A finite strain constitutive model for metal powder compaction using a unique and convex single surface yield function

Bier, Wolfgang; Hartmann, Stefan

doi:10.1016/j.euromechsol.2006.01.002

Cited by 43 publications

(46 citation statements)

References 47 publications

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“…In [7] an additive decomposition of the strain-rate tensor is used for the constitutive model into an elastic, viscoplastic and a thermal part. The relative density is computed by the mass balance, which is only valid as an approximation, see the discussion in [10]. It is found out that the electrical and thermal fields are remarkably affected by the mechanical field due to the changing geometry and the contact conditions.…”

Section: Wwwgamm-mitteilungenorgmentioning

confidence: 99%

“…Accordingly, a thermo-mechanically consistent thermo-viscoplasticity model with a pressure-dependent yield functions has to be derived. Within the model use is made of the pressure-dependent yield function proposed by [10]. In general very few attempts have been made to develop unified constitutive models for the whole process simulation of compaction and sintering in a thermodynamically consistent manner.…”

Section: Constitutive Modelingmentioning

confidence: 99%

“…[50] developed a finite strain plasticity model for the industrial powder compaction. A model accounting for the cold compaction of metal powders is developed in [10], which consists of a compressible viscoplasticity model with a pressuredependent yield surface. We will follow this model concept and extend it to temperaturedependence and the evolution of tensile strength.…”

Section: Constitutive Modelingmentioning

confidence: 99%

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Field assisted sintering technology. Part I: Experiments, constitutive modeling and parameter identification

et al. 2016

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Field-assisted sintering technology (FAST), also well-known under the term spark-plasma sintering (SPS), is a grown process technology to produce parts made of a powder material. The process itself has the advantage of carrying out compaction, sintering and cooling with high temperature rates in one process step. This is done using an electrical current, which heats the graphite tools and, accordingly, the powder within the die itself. The theoretical description itself is very complicated caused by the fact of having electro-thermomechanical coupling effects, large deformations, contact problems for each field, but the essential point are the amount of experiments required to determine the parameters of the model. In this article, the required experiments to obtain the electrical, thermal and mechanical properties of both materials are discussed, a constitutive model of compressible thermo-viscoplasticity for copper powder is proposed, and aspects of material parameter identification are addressed.

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Section: Wwwgamm-mitteilungenorgmentioning

confidence: 99%

Section: Constitutive Modelingmentioning

confidence: 99%

Section: Constitutive Modelingmentioning

confidence: 99%

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Field assisted sintering technology. Part I: Experiments, constitutive modeling and parameter identification

et al. 2016

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“…The second material model under consideration is a compressible viscoplasticity model for the cold compaction of metal powders, see [5]. This model contains evolution equations, this means a system of ordinary differential equations of first order (ODEs) for the internal variables.…”

Section: Metal Powder Viscoplasticitymentioning

confidence: 99%

Accelerating constitutive modeling by automatic tangent generation

Rothe

Hartmann

2012

Proc Appl Math and Mech

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Within the framework of finite elements the linearization within a Newton-like method requires the computation of the socalled consistent tangent operator. There are several possibilities to get these derivatives. Three methods, namely analytical, numerical and automatic differentiation, for tangent generation will be analyzed concerning the simulation time and applicability for three different constitutive models. These models are a finite strain hyperelasticity model, finite strain viscoplasticity model for metal powders and a small strain thermoviscoplasticity model.

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“…In [33] an additive decomposition of the strain-rate tensor is used for the constitutive model into an elastic, viscoplastic and a thermal part. The relative density is computed by the mass balance, which is only valid as an approximation, see the discussion in [36]. It is found out that the electrical and thermal fields are remarkably affected by the mechanical field due to the changing geometry and the contact conditions.…”

Section: Introductionmentioning

confidence: 99%

Field Assisted Sintering Technology, Part II: Simulation

Rothe

Hartmann

2017

GAMM-Mitteilungen

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Field-assisted sintering technology (FAST) implies a multifield problem between electrical, thermal and mechanical fields. Based on a constitutive model proposed in [1], the numerical treatment of the three-field problem in a monolithic finite element framework is discussed. Apart from algorithmic considerations, numerical simulations are performed treating the complex contact problem, large deformations and the multifield issues themselves. This is combined with a PID-controller, which is required when the temperature process is given at specific positions in the graphite tool system and the electrical current is uncertain. The numerical simulations are validated by real experiments.

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A finite strain constitutive model for metal powder compaction using a unique and convex single surface yield function

Cited by 43 publications

References 47 publications

Field assisted sintering technology. Part I: Experiments, constitutive modeling and parameter identification

Field assisted sintering technology. Part I: Experiments, constitutive modeling and parameter identification

Accelerating constitutive modeling by automatic tangent generation

Field Assisted Sintering Technology, Part II: Simulation

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