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- W1997100691 abstract "Abstract Estimates for the properties of creeping polycrystals, which exhibit a power-law dependence of the stress on the strain-rate, are derived in the framework of statistical continuum theory. A creep modulus is obtained which incorporates n -point statistics for the spatial coherence of lattice orientation. For uniform boundary conditions and statistically homogeneous microstructures the modulus is shown to have local character. A hierarchy of mean field approximations enables estimates for the evolution of n -point statistical measures of the microstructure. Numerical implementation of the theory for isotropic face-centered-cubic polycrystals, incorporating two-point statistics of lattice orientation, results in substantial softening of the tensile reference stress relative to the Taylor-like uniform strain-rate upper-bound and the self-consistent estimate. Comparisons of the initial flow for the tensile axis show that estimates incorporating two-point statistics reduce the rate of rotation of the tensile axis over a significant area-fraction of the stereographic projection." @default.
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- W1997100691 date "1991-10-01" @default.
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- W1997100691 title "A statistical theory of creep in polycrystalline materials" @default.
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- W1997100691 doi "https://doi.org/10.1016/0956-7151(91)90021-r" @default.
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