Methodology for Determining the Variance of the Taylor Factor: Application in Fe-3%Si

The variance of the Taylor factor due to variations in the microstructure and window size is explored using both a random sampling method and a previously developed statistical relationship. The results from the random sampling method correlated well with the statistical variance relationship when the magnitude of the variance was greater than that of the numerical errors observed in the statistical calculation. An empirical relation was developed to model the results and the constants for this relationship were determined for pseudo-three dimensional Fe-3%Si. Implementation of the statistical variance relationship in true 3D microstructures is not limited by material opacity, since it depends only upon the 2-point pair correlation functions. The connection between the variance of the R-value and variance of the Taylor factor is considered. Although only a weak connection was found, it was observed that relatively small variations in the Taylor factor yield large variances in the R-value.

Name thesis:degree_name

MS

Grantor dc:publisher

Brigham Young University - Provo

Author dc:creator

• Przybyla, Craig P.

• plasticity
• polycrystalline materials
• property variance
• two-point correlation functions
• Taylor theory
• Mechanical Engineering

Language dc:language

English

Repository record dc:identifier

https://scholarsarchive.byu.edu/etd/687

OAI identifier oai:identifier

oai:scholarsarchive.byu.edu:etd-1686