Densification mechanism maps for hot isostatic pressing (HIP) of unequal sized particles

Modeling of densification process for particle reinforced composites

“…The chosen semi-empirical equation for the calculation of the cumulative RDF curve shows a very good match with the known analytical calculations and experimental results [12,13,14]. That means that accuracy, simplicity and the fact that the important part of the function is in the narrow range (from 1 to 1.16) are the basic reasons why RDF is chosen for the modeling in the case of this work.…”

“…Determination of a specific equation for the P factor between the particles that are not of the same size is still impossible. Generally, it can be assumed that P = 1/2 for the case when the volumes of translated material from every particle are equal [12,15], but for the case of the composite mixtures, this assumption is not applicable. In this work, i.e.…”

Dynamic Simulation of Random Packing of Polydispersive Fine Particles

“…(12). However, due to the long-wavelength cooperative modes [36] present in the dynamics of many colliding particles, the dissipation forces are rather inefficient to Figure 2: Snapshots of the packing process of monosized particles (R = 2.0 µm) inside a 300 µm × 500 µm box at the instants t = 0.0 ms (a), t = 1.0 ms (b), t = 3.0 ms (c) and t = 7.0 ms (d).…”

“…Some applications are found in modeling of ideal liquids [1,2], amorphous materials [3,4], granular media [5], emulsions [6], glasses [7], jamming [8], ceramic components [9,10] and densification processes during sintering [11,12]. The understanding of the final structure of the particles aggregation is important because its physical properties may depend on the packing features such as packing density, mean coordination number, porosity and radial distribution function (RDF).…”

Finite-Element Modeling of Titanium Powder Densification

“…It is technically important to consider consolidation with mixed particle sizes (sc-2 in this study) and different shapes to capture finer features during consolidation (such as higher stress on smaller powder) as recognized in the continuum modeling in the literature. [44,45] In this study, to account for the different powder size for better initial relative density (60 pct), powders with two sizes (with a radius ratio of 1.566:1) and equal number were packed in simple cubic configuration (or alternating along all three directions) as shown in Figure 3. In contrast with the condition of no sliding among powders used in the single-powder sc configuration, interpowder sliding in the sc-2, and the bcc and fcc configurations is allowed to reflect the nature of multipowder deformation during densification.…”