Adaptive remeshing based on a posteriori error estimation for forging simulation

Boussetta, Ramzy; Coupez, Thierry; Fourment, Lionel

doi:10.1016/j.cma.2005.06.029

Cited by 49 publications

(36 citation statements)

References 15 publications

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“…In order to avoid the necessity for the user to perform several computations, with different meshes to check the accuracy, an error estimation can be developed using for example the generalization of the method proposed by Zienckiewicz and Zhu. Then, if the rate of convergence of the computation is known, the local mesh refinement necessary to achieve a prescribed tolerance can be computed, and the meshing modules are improved to be able to respect the refinement when generating the new mesh (see [10]), or the achieve the best accuracy for a given maximum nodes number.…”

Section: Meshing Remeshing and Adaptivitymentioning

confidence: 99%

Finite element modelling of forging and other metal forming processes

Chenot

Fourment²,

Ducloux³

et al. 2010

Int J Mater Form

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An erratum to this article can be found at : http://dx.doi.org/10.1007/s12289-010-1000-0International audienceThe fundamental mechanical formulation is recalled for simulation of metal forming processes. The basic principles of 3-dimensional finite element discretization and of time integration are summarized. Several important numerical developments for efficient computation of large plastic deformation are briefly described. Various fields of applications to real processes are reviewed. Illustrative examples are mentioned to show the utilization of the commercial computer code Forge3 in industry, as a very flexible tool to design metal forming sequences

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Section: Meshing Remeshing and Adaptivitymentioning

confidence: 99%

Finite element modelling of forging and other metal forming processes

Chenot

Fourment²,

Ducloux³

et al. 2010

Int J Mater Form

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show abstract

“…The majority of the applications reported in the literature that deal with the elastic deformation of tools is restricted to the utilization of finite elements both in the workpiece material and tools, Boussetta et al [7] and Behrens and Kerkeling [8]. This results in limitations in terms of the size and complexity of the overall computer models when the tools, having complex geometrical shapes, are to be discretized and included in the overall set of finite-element computations.…”

Section: Description Of Toolingmentioning

confidence: 98%

Meshing and Remeshing

Nielsen

Zhang²,

Alves

et al. 2012

Modeling of Thermo-Electro-Mechanical Manufacturing Processes

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A significant amount of time in finite element modeling of manufacturing processes is spent in mesh generation. Setting up three-dimensional meshes is a cumbersome task due to complexity of the processes and the involved geometries. Moreover, additional meshing challenges often appear due to the fact that manufacturing processes based on large plastic deformations present progressive mesh distortion (or degeneracy), potential interference between mesh and contour of the tools and possible contact of the mesh with itself. This poses the need for robust, automatic, mesh generation and regeneration (remeshing) procedures in order to ensure that complex processes are modeled from the beginning to the end with high levels of accuracy both in terms of geometry and distribution of field variables.The choice of element type has large impact on the simulations, and the typical dilemma in three dimensions arises from the selection between tetrahedral and hexahedral elements. The arguments for the tetrahedral elements are the robustness, versatility and availability of meshing algorithms. Based on Delaunay tessellation, Coupez et al.[1] opened the possibility of effectively and automatically simulating the whole forming process of complex three-dimensional parts from beginning to the end. On the other hand, the argument for the hexahedral elements is the accuracy. Furthermore, standard tetrahedral elements suffer from locking due to the incompressibility constraint in plasticity. Second-order tetrahedral elements overcome this problem but perform poorly in the tool-workpiece contact interfaces, often leading to stability problems in the contact algorithms as stated by Tekkaya and Martins [2]. As a result of this, special tetrahedral elements with interior nodes have been developed for preventing locking. These elements, however, still suffer from some of the typical drawbacks of tetrahedral elements: They are overly stiff, very sensitive to mesh orientation and frequently require up to an order of magnitude more elements to achieve the same level of accuracy as hexahedral elements. Benzley et al. [3] also noticed that meshes based on tetrahedral elements result in larger models, and therefore in larger computational requirements, than meshes based on hexahedra for the same level of accuracy. Kraft [4] observed that tetrahedral elements cause critical errors when distorted,

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“…We have chosen an error estimator based on both spatial and time value and hessian of the plastic strain. Some authors [3], [4] have proposed error estimators based on the hessian of the fields (plastic strain) and on local deviation of the solution surface using tangent plane. We experienced that the estimation of the derivatives had to be weighted by the value itself especially when damage occurs.…”

Section: Error Estimationmentioning

confidence: 99%

Improving numerical simulation of metal forming processes using adaptive remeshing technique

2008

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Numerical simulation by finite element of forming processes requires ductile damage. In this context, problems of meshing and remeshing often impede the convergence of the processes and frequent remeshing must be performed in order to avoid severe mesh distortions while adapting the mesh size to the solution (plasticity, damage, temperature). Solutions to this problems are proposed in this paper. Geometrically and physically error estimators have also been developed in order to locate areas where a remeshing is needed. This adaptive scheme has been coupled to ABAQUS/Explicit solver

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Adaptive remeshing based on a posteriori error estimation for forging simulation

Cited by 49 publications

References 15 publications

Finite element modelling of forging and other metal forming processes

Finite element modelling of forging and other metal forming processes

Meshing and Remeshing

Improving numerical simulation of metal forming processes using adaptive remeshing technique

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