Quantification of lubrication and particle size distribution effects on tensile strength and stiffness of tablets

Razavi, Sonia M.; Gonzalez, Marcial; Cuitiño, Alberto M.

doi:10.1016/j.powtec.2018.06.001

Cited by 21 publications

(16 citation statements)

References 56 publications

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“…where the Young's modulus of a fully dense tablet E 0 = 2.224 GPa, the exponent n = 0.2873 and the critical relative density ρ c,E = 0.6423 are best-fitted to the numerical results for Material 1-E 0 = 9.345 GPa, n = 0.285 and ρ c,E = 0.6262 for Material 2. These values shown in Figure 20 are in agreement with those obtained for two grades on lactose, at different lubrication levels, using an ultrasound transmission technique [60,61]. Equation (24) is a semi-empirical relationship derived by Phani and Niyogi for porous solids [58].…”

Section: Young's Modulus and Poisson's Ratio Of The Compacted Solidsupporting

confidence: 84%

“…It is interesting to note that a factor of two in κ translates into a factor of two in K P , as noted in [27] for K Ic = 0. As mentioned above, the compaction curves shown in Figure 13 represent lower and upper bounds for many pharmaceutical powders, including drugs and excipients [44,64]e.g., ammonium chloride's compaction curve is similar to Material 1, and lactose monohydrate's compaction curve to Material 2 [61].…”

Section: Punch Force and Die-wall Reactionmentioning

confidence: 72%

“…Figure 21 uses equations (15), (20), (16) and (24) to represent this interrelationship for Materials 1 and 2. It is worth noting that this interrelationships can not only be used to design a material with targeted quality attributes (see, e.g., [75,78,59,60,61]) but it can also be used to control the manufacturing process to assure such quality attributes are achieved (see, e.g., [74]). Figure 21: Interrelationship between process variables (namely compaction and ejection pressures), material properties (i.e., E, ν, κ, m and K Ic ) and critical quality attributes of the compact (namely the tablet Young's modulus).…”

Section: Microstructure-mediated Process-structure-property-performanmentioning

confidence: 99%

“…However, one can assume that an upper bound for the bonding surface involved in the formation of solid bridges is the particle-to-particle contact area created during compaction. It bears emphasis that the presence of lubricants in the formulation can diminish the bonding surface, and thus the tablet strength [39,12,61]. The most common lubricant used in pharmaceutical tablets is magnesium stearate, typically prepared as a small particle size ingredient.…”

Section: Introductionmentioning

confidence: 99%

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Generalized loading-unloading contact laws for elasto-plastic spheres with bonding strength

Gonzalez¹

2019

Journal of the Mechanics and Physics of Solids

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We present generalized loading-unloading contact laws for elasto-plastic spheres with bonding strength. The proposed mechanistic contact laws are continuous at the onset of unloading by means of a regularization term, in the spirit of a cohesive zone model, that introduces a small and controllable error in the conditions for interparticle breakage. This continuity property is in sharp contrast with the behavior of standard mechanistic loading and unloading contact theories, which exhibit a discontinuity at the onset of unloading when particles form solid bridges during plastic deformation. The formulation depends on five material properties, namely two elastic properties (Young's modulus and Poisson's ratio), two plastic properties (a plastic stiffness and a power-law hardening exponent) and one fracture mechanics property (fracture toughness), and its predictions are in agreement with detailed finite-element simulations. The numerical robustness and efficiency of the proposed formulation are borne out by performing three-dimensional particle mechanics static calculations of microstructure evolution during the three most important steps of powder die-compaction, namely during compaction, unloading, and ejection. These simulations reveal the evolution, up to relative densities close to one, of microstructural features, process variables and compact mechanical attributes which are quantitatively similar to those experimentally observed and in remarkable agreement with the (semi-)empirical formulae reported in the literature.

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Section: Young's Modulus and Poisson's Ratio Of The Compacted Solidsupporting

confidence: 84%

Section: Punch Force and Die-wall Reactionmentioning

confidence: 72%

Section: Microstructure-mediated Process-structure-property-performanmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Generalized loading-unloading contact laws for elasto-plastic spheres with bonding strength

Gonzalez¹

2019

Journal of the Mechanics and Physics of Solids

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“…(1), that is, Hertz solution (Razavi et al, 2018): where 1 is the tensile strength, F is the breaking force, D is the diameter of the tablet, and t is its thickness as shown in Figure 1a. The above expression is valid for flat cylindrical tablets that fail in tension across the symmetry plane of the loaded diameter.…”

Section: Tensile Strengthmentioning

confidence: 99%

Influence of the formula on the properties of a fast dispersible fruit tablet made from mango, Chlorella, and cactus powder

Sun

Wang

et al. 2019

Food Science & Nutrition

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Tableting of fruit powders is gaining popularity because of the advantages it brings in, such as ease of storage, transportation, and use, and effervescent tablets could be a good alternative to accomplish fast dissolving. The present study provides a specific effervescent tablet formulation that is appropriate for the delivery of mango, cactus, and Chlorella fruit powder. The direct compression method was employed. A series of disintegration time, tensile strength, and moisture content tests were performed on the different formulations at each stage. The effects of effervescent agents' ratio, fruit powder proportion, acid and alkali content, and mannitol and lactose content on tablet properties were investigated. The results indicated that the tablet properties were highly influenced by formulation, especially the ratios of effervescent agents, fruit powders, acid to alkali ratio, as well as mannitol to lactose ratio. The best performing formulation was as follows, 45% effervescent agents (citric acid monohydrate:sodium bicarbonate = 1.3:1), 35% adhesives (mannitol:lactose = 1:8), and 20% mixed fruit powders (mango:cactus:Chlorella fruit powders = 14:5:1). With this formula, the moisture content was 3.62% and the disintegration time was 154 s, as well as a sufficient tensile strength of 2.32 MPa. Our study presented useful findings regarding the specific effects of changing ingredient ratios on tablet strength and other properties and provided a basis for the potential of using mango, cactus and microalgae powders as novel functional ingredients for fruit powder effervescent tablets. This may be used as a basis for further research on tableting.

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A Process-Based Pore Network Model Construction for Granular Packings Under Large Plastic Deformations

Martins

Gonzalez

2022

Transp Porous Med

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We propose a process-based method for constructing a pore network model of granular packings under large deformations. The method uses the radical Voronoi tessellation and constructive solid geometry (CSG) operations on meshes of deformed particles, to construct a threedimensional solid of the pore network and estimate its geometric characteristics, CTS-model parameters and flow transport properties, and it uses the particle mechanics approach to model consolidation of powders under large deformations. This process-based method thus explicitly simulates not only a packing of grains but also its corresponding consolidation process, which in this work is restricted to powder die compaction up to a relative density close to one (i.e., to die filling, compaction to low porosity, unloading, and ejection). The efficacy of the proposed method is borne out by studying granular packings with the same composition, namely a 50-50 binary mixture of two monodisperse systems comprised by elasto-plastic spheres with bonding strength, but with microstructures which are topologically different, namely a random packing, a bilayer, and core-shell structures. These simulations reveal that topological differences affect the formation and evolution of the pore space statistical signature during consolidation and, therefore, showcase that process-based approaches for constructing PNM are of paramount relevance to understanding architectured granular material systems.

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Quantification of lubrication and particle size distribution effects on tensile strength and stiffness of tablets

Cited by 21 publications

References 56 publications

Generalized loading-unloading contact laws for elasto-plastic spheres with bonding strength

Generalized loading-unloading contact laws for elasto-plastic spheres with bonding strength

Influence of the formula on the properties of a fast dispersible fruit tablet made from mango, Chlorella, and cactus powder

A Process-Based Pore Network Model Construction for Granular Packings Under Large Plastic Deformations

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