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CC BY-NC V4.0, Open Access
Dissertation
GENERALIZATION AND STEREOLOGICAL DETERMINATION OF A TRIPLE JUNCTION DISTRIBUTION
Washington State University
Doctor of Philosophy (PhD), Washington State University
01/2021
DOI:
https://doi.org/10.7273/000005499
Handle:
https://hdl.handle.net/2376/119816
Abstract
Polycrystalline triple junctions have been shown to influence numerous mechanical and chemical behaviors of materials. However, characterization of triple junctions has yet to advance beyond their current methods which negate underlying geometrical information and there is no efficient way of obtaining large amounts of three-dimensional triple junction information. This work adopts stereological procedures determining structural anisotropy of lineal features, which assist in determining a generalized triple junction line-length per unit volume distribution, L_V (〖Δg〗_max,〖Δg〗_min,θ,ϕ,α_1,α_2,α_3 ). The basis for stereological determination of L_V (〖Δg〗_max,〖Δg〗_min,θ,ϕ,α_1,α_2,α_3 ) is discussed and the effect of triple junction parameterization is highlighted. We explore methods to reduce the dimensionality of the problem through geometrical constraints as well as methods to reduce the computation of estimated distributions. The proposed distribution function, L_V (〖Δg〗_max,〖Δg〗_min,θ,ϕ,α_1,α_2,α_3 ), helps pave the way for new methods of obtaining geometrical information of triple junctions without time prohibitive three-dimensional characterization methods.
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Details
- Title
- GENERALIZATION AND STEREOLOGICAL DETERMINATION OF A TRIPLE JUNCTION DISTRIBUTION
- Creators
- Benjamin Schuessler
- Contributors
- David P Field (Advisor)Scott P Beckman (Committee Member)Kevin R Vixie (Committee Member)
- Awarding Institution
- Washington State University
- Academic Unit
- School of Mechanical and Materials Engineering
- Theses and Dissertations
- Doctor of Philosophy (PhD), Washington State University
- Publisher
- Washington State University
- Number of pages
- 133
- Identifiers
- 99900592056301842
- Language
- English
- Resource Type
- Dissertation