
Bussetta, Philippe ULg; Dialami, Narges; Boman, Romain ULg et al

in Proceedings of "V International Conference on Computational Methods for Coupled Problems in Science and Engineering" (2013, June)

Friction Stir Welding (FSW) process is a solid-state joining process during which materials to be joined are not melted. As a consequence, the heat-affected zone is smaller and the quality of the weld is ... [more ▼]

Friction Stir Welding (FSW) process is a solid-state joining process during which materials to be joined are not melted. As a consequence, the heat-affected zone is smaller and the quality of the weld is better with respect to more classical welding processes. Because of extremely high strains in the neighbourhood of the tool, classical numerical simulation techniques have to be extended in order to track the correct material deformations. The Arbitrary Lagrangian Eulerian (ALE) formulation is used to preserve a good mesh quality throughout the computation. With this formulation the mesh displacement is independent from the material displacement. Moreover, some advanced numerical techniques such as remeshing or a special computation of transition interface is needed to take into account non-cylindrical tools. During the FSW process, the behaviour of the material in the neighbourhood of the tool is at the interface between solid mechanics and fluid mechanics. Consequently, a numerical model of the FSW process based on a solid formulation is compared to another one based on a fluid formulation. It is shown that these two formulations essentially deliver the same results in terms of pressures and temperatures. [less ▲]

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See detailThe adapted augmented Lagrangian method: a new method for the resolution of the mechanical frictional contact problem
Bussetta, Philippe ULg; Daniel, Marceau; Ponthot, Jean-Philippe ULg

in Computational Mechanics (2012), 49(2), 259-275

The aim of this work is to propose a new numerical method for solving the mechanical frictional contact problem in the general case of multi-bodies in a three dimensional space. This method is called ... [more ▼]

The aim of this work is to propose a new numerical method for solving the mechanical frictional contact problem in the general case of multi-bodies in a three dimensional space. This method is called adapted augmented Lagrangian method (AALM) and can be used in a multi-physical context (like thermo-electro-mechanical fields problems). This paper presents this new method and its advantages over other classical methods such as penalty method (PM), adapted penalty method (APM) and, augmented Lagrangian method (ALM). In addition, the efficiency and the reliability of the AALM are proved with some academic problems and an industrial thermo-electromechanical problem. [less ▲]

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See detailA finite volume based data transfer method for remeshing. Application to metal forming problems
Bussetta, Philippe ULg; Ponthot, Jean-Philippe ULg

in Proceedings of the 18th International Symposium on Plasticity & Its Current Applications (2012, January)

The resolution of many nonlinear solid mechanical problems with the Finite Elements Method requires remeshing when very large deformations occur. The remeshing operation is divided into two parts: the ... [more ▼]

The resolution of many nonlinear solid mechanical problems with the Finite Elements Method requires remeshing when very large deformations occur. The remeshing operation is divided into two parts: the generation of the new mesh and the data transfer from the old to the new mesh. In dynamic plasticity problems, two kinds of fields have to be transferred: the first is defined thanks to the nodal values and the second one is defined at the integration points. These two kinds of fields are transferred thanks to an original computation of the Data Transfer Method based on the Finite Volume Elements. This method is compared to another one using Mortar Elements to solve metal forming problems. [less ▲]

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See detailComparison of Data Transfer Methods between Meshes in the Frame of the Arbitrary Lagrangian Eulerien Formalism
Bussetta, Philippe ULg; Boman, Romain ULg; Ponthot, Jean-Philippe ULg

in Proceedings of "Fifth International Conference on Advanced COmputationalMethods in ENgineering" (2011, November)

In nonlinear solid Mechanics, the Arbitrary Lagrangian Eulerian (ALE) formalism is a common way to avoid mesh distortion when very large deformations occur in the modelled process. Usually, the ALE ... [more ▼]

In nonlinear solid Mechanics, the Arbitrary Lagrangian Eulerian (ALE) formalism is a common way to avoid mesh distortion when very large deformations occur in the modelled process. Usually, the ALE resolution procedure is based on an “operator split”, the second part of which is a Data Transfer between two meshes sharing the same topology (same number of nodes and same number of element neighbours for each of them). Thanks to this interesting property, classical ALE transfer algorithms can bemuchmore optimised in terms of CPU time than the ones that are used in the frame of a complete remeshing. However, the resulting CPU-efficient transfer schemes suffer from two main drawbacks. The first one is a spurious crosswind diffusion coming from the corner fluxes that have been neglected. The second issue is the number of explicit transfer steps which may become very large when the element size decreases. In this paper, these classical ALE Data Transfer methods are compared to more general algorithms which do not make any assumption on the topology of both meshes. [less ▲]

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See detailComparison of Data Transfer Methods between two different meshes
Bussetta, Philippe ULg; Ponthot, Jean-Philippe ULg

in Proceedings of "IV International Conference on Computational Methods for Coupled Problems in Science and Engineering" (2011, June)

Many problems solved with the finite element method require more than one mesh (i.e. one specific mesh for each Physic or a remeshing is needed). The Data Transfer Method used, has a great importance in ... [more ▼]

Many problems solved with the finite element method require more than one mesh (i.e. one specific mesh for each Physic or a remeshing is needed). The Data Transfer Method used, has a great importance in the capacity to solve the problem and in the reliability of the solution. In general, the data is composed of two kinds of fields (defined thanks to the nodal values or at the integration points). In this paper, the more used Data Transfer Method is compared with the Data Transfer Methods based on a Weak Form (using Mortar Element or Finite Volume). [less ▲]

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See detailComparison of Field Transfer Methods between two meshes
Bussetta, Philippe ULg; Ponthot, Jean-Philippe ULg

in Proceedings of "IV European Conference on Computational Mechanics" (2010)

In many cases, the numerical computation of mechanical problem with Finite Element Method has to transfer some information between two different meshes. For example, if a remeshing is needed or if several ... [more ▼]

In many cases, the numerical computation of mechanical problem with Finite Element Method has to transfer some information between two different meshes. For example, if a remeshing is needed or if several meshes are used (e.g. one for a thermal problem and another one for a mechanical problem). In spite of the research on the Transfer Methods, none of them has been so far clearly established as the best. Each method has advantages and disadvantages. Many problems can happen during the field transfer, like the minimization of the numerical diffusion, the value of the field on the boundaries, etc. This paper compares on the one hand the performances of the Field Transfer Method by classical interpolation with on the other hand one using Mortar Elements. The comparison of the two methods is based on two indicators: the numerical diffusion and the evaluation of the field on the boundaries. In this paper, only the continuous fields are considered. [less ▲]

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See detailModélisation et résolution du problème de contact mécanique et son application dans un contexte multiphysique
Bussetta, Philippe ULg

Doctoral thesis (2009)

The mechanical contact is the problem of solids mechanics that presents the most difficult nonlinearity. The good resolution of the frictional contact problem is disrupted by the noniineaxity and the non ... [more ▼]

The mechanical contact is the problem of solids mechanics that presents the most difficult nonlinearity. The good resolution of the frictional contact problem is disrupted by the noniineaxity and the non differentiability of the contact's equations (stick/unstick and the initiation of sliding). Until now, no method could be used to resolve all contact problems. This work is focused on the methods of calculation of the mechanical contact in a more general way. It could be separated in two parts. The first one concerns the creation of the systems of equations and the algorithm of resolution. The methods more used are the Penalty Method and Lagrangian Augmented Method. Although these methods are simple, they are very difficult to use because the choice of the value of penalty coefficients (normal and tangential). For this reason, a new method, the "Lagrangian Augmented Adapted Method" is proposed. This new method is based on the Lagrangian Augmented Method and on the adaptation of the penalty coefficients. With it, the user does not need to choose the value of penalty coefficients. In addition, this method has the speed of the Penalty Method and the reliability of the Lagrangian Augmented Method. The second part of this work deals with the calculation of the mechanical contact under a spatial disctretization. The method more used is the "Point-Surface" Method. The contact is calculated between every point of one surface and the other surface. This method has many limits, as the representativeness and the regularity of the solution when the boundaries are deformable and irregular. Many researches are done on another method, the "Surface-Surface" Method based on the Mortar Element Method. The mechanical contact is calculated on each node of one surface in function of the two surfaces. With this method the solution is more regular and reliable. But the calculation of the mechanical contact is more difficult, so it can not be used to the three dimensional problems. An adaptation of this method has been proposed to the two and three dimensional problems. All these methods are tested on some academics and industrials multi-physical problems. [less ▲]

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See detailRésolution du problème de contact mécanique frottant : méthode du lagrangien augmenté adapté
Bussetta, Philippe ULg; Marceau, Daniel; Ponthot, Jean-Philippe ULg

in Proceedings of “9ème Colloque National en Calcul des Structures (2009)

Cet article présente une nouvelle méthode de résolution du problème de contact mécanique frottant, celle du lagrangien augmenté adapté. Contrairement aux méthodes les plus utilisées (pénalisation et ... [more ▼]

Cet article présente une nouvelle méthode de résolution du problème de contact mécanique frottant, celle du lagrangien augmenté adapté. Contrairement aux méthodes les plus utilisées (pénalisation et lagrangien augmenté), l’utilisateur ne doit pas déterminer les valeurs des coefficients de pénalisation. Cette méthode est performante aussi bien avec des matériaux élastiques qu’élasto-plastiques. Le problème de Hertz est présenté. Cette méthode est au si utilisée dans le contexte multi-physique. [less ▲]

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