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Reconstruction and Characterization of 3-D Biaxial 
Specimen Microstructure 
Jie (Jessie) Cao 
Advisor: Prof. J. David Frost 
School of Civil and Environmental Engineering 
MSE6120
+ 
Content 
 Background 
 3-D Microstructure Reconstruction 
 Characterization of Microstructure 
 Implications
+ 
Background 
 Investigate the mechanism of strain localization; link the 
microstructural properties with the engineering behavior of 
Ottawa sands under biaxial shearing condition 
Biaxial Shearing 
Testing 
UN 
Microstructure 
Characterization 
Microscopy 
Based Serial 
Sectioning
+ 
Biaxial Shearing Testing 
 Material 
Ottawa 20-30 sands 
 Specimen 
Height: 140 mm 
Length: 80 mm 
Width: 40 mm
+ 
3-D Microstructure Reconstruction 
 Cutting and mounting 
 Grinding and polishing 
 Image capturing and processing 
montage technique 
binarization
+ 
3-D Microstructure Reconstruction 
 Render Processed images into 3D structures 
(software VoxBlast from VayTek, Inc) 
 Unsheared Microstructure 
 Size: 1300×800×430 
voxels=0.45 billion voxels with 
side 14μm 
 Number of slices: 430 
 Resolution: 13.96 μm/pixel 
 Number of particles: ≈3800 
Sand Particles 
Pore space
+ 
Characterization of Microstructure 
 Dissection of Reconstructed Volume 
 B 
 slices: 300 x 
430 pixels 
 ~169 particles 
 A 
 slices: 1300 x 
800 pixels 
 ~312 particles 
 C 
 slices: 800 x 
430 pixels 
 ~104 particles
+ 
Characterization of Microstructure 
 Void Ratio Per Slice 
Void Ratio=total number of void pixels/ total number of solid pixels 
= 1/(Vv)solid -1 
1. Hands-on Measurement 
2-D Analysis 
2. Digital Image Analysis 
3-D Analysis
+ 
Characterization of Microstructure 
 Course Contents ( Hands-on Measurement ) 
Numerical 
Extents 
Vv; Sv; Lv 
Number 
Density 
NA; Nv 
Derived 
Microstructural 
Properties 
Size, Shape, 
and Orientation 
Distribution 
Spatial 
Clustering and 
Correlations
+ 
Characterization of Microstructure 
 Void Ratio Per Slice 
1. Hands-on Measurement 
Point Counting for Vv  e 
Slice Number#: 
01 43 86 129 172 215 
258 301 344 387 430 
Cumulative Thickness(mm): 
0 0.6 1.2 1.8 2.4 
3.0 3.6 4.0 4.8 5.4 6.0 
Void Ratio= 1/(Vv)solid -1 
A
+ 
Characterization of Microstructure 
Void Ratio Per Slice 
Void Ratio= 1/(Vv)solid -1 
1. Hands-on Measurement (systematic point counting) 
 N=5 
 PT=20 
 Pi 
 Pave=Pi/N 
 Vv=PP=Pave/PT
+ 
Characterization of Microstructure 
Void Ratio Per Slice 
1. Hands-on Measurement 
Void Ratio= 1/(Vv)solid -1 
0.80 
0.75 
0.70 
0.65 
0.60 
0.65 
0.60 
0.55 
0.50 
0.45 
0.40 
0 1 2 3 4 5 6 7 8 
Void Ratio 
Cumulative Removed Thickness (mm) 
0.55 
VV 
eavg=0.506
+ 
Characterization of Microstructure 
Void Ratio=total number of void pixels/ total number of solid pixels 
Void Ratio Per Slice 
2. Digital Image Analysis 
Point Counting result 
eavg=0.510 
Slices A 
Slices B 
Slices C
+ 
Implications 
 Application of Microscopy Based Serial Sectioning to 
reconstruct the digital microstructures is feasible in soil 
testing, and is widely accessible to researchers in 
geotechnical engineering. 
 Microstructure of soil materials can be characterized 
quantitatively to obtain several geometric attributes 
through simple unbiased counting measurements. Some 
geometric attributes are closely related to material 
properties and performance.
+ 
Thanks for Attention 
Jie (Jessie) Cao 
Advisor: Prof. J. David Frost 
School of Civil and Environmental Engineering 
MSE6120

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MSE 6120 Project

  • 1. + Reconstruction and Characterization of 3-D Biaxial Specimen Microstructure Jie (Jessie) Cao Advisor: Prof. J. David Frost School of Civil and Environmental Engineering MSE6120
  • 2. + Content  Background  3-D Microstructure Reconstruction  Characterization of Microstructure  Implications
  • 3. + Background  Investigate the mechanism of strain localization; link the microstructural properties with the engineering behavior of Ottawa sands under biaxial shearing condition Biaxial Shearing Testing UN Microstructure Characterization Microscopy Based Serial Sectioning
  • 4. + Biaxial Shearing Testing  Material Ottawa 20-30 sands  Specimen Height: 140 mm Length: 80 mm Width: 40 mm
  • 5. + 3-D Microstructure Reconstruction  Cutting and mounting  Grinding and polishing  Image capturing and processing montage technique binarization
  • 6. + 3-D Microstructure Reconstruction  Render Processed images into 3D structures (software VoxBlast from VayTek, Inc)  Unsheared Microstructure  Size: 1300×800×430 voxels=0.45 billion voxels with side 14μm  Number of slices: 430  Resolution: 13.96 μm/pixel  Number of particles: ≈3800 Sand Particles Pore space
  • 7. + Characterization of Microstructure  Dissection of Reconstructed Volume  B  slices: 300 x 430 pixels  ~169 particles  A  slices: 1300 x 800 pixels  ~312 particles  C  slices: 800 x 430 pixels  ~104 particles
  • 8. + Characterization of Microstructure  Void Ratio Per Slice Void Ratio=total number of void pixels/ total number of solid pixels = 1/(Vv)solid -1 1. Hands-on Measurement 2-D Analysis 2. Digital Image Analysis 3-D Analysis
  • 9. + Characterization of Microstructure  Course Contents ( Hands-on Measurement ) Numerical Extents Vv; Sv; Lv Number Density NA; Nv Derived Microstructural Properties Size, Shape, and Orientation Distribution Spatial Clustering and Correlations
  • 10. + Characterization of Microstructure  Void Ratio Per Slice 1. Hands-on Measurement Point Counting for Vv  e Slice Number#: 01 43 86 129 172 215 258 301 344 387 430 Cumulative Thickness(mm): 0 0.6 1.2 1.8 2.4 3.0 3.6 4.0 4.8 5.4 6.0 Void Ratio= 1/(Vv)solid -1 A
  • 11. + Characterization of Microstructure Void Ratio Per Slice Void Ratio= 1/(Vv)solid -1 1. Hands-on Measurement (systematic point counting)  N=5  PT=20  Pi  Pave=Pi/N  Vv=PP=Pave/PT
  • 12. + Characterization of Microstructure Void Ratio Per Slice 1. Hands-on Measurement Void Ratio= 1/(Vv)solid -1 0.80 0.75 0.70 0.65 0.60 0.65 0.60 0.55 0.50 0.45 0.40 0 1 2 3 4 5 6 7 8 Void Ratio Cumulative Removed Thickness (mm) 0.55 VV eavg=0.506
  • 13. + Characterization of Microstructure Void Ratio=total number of void pixels/ total number of solid pixels Void Ratio Per Slice 2. Digital Image Analysis Point Counting result eavg=0.510 Slices A Slices B Slices C
  • 14. + Implications  Application of Microscopy Based Serial Sectioning to reconstruct the digital microstructures is feasible in soil testing, and is widely accessible to researchers in geotechnical engineering.  Microstructure of soil materials can be characterized quantitatively to obtain several geometric attributes through simple unbiased counting measurements. Some geometric attributes are closely related to material properties and performance.
  • 15. + Thanks for Attention Jie (Jessie) Cao Advisor: Prof. J. David Frost School of Civil and Environmental Engineering MSE6120