Particulate Scale Numerical Investigation on the Compaction of TiC-316L Composite Powders

Wang, Defeng; An, Xizhong; Han, Peng; Fu, Haitao; Yang, Xiaohong; Zou, Qingchuan

doi:10.1155/2020/5468076

Cited by 8 publications

(9 citation statements)

References 51 publications

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“…On the other hand, introducing the correct particle shape deformations in numerical simulations with discrete element methods gives rise to various technical difficulties, mainly seen in the increase of the computational time. Regarding this, different discrete element strategies have been proposed, such as the bonded-particle method [32,33] and couplings between classical finite element or meshless methods [34][35][36][37][38][39]. The latter methods, although computationally expensive, have the advantage of closely representing the geometry of the particles.…”

Section: Introductionmentioning

confidence: 99%

Micromechanical description of the compaction of soft pentagon assemblies

et al. 2021

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We analyze the isotropic compaction of assemblies composed of soft pentagons interacting through classical Coulomb friction via numerical simulations. The effect of the initial particle shape is discussed by comparing packings of pentagons with packings of soft circular particles. We characterize the evolution of the packing fraction, the elastic modulus, and the microstructure (particle rearrangement, connectivity, contact force, and particle stress distributions) as a function of the applied stresses. Both systems behave similarly: the packing fraction increases and tends asymptotically to a maximum value φ max , where the bulk modulus diverges. At the microscopic scale we show that particle rearrangements occur even beyond the jammed state, the mean coordination increases as a square root of the packing fraction, and the force and stress distributions become more homogeneous as the packing fraction increases. Soft pentagons experience larger particle rearrangements than circular particles, and such behavior decreases proportionally to the friction. Interestingly, the friction between particles also contributes to a better homogenization of the contact force network in both systems. From the expression of the granular stress tensor we develop a model that describes the compaction behavior as a function of the applied pressure, the Young modulus, and the initial shape of the particles. This model, settled on the joint evolution of the particle connectivity and the contact stress, provides outstanding predictions from the jamming point up to very high densities.

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Section: Introductionmentioning

confidence: 99%

Micromechanical description of the compaction of soft pentagon assemblies

et al. 2021

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“…The compaction of soft granular matter, especially beyond the jamming point, is a broad issue increasingly studied in the literature. Innovative experiments [26][27][28][29][30][31] and advanced numerical methods (including discrete element methods [31][32][33][34][35][36], meshless approaches [29,37,38], and coupled finite-discrete element methods [39][40][41][42]) have made it possible to take a step forward in the understanding of the microstructural evolution beyond the jamming point. However, a theoretical modeling of the compaction process is still missing.…”

Section: Introductionmentioning

confidence: 99%

“…For assemblies of two distinct solid granular phases (i.e., for binary mixtures), the, so far, adopted strategies consist of using existing compaction equations for a single granular phase and free-parameter fitting [42,61]. However, an attempt to predict the compaction behavior of mixtures of rigiddeformable particles can be attributed to Platzer et al [29], who studied mixtures of sand with rubber particles.…”

Section: Introductionmentioning

confidence: 99%

Compaction of mixtures of rigid and highly deformable particles: A micromechanical model

et al. 2020

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We analyze the isotropic compaction of mixtures composed of rigid and deformable incompressible particles by the nonsmooth contact dynamics approach. The deformable bodies are simulated using a hyperelastic neo-Hookean constitutive law by means of classical finite elements. We characterize the evolution of the packing fraction, the elastic modulus, and the connectivity as a function of the applied stresses when varying the interparticle coefficient of friction. We show first that the packing fraction increases and tends asymptotically to a maximum value φ max , which depends on both the mixture ratio and the interparticle friction. The bulk modulus is also shown to increase with the packing fraction and to diverge as it approaches φ max . From the micromechanical expression of the granular stress tensor, we develop a model to describe the compaction behavior as a function of the applied pressure, the Young modulus of the deformable particles, and the mixture ratio. A bulk equation is also derived from the compaction equation. This model lays on the characterization of a single deformable particle under compression together with a power-law relation between connectivity and packing fraction. This compaction model, set by well-defined physical quantities, results in outstanding predictions from the jamming point up to very high densities and allows us to give a direct prediction of φ max as a function of both the mixture ratio and the friction coefficient.

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“…The compaction mechanism of soft granular matter, especially beyond the jamming point, is a broad issue increasingly studied in the literature both experimentally [26][27][28][29][30][31] and numerically through discrete element methods [31][32][33][34][35][36], meshless approaches [28,37,38] or coupled finite-discrete element methods [39][40][41][42]. Still, even if many descriptions of these systems have been made, an understanding of the main mechanisms and theoretical framework is missing.…”

Section: Introductionmentioning

confidence: 99%

“…For assemblies of two distinct solid granular phases (i.e., for binary mixtures), the, so far, adopted strategies consist in using existing compaction equations for a single granular phase and free-parameter fitting [42,61]. However, and to our best knowledge, the first attempt to predict the compaction behavior of mixtures of rigiddeformable particles can be attributed to Platzer et al [28], who studied mixtures of sand with rubber particles.…”

Section: Introductionmentioning

confidence: 99%

Compaction of mixtures of rigid and highly deformable particles: a micro-mechanical model

Cárdenas-Barrantes,

Cantor,

Barés

et al. 2020

Preprint

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We analyze the isotropic compaction of mixtures composed of rigid and deformable incompressible particles by the non-smooth contact dynamics approach (NSCD). The deformable bodies are simulated using a hyper-elastic neo-Hookean constitutive law by means of classical finite elements. For mixtures that varied from totally rigid to totally deformable particles, we characterize the evolution of the packing fraction, the elastic modulus, and the connectivity as a function of the applied stresses when varying inter-particle coefficient of friction. We show first that the packing fraction increases and tends asymptotically to a maximum value φmax, which depends on both the mixture ratio and the inter-particle friction. The bulk modulus is also shown to increase with the packing fraction and to diverges as it approaches φmax. From the micro-mechanical expression of the granular stress tensor, we develop a model to describe the compaction behavior as a function of the applied pressure, the Young modulus of the deformable particles, and the mixture ratio. A bulk equation is also derived from the compaction equation. This model lays on the characterization of a single deformable particle under compression together with a power-law relation between connectivity and packing fraction. This compaction model, set by well-defined physical quantities, results in outstanding predictions from the jamming point up to very high densities and allows us to give a direct prediction of φmax as a function of both the mixture ratio and the friction coefficient.

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Particulate Scale Numerical Investigation on the Compaction of TiC-316L Composite Powders

Cited by 8 publications

References 51 publications

Micromechanical description of the compaction of soft pentagon assemblies

Micromechanical description of the compaction of soft pentagon assemblies

Compaction of mixtures of rigid and highly deformable particles: A micromechanical model

Compaction of mixtures of rigid and highly deformable particles: a micro-mechanical model

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