Physics-Based Constitutive Model of Porous Materials for Die/Isostatic Compaction of Metallic Powders

Seong, Yujin; Yim, Dami; Jang, Miso; Park, Jeong Min; Park, Seong Jin; Kim, Hyoung Seop

doi:10.1007/s12540-019-00317-z

Cited by 8 publications

(14 citation statements)

References 34 publications

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“…The porous continuum model used in this continuum‐based approach has generally performed well for high relative density regions above 0.5 in porous materials, including powders with a tap density or higher. [ 25,26 ] It is remarkable that, as shown in Figure 4, this approach can also be applied to model cellular structures even at low relative densities. In the yield function used in the porous solid model (cf.…”

Section: Resultsmentioning

confidence: 99%

“…A continuum approach to modeling of compaction of porous materials can be adopted for simulations of compression of crumpled thin foils as a potent alternative to direct simulations described earlier. We shall base the constitutive description of a continuum with porosity representing a crumpled foil material on the density‐dependent yield function approach proposed in the study by Kim et al and Seong et al [ 25,26 ] Specifically, a Green/Shima‐type yield function for a porous material with a relative density R is taken in the form

A false(R false) q^{2} + B false(R false) p^{2} = η false(R false) Y_{0}^{2} = Y_{normalR}^{2}

where A( R ), B( R ), and η( R ) are functions of R , q is the von Mises (deviatoric) effective stress, p is the hydrostatic pressure, Y 0 is the yield stress of nonporous monolithic material, and Y R is the yield stress of porous material with relative density R . In this study, we employed the model [ 25 ] for a continuum description of a crumpled material containing pores.…”

Section: Simulation Proceduresmentioning

confidence: 99%

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Finite Element Modeling of Crumpling of Metallic Thin Foil

et al. 2023

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Crumpled metallic thin foils are very promising as weight‐saving and energy‐absorption materials that can easily be fabricated. To achieve practical industrial applications, it is necessary to improve the understanding of the process of crumpling and the mechanical behavior of crumpled materials considering their complex internal structures. Herein, two possible strategies for computational simulations of crumpled material under closed‐die compression are presented for the first time. The first one entails computations performed at the scale of the foil (direct method), while the second one considers the structure as a continuum with porosity. The analysis performed shows that the continuum‐based approach is more suitable for representing the macroscopic mechanical behavior of crumpled materials with the relative densities ranging from 2% to 40%. An additional benefit is the low computational cost and high efficacy of the porous continuum approach. However, the direct method is shown to be the preferable computational tool when the internal structural patterns changes need to be adequately reproduced, e.g., for a better prediction of the mechanical response under complex loading conditions.

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Section: Resultsmentioning

confidence: 99%

A false(R false) q^{2} + B false(R false) p^{2} = η false(R false) Y_{0}^{2} = Y_{normalR}^{2}

Section: Simulation Proceduresmentioning

confidence: 99%

Finite Element Modeling of Crumpling of Metallic Thin Foil

et al. 2023

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“…Among the numerous pressure-dependent constitutive models [20][21][22][23], the Drucker-Prager Cap (DPC) model is widely used to simulate the fabrication process of powderbased superconducting wires to predict the powder density or analyze the effect of process parameters on powder density [24][25][26][27][28][29]. Shah et al [24] first built a model for the drawing process of the Bismuth-Strontium-Calcium-Copper-Oxide (BSCCO) superconducting wire using the DPC model to predict the powder density and the drawing force.…”

Section: Introductionmentioning

confidence: 99%

Superconducting MgB2 Wire Drawing Considering Anisotropic Hardening Behavior and Hydrostatic Effect

Lee

Chung

et al. 2021

Met. Mater. Int.

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Numerical modeling was conducted to investigate the deformation behavior of powder mixture during multi-pass drawing processes for multi-filamentary MgB 2 wire. A modified Drucker-Prager Cap (DPC) model with an elliptical cap surface using the new material characterization method was developed to capture the anisotropic hardening behavior and hydrostatic effect of the powder mixture. A number of uniaxial die compaction, cold isostatic pressing, diametrical compression, and uniaxial compression tests were conducted using different powder densities to characterize the modified DPC model. A commercial finite element software ABAQUS with a user subroutine was used to simulate the drawing of the MgB 2 wire. The density and area fraction of the powder mixture during the wire-drawing process were verified with experimental results. The difference in packing density at the inner and outer filaments of the MgB 2 wire was successfully captured by simulation. In addition, the effect of the initial packing density on the superconducting properties of MgB 2 wire was numerically studied. It is shown that the increase in the superconducting area, which results from a high initial packing density, should be more effective compared to the increase in the grain connectivity in enhancing the critical current properties for the MgB 2 wire when the final packing density is saturated after a number of drawing processes.

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“…Transportation of sealed containers with a powder product with a high content of gas in its pores, in particular, for construction or food purposes, violates the principles of energy saving and energy efficiency. In contrast to the pressing of powders (Pizette et al, 2010;Bayle et al, 2016;Seong et al, 2020) or larger particles (Gai et al, 2005), deaeration refers to its initial stage, when there is no destruction of particles of the compacting medium. If it is necessary to obtain a special structure of a dispersed medium with given strength characteristics, it is advisable to use a mechanical deaeration method (Akiyama et al, 1986;Kapranova and Zaitzev, 2011) in particular, when obtaining granules from bitumen and mineral powder (Zaitsev et al, 2010), dry dye mixtures.…”

Section: Introductionmentioning

confidence: 99%

“…For these purposes, as a rule, the mechanics of heterogeneous systems are used (Nigmatulin, 1978;Generalov, 2002). The analytical results (Kapranova et al, 2000;Kapranova, 2010;Kapranova et al, 2015) when describing the behavior of the system solid particles-gas have some advantages over numerical solutions, (Pizette et al, 2010;Bayle et al, 2016;Seong et al, 2020) for example, when choosing rational ranges for changing the main parameters of the compaction process or when evaluating their optimal values (Kapranova et al, 2001;Kapranova et al, 2006a;Kapranova et al, 2006b). The importance of understanding the mechanism of the behavior of compacted materials is obvious for any type of modeling methods: analytical (Kapranova and Zaitzev, 2011;Kapranova et al, 2015;Udalov et al, 2019) or numerical (Khoei, 2005;Pizette et al, 2010;Bayle et al, 2016;Seong et al, 2020).…”

Section: Introductionmentioning

confidence: 99%

Mathematical Model of the Deaeration of Finely Dispersed Solid Media in a Spherical Matrix of a Roller-Type Apparatus

et al. 2021

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The additional operation of deaeration (compaction) of powders affects the quality of many products of chemical industries, the conditions for their delivery. Otherwise, energy consumption increases significantly. The aim of this work is the modeling of the deaeration of solid finely dispersed media in a gap with perforated hemispherical shapes on the surfaces of the shaft and conveyor belt within the framework of the mechanics of heterogeneous systems. A plane-deformation model is described, neglecting the forces of interphase interaction and taking into account the compressibility of a solid-particle-gas mixture without elastoplastic deformations. The model assumes consideration of the movement of (1) the components of the solid skeleton together with the carrying phase as a whole; (2) gas in an isothermal state through the pores of a finely dispersed material. This work is devoted to the study of part (a), i.e., behavior of the solid particle-gas system as a whole. The efficiency of the seal-deaerator is estimated using the obtained analytical dependencies for the main strength and speed indicators. The change in the degree of compaction of a spherical granule made of kaolin with given strength characteristics is investigated. It is shown that for the initial time interval up to 3.7⨯10−2 s, the growth of the porosity value relative to the horizontal coordinate along the conveyor belt is exponential and increases by a factor of 1.1. After eight such time intervals, the porosity values stabilize along the indicated coordinate with an increase of more than 1.4 times from the initial value.

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Physics-Based Constitutive Model of Porous Materials for Die/Isostatic Compaction of Metallic Powders

Cited by 8 publications

References 34 publications

Finite Element Modeling of Crumpling of Metallic Thin Foil

Finite Element Modeling of Crumpling of Metallic Thin Foil

Superconducting MgB2 Wire Drawing Considering Anisotropic Hardening Behavior and Hydrostatic Effect

Mathematical Model of the Deaeration of Finely Dispersed Solid Media in a Spherical Matrix of a Roller-Type Apparatus

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