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Structure - Processing Linkages in Polyethylene

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Structure - Processing Linkages in Polyethylene

  1. 1. 1 Structure - Processing Linkages in Polyethylene David Brough Abhiram Kannan Final Presentation ME 8883
  2. 2. Outline ‣ Motivation & Objective ‣ X Ray Scattering Datasets of Polyethylene ‣ Workflow ‣ Results and Discussions ‣ Future Work ‣ Summary ‣ Acknowledgements
  3. 3. 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
  4. 4. 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)
  5. 5. X Ray Scattering Data of PE Small Angle X Ray Scattering (SAXS) data is related to spatial statistics 200 µm x 200 µm Lamella Inter Crystalline Amorphous
  6. 6. Play Film sample is strained continuously while being probed by X rays X Ray Scattering Data of PE
  7. 7. Bulk Density Processing Condition Film Thickness (µm) 0.912 gms/cc 1 20 30 75 2 20 30 75 0.923 gms/cc 1 20 30 75 2 20 30 75 Workflow spatial statistics dimensionality reduction processing linkage SAXS Data Principal Components Analysis (PCA) Transfer Function Model (TFM)
  8. 8. 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
  9. 9. 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:-
  10. 10. 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
  11. 11. 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)
  12. 12. Acknowledgement s • Dr. Surya Kalidindi (GT) • Dr. Hamid Garmestani (GT) • Dr. Tony Fast (GT) • Dr. David Bucknall (GT) • Dr. David Fiscus (ExxonMobil)