Particle size distribution by area analysis: Modifications and extensions of the Saltykov method

Lewis, H. D.; Walters, K.L.; Johnson, Kelleigh

doi:10.1016/0026-0800(73)90001-3

Cited by 20 publications

(8 citation statements)

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“…5. Since the position of the test plane cutting across the foam sample is entirely random, the diameter of the pore observed on the cut surface is often smaller than the diameter of the bubble that is being cut (if the test plane did not intercept the center of the bubble) [17].…”

Section: Resultsmentioning

confidence: 99%

“…The number of pores in each interval was then counted and recorded as N Ai , where i = 1, 2, …, n . Assuming that the largest diameter of the two‐dimensional pore is equal to that of the largest three‐dimensional cell in the foam and then dividing the three‐dimensional cell diameters into the same n intervals, the three‐dimensional cell size distribution can be projected from the two‐dimensional size distribution as follows: where N Vj is the number of cells in each diameter interval, and D j , j = 1, 2, …, n , is the upper bound of the j th diameter interval, and p j are the Saltykov coefficients, which have been previously determined [17]. Equation 2 gives the corrected number of three‐dimensional cells in a certain size group by subtracting the contributions from cells in larger three‐dimensional size groups that may be intersected by a random plane to give some number of two‐dimensional pores falling into this size group [22].…”

Section: Resultsmentioning

confidence: 99%

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Extruded foams from microbial poly(3‐hydroxybutyrate‐co‐3‐hydroxyvalerate) and its blends with cellulose acetate butyrate

Liao

Tsui

Billington

et al. 2012

Polymer Engineering & Sci

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Extrusion foaming of poly(3‐hydroxybutyrate‐co‐3‐hydroxyvalerate) (PHBV) and two blends of PHBV with cellulose acetate butyrate (CAB) were studied using an azodicarbonamide (AZ) blowing agent and a single‐screw extruder. The concentration of the blowing agent was systematically varied from 0 to 4.0 phr to achieve maximum density reduction reaching 41%, as well as to obtain information on the dependence of cell growth on blowing agent concentration. Extruded foams were characterized in terms of their bulk densities and cellular morphologies. Stereological and statistical methods permitted full characterization of the three‐dimensional cell size distributions, assessing the average cell diameters (ranging from 58 to 290 μm) and cell densities (ranging from 650 to 180,000 cm−3). The variation in cellular morphology among foams consisting of different polymer matrix or blowing agent concentration was compared. The results were analyzed by considering the influence of viscoelastic properties of the polymer matrix on the bubble growth during foaming. Significantly higher melt viscosity and elasticity and reduced gas solubility of the PHBV/CAB blends are believed to retard cell coalescence and collapse during foam expansion, resulting in more uniform cell size distribution and better homogeneity of cellular morphology. POLYM. ENG. SCI., 2012. © 2012 Society of Plastics Engineers

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Section: Resultsmentioning

confidence: 99%

Section: Resultsmentioning

confidence: 99%

Extruded foams from microbial poly(3‐hydroxybutyrate‐co‐3‐hydroxyvalerate) and its blends with cellulose acetate butyrate

Liao

Tsui

Billington

et al. 2012

Polymer Engineering & Sci

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“…Average EDX data were obtained from several independent measurements from each phase. Grain size measurements were carried out using the Saltykov method (mean of several regions) [9]. Samples for grain analysis were etched with Villela's reagent to reveal grain boundaries.…”

Section: Methodsmentioning

confidence: 99%

The influence of process parameters and alloy structure on the magnetic properties of NdDyFeBNb HD sintered magnets

Takiishi

Lima

Costa

et al. 2004

Journal of Materials Processing Technology

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“…It is advisable to choose the function (a) in such a way that the value will be related to an experimentally measurable quantities. We have chosen function () in such a way that limit values of variable are consistent with values obtained in procedures realized at analysis of particles orientation using Saltykov method [1,2]. Experimental estimation of grains orientation degree using this method is relatively simple.…”

Section: Quantitative Analysis Of Grains Orientationmentioning

confidence: 99%

A novel approach to quantitative analysis of the local deformation in grained structure

Minárik

Martinkovič

2017

IOP Conf. Ser.: Mater. Sci. Eng.

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A novel approach to quantitative analysis of the local deformation in grained structure Abstract. Novel technique for identifying and quantification of local deformation phenomena in continuum model of grained solid structure is presented in this paper. We propose a method that combines deformation properties of structure with the changes of grains geometry deformed under the influence of local force. Experimental analyses of grains shapes subjected to a local force show a specific spatially oriented prolongation of grains in direction determined by applied force. However the volume of each grain is retained during the force application in case of plastic deformation. Character of individual grain prolongation depends on the initial shape of grain and direction of loading force. There is a definite relationship between the change in grain shape and nature of the driving deformation force. We contribute to the revealing of mentioned relationship because of we propose and analyze a method for quantification of the effect of grain shape modification on the basis of grain deformation. Quantitative analysis of local deformation in grained structure can be realized in a perspective using mentioned method. Map of local deformation data in grained system can be constructed in this way and next the local deformation dynamics analysis can be performed. However precision of mentioned analysis must be proven by evaluating of its practical predictive performance in future.

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Particle size distribution by area analysis: Modifications and extensions of the Saltykov method

Cited by 20 publications

References 1 publication

Extruded foams from microbial poly(3‐hydroxybutyrate‐co‐3‐hydroxyvalerate) and its blends with cellulose acetate butyrate

Extruded foams from microbial poly(3‐hydroxybutyrate‐co‐3‐hydroxyvalerate) and its blends with cellulose acetate butyrate

The influence of process parameters and alloy structure on the magnetic properties of NdDyFeBNb HD sintered magnets

A novel approach to quantitative analysis of the local deformation in grained structure

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