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math-ph2024
Spectral theory of effective transport for discrete uniaxial polycrystalline materials
N. Benjamin Murphy, Daniel Hallman, Elena Cherkaev +1
We previously demonstrated that the bulk transport coefficients of uniaxial polycrystalline materials, including electrical and thermal conductivity, diffusivity, complex permittiv…
math-ph2024
Spectral theory of effective transport for continuous uniaxial polycrystalline materials
N. Benjamin Murphy, Daniel Hallman, Elena Cherkaev +1
Following seminal work in the early 1980s that established the existence and representations of the homogenized transport coefficients for two phase random media, we develop a math…