An Eulerian approach for die compaction processes

Brekelmans, Wam Marcel; Janssen, JD Jan; Ven, van de Aaf Fons

doi:10.1002/nme.1620310307

Cited by 34 publications

(17 citation statements)

References 5 publications

(4 reference statements)

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“…In this case, the yield surface grows with densification, eventually becoming independent of the hydrostatic stress J 1 at full dense material, where the von-Mises yield surface is generated. This yield surface was developed by authors for porous metal and sintered powder based on an extension of von-Mises's concept [36,37]. If f d = 0.0 leads to the value of J 1 between − φ h f h and + φ h f h , the cone-cap yield surface can be produced from Eq.…”

Section: Model Assessmentmentioning

confidence: 99%

“…A number of constitutive models for the cold compaction of powder materials have been proposed during last three decades, including: microscopic models [31][32][33], flow formulations [34] and solid mechanics models [35][36][37][38]. The experimental results of Watson and Wert [39] and Brown and Abou-Chedid [40] demonstrated that the constitutive modeling of geological and frictional materials can be utilized to construct the suitable phenomenological constitutive models which capture the major features of the response of initially loose powders to the complex deformation processing histories encountered in the manufacture of engineering components by powder metallurgy techniques.…”

Section: Powder Constitutive Modelmentioning

confidence: 99%

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Arbitrary Lagrangian–Eulerian method in plasticity of pressure-sensitive material: application to powder forming processes

et al. 2008

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In this paper, an application of Arbitrary Lagrangian-Eulerian (ALE) method is presented in plasticity behavior of pressure-sensitive material, with special reference to large deformation analysis of powder compaction process. In ALE technique, the reference configuration is used for describing the motion, instead of material configuration in Lagrangian, and spatial configuration in Eulerian formulation. The convective term is used to reflect the relative motion between the mesh and the material. Each time-step is divided into the Lagrangian phase and Eulerian phase. The convection term is neglected in the material phase, which is identical to a time-step in a standard Lagrangian analysis. The stresses and plastic internal variables are converted to account the relative mesh-material motion in the convection phase. The ALE formulation is then performed within the framework of a three-invariant cap plasticity model in order to predict the non-uniform density distribution during the large deformation of powder die pressing. The plasticity model is based on a hardening rule with the isotropic and kinematic material functions. The constitutive elasto-plastic matrix and its components are derived by using the definition of yield surface, material functions and non-linear elastic behavior, as function of hardening parameters. Finally, the numerical examples are performed to illustrate the applicability of the computational algorithm in modeling of powder forming process and the results are compared with those obtained from Lagrangian simulation in order to demonstrate the accuracy of proposed model.

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Section: Model Assessmentmentioning

confidence: 99%

Section: Powder Constitutive Modelmentioning

confidence: 99%

Arbitrary Lagrangian–Eulerian method in plasticity of pressure-sensitive material: application to powder forming processes

et al. 2008

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“…Brekelmans et al [33] modelled the complex shaped die compaction process using the total Lagrangian strategy. In this procedure, the original element mesh was sufficiently accurate for any changes in physical quantity and material properties are captured accurately.…”

Section: Literature Reviewmentioning

confidence: 99%

Development of a finite element model of metal powder compaction process at elevated temperature

Rahman

Ariffin

Nor

2009

Applied Mathematical Modelling

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a b s t r a c tThis paper presents the finite element modelling of metal powder compaction process at elevated temperature. In the modelling, the behaviour of powder is assumed to be rate independent thermo-elastoplastic material where the material constitutive laws are derived based on a continuum mechanics approach. The deformation process of metal powder has been described by a large displacement based finite element formulation. The Elliptical Cap yield model has been used to represent the deformation behaviour of the powder mass during the compaction process. This yield model was tested and found to be appropriate to represent the compaction process. The staggered-incremental-iterative solution strategy has been established to solve the non-linearity in the systems of equations. Some numerical simulation results were validated through experimentation, where a good agreement was found between the numerical simulation results and the experimental data.

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“…During the last twenty years, several research groups have developed different numerical models to capture the evolution of the most relevant properties such as density and applied forces, during the compaction process. Most of them [2][3][4][5][6][7][8][9] have concentrated their efforts on the numerical simulation of the compaction itself and some [10][11][12] have included the transfer stage. However, die filling has been little analysed.…”

Section: Introductionmentioning

confidence: 99%

Flow regime analyses during the filling stage in powder metallurgy processes: experimental study and numerical modelling

et al. 2010

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Experimental and numerical studies of powder\ud flow during the die filling stage in powder metallurgy cold\ud compaction processes are presented. An experimental setting\ud consisting of a horizontal pneumatically activated shoe,\ud a vertical die and high-speed video system has been designed.\ud The experiments show the existence of three flow regimes:\ud continuous, transitory and discrete, which are identified in\ud terms of the particle size, the morphology and the speed of\ud the shoe. In the continuous regime the powder flows in a progressive\ud manner but in the discrete one some perturbations\ud appear as a consequence of a shear band formation that forms\ud discrete avalanches. A numerical model, based on a ratedependent\ud constitutive model, via a flow formulation, and in\ud the framework of the particle finite element method (PFEM)\ud is also proposed. For the purpose of this study, the use of the\ud PFEM assumes that the powder can be modelled as a continuous\ud medium. The model, provided with the corresponding\ud characterisation of the parameters, is able to capture the two\ud fundamental phenomena observed during the filling process:\ud (1) the irreversibility of most of the deformation experienced\ud by the material and (2) the quick dissipation of the potential\ud gravitatory energy of the granular system through the inter-particle friction processes, modelled by the plastic dissipation\ud associated with the material model. Experimental and\ud numerical results have been compared in order to study the\ud viability of the proposed model.Peer ReviewedPreprin

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An Eulerian approach for die compaction processes

Cited by 34 publications

References 5 publications

Arbitrary Lagrangian–Eulerian method in plasticity of pressure-sensitive material: application to powder forming processes

Arbitrary Lagrangian–Eulerian method in plasticity of pressure-sensitive material: application to powder forming processes

Development of a finite element model of metal powder compaction process at elevated temperature

Flow regime analyses during the filling stage in powder metallurgy processes: experimental study and numerical modelling

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