Crystal mechanics-based thermo-elastic constitutive modeling of orthorhombic uranium using generalized spherical harmonics and first-order bounding theories
نویسندگان
چکیده
In earlier works, a mathematical procedure for invertible microstructure-property linkages was developed using computationally efficient spectral methods polycrystalline cubic and hexagonal metals. This paper formulates such microstructure–property orthorhombic metals relying on the generalized spherical harmonics (GSH) basis. The is used to compute property closures of polycrystals. represent complete set theoretically possible combinations effective properties selected material. relies first-order bounding theories considers orientation distribution functions (ODFs) as main microstructural descriptor influencing homogenized properties. Numerous examples these involving second-rank thermal expansion fourth-rank elastic stiffness tensorial over broad range temperatures are presented α-uranium (α-U). doing so, certain key exploited facilitate their computation with drastically reduced computational effort. Along recently GSH-based interpolation ODFs from coarsely spaced experimental measurement grids finely finite element mesh resolution in Barrett et al., ODF-effective establish crystal mechanics-based simulation framework coupled method (FEM). ODF dependent tensors efficiently calculated at every integration point by FEM predict overall distortion hemispherical part made α-U during heating. It shown that can be simulate microstructurally heterogeneous components under thermo-mechanical loadings manner.
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ژورنال
عنوان ژورنال: Journal of Nuclear Materials
سال: 2022
ISSN: ['1873-4820', '0022-3115']
DOI: https://doi.org/10.1016/j.jnucmat.2021.153472