structure - processing linkages in polyethylene
TRANSCRIPT
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Structure - Processing Linkages in
Polyethylene
David BroughAbhiram Kannan
Final Presentation ME 8883
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Outline
‣ Motivation & Objective
‣ X Ray Scattering Datasets of Polyethylene
‣ Workflow
‣ Results and Discussions
‣ Future Work
‣ Summary
‣ Acknowledgements
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Motivation
Jancar, J. et al. Current issues in research on structure - property relationships in polymer nanocomposites. Polymer 51, 3321–3343 (2010)
Hierarchical structural assembly of a material influences the properties on the macroscopic scale
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Motivation & Objective
Processing Condition a
Processing Condition b
Microstructure Set a
Microstructure Set b
Properties Set a
Properties Set b
PE
Temperature Pressure
Isotropic vs Anisotropic Homogeneous vs Heterogeneous
Yield Strength
Polyethylene (PE)
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X Ray Scattering Data of PESmall Angle X Ray Scattering (SAXS) data is related to spatial statistics
200 µm x 200 µm
Lamella
Inter Crystalline Amorphous
~10 nm
X Rays
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Play
Film sample is strained continuously while being probed by X rays
X Ray Scattering Data of PE
X Rays
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Bulk Density Processing Condition Film Thickness (µm)
0.912 gms/cc1 20 30 752 20 30 75
0.923 gms/cc1 20 30 752 20 30 75
Workflow
spatial statistics
dimensionality reduction
processing linkage
SAXS Data
Principal Components
Analysis (PCA)
Transfer Function
Model (TFM)
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Principal Components Analysis
• 3200 .tif images across 12 samples (~250 per sample) • Log intensity scaled by mean to account for thickness effects • Scaled images fed to PCA Algorithm • Outputs of PCA Algorithm visualized in D3
Compare :-
1. Effects of Processing Conditions 2. Effects of Density 3. Effects of Thickness
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Transfer Function Model Linkage
• For sample 6,10 each Principal Component is fit to a Transfer Function model of order (2,1,5)
• Using obtained coefficients, predictions for the remaining samples are made
• Comparison of Predicted and True Low Dimensional Trajectories.
Model Equation:-
Xt = a1Xt−1 + a2Xt−2 + b0ε t + b1ε t−1 + b2ε t−2 + b3ε t−3 + b4ε t−4 + b5ε t−5 + Err
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Summary
• Dimensionality Reduction of time resolved data by PCA • Objective comparison between strain derived microstructures of
PE • Minimization of User Bias incurred from traditional analysis
protocols • Applied method for deriving processing linkages via Transfer
Function Model might hold potential
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Future Work
• Extraction of spatial statistics by via transformation of SAXS data
• Reconstruction of 2 Phase Crystalline - Amorphous Microstructures
• Extend Transfer Function Model to incorporate Stress Values • Property Linkage with Crystallinity, Orientation etc. • Additional Length Scales (~0.1 nm) from Wide Angle Scattering
Data (WAXS)
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Acknowledgements
• Dr. Surya Kalidindi (GT) • Dr. Hamid Garmestani (GT) • Dr. Tony Fast (GT) • Dr. David Bucknall (GT) • Dr. David Fiscus (ExxonMobil)