Topics Covered
Introduction
Abrasives
Determination of Particle Size of Abrasives
Particle Size and Shape Parameters
Particle Size Analysis Results
Particle Images
Conclusions
Introduction
Many abrasives are either natural or synthetic minerals used to shape or finish a work piece through rubbing which leads
to part of the piece being worn away. They are used in a wide range of domestic and industrial applications, giving rise to a
wide range of chemical composition, physical size, and shape of the abrasive material. This study utilizes automated image
analysis to quantify the size and shape of various abrasive materials.
Abrasives
Abrasive minerals typically rely on a difference between the hardness of the abrasive and the material being worked upon,
with the abrasive
being the harder substance. Most are natural or synthetic minerals rated 7 or above on the Mohs scale of hardness. These
minerals are
either classified or crushed to a specified size ranging from around 10 μm to 2 mm. These particles called grit
typically have rough edges
(see Figure 1) in order to decrease the surface area in contact with the work piece and increase the localized contact
pressure. Factors
that influence the rate of abrasion include:
- The difference in hardness between the abrasive and work piece
- The size of the particles (grit size); larger particles cut faster and deeper
- The shape of the particles, including the number of rough corners
- The contact force applied to the process
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Figure1: Abrasive Particles
Common abrasive materials include sand, garnet, diamond (synthetic), silicon carbide, aluminum oxide, boron nitride,
ceramic materials, zirconia alumina, and many others. The grit size is a number used to describe the number of openings per
linear inch in a sieve to classify the particle size. Low grit numbers are coarser and higher grit numbers are finer.
Determination of Particle Size of Abrasives
Several abrasive powder samples were analyzed for particle size and shape using the PSA300 image analyzer. The samples are designated small,
medium, and large. The small and medium samples are typical mineral abrasives and the large is synthetic diamonds. These
samples were prepared using the Sample Disperser (Figure 3) and analyzed using the Horiba PSA300 (Figure 2). The small sample was measured using the
200x objective and the medium and large samples were measured using the 25x objective.
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Figure 2: The PSA300
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Figure 3: Sample Disperser
Settings used for the Sample Disperser are shown below:
Vacuum = 200 Torr
Time = 250 ms
Particle Size and Shape Parameters
The PSA300 quantifies particle size and shape using a
variety of descriptive parameters. After preliminary studies on a few samples the following size and shape values were chosen
for these abrasive samples:
| Value |
Definition |
| Spherical Volume |
Median particle size based
on the volume distribution
assuming particles are
spheres*
Vsph = π/6 Circular diameter3
Circle Diameter = Mean chord ×1.27324 |
| Roundness |
4 x Area/(π x L x L)
A sphere has a roundness
value of 1.0. This value
decreases (.9, .8, .7, etc.)
as the particles become less
spherical |
| Aspect Ratio |
Longest Feret Length/
Shortest Feret Length |
| Compactness |
4 p Area/ Convex Perimeter2 |
*Note: The PSA300 software can also
construct
the volume assuming other particle shapes
including cylindrical, ellipsoidal, and tetragonal.
In addition, a custom Angularity Roundness calculation was created to characterize abrasive particles. The number of sharp
tips can be an indicator of abrasive effectiveness. This calculation counts the sharp tips on particles, and then weights the
calculation including information about the particle roundness to emphasize sharp edges protruding from a round particle. The
edges are defined and labeled as child objects. The Angularity Roundness is then calculated as:
| Value |
Definition |
| Angularity Roundness |
roundness x child area |
Particle Size Analysis Results
Table 1 below shows the results for the three abrasive samples as described by the chosen size and shape descriptors.
Note: Vol = spherical volume distribution, Round = Roundness, Comp = Compactness, AR = Aspect Ratio, Ang = Angularity
Roundness. All shape descriptor values are reported on a count basis.
| Sample |
Vol |
Round |
Comp |
AR |
Ang |
| Small (µm) |
| d10 |
16 |
0.5 |
0.8 |
1.1 |
1.2 |
| d50 |
38.8 |
0.7 |
0.9 |
1.3 |
2.3 |
| d90 |
63.1 |
0.9 |
0.9 |
1.8 |
3.6 |
| Medium |
| d10 |
140 |
0.3 |
0.5 |
1.2 |
1 |
| d50 |
211.8 |
0.5 |
0.7 |
1.6 |
1.9 |
| d90 |
319.9 |
0.7 |
0.8 |
2.5 |
3.3 |
| Large |
| d10 |
332.9 |
0.6 |
0.7 |
1.1 |
2.1 |
| d50 |
375.2 |
0.7 |
0.8 |
1.3 |
3.4 |
| d90 |
421.4 |
0.8 |
0.9 |
1.5 |
5 |
Table 1: Size and shape results for abrasives
Particle Images
The following images provide an intuitive understanding of the function of the Angularity Roundness calculation and value
to scientists
studying abrasives.
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Figure 4: Small abrasive, high angularity (top), low angularity
(bottom)
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Figure 5: Medium abrasive, high angularity (top), low angularity
(bottom)
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Figure 6: Large abrasive, high angularity (top), low angularity
(bottom)
Conclusions
The PSA300 proved capable of defining the size and
shape differences between the abrasive samples in this study. All of the selected shape
parameters were able to provide information about abrasive morphology, but the Angularity Roundness value holds the most
promise for correlating to abrasive effectiveness. This calculation is unique to the PSA300 and can only be defined when using the powerful
features found in the Clemex software. Particle
size and shape analysis characterization by automatic image analysis can be a valuable tool for the abrasives industry.
Source: “Particle Size Analysis of Drilling Fluid”, Application Note by Horiba Scientific – Particle
Products
For more information on this source, please visit Horiba Scientific – Particle Products.