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Conductivity of disordered polycrystals

Journal of Applied Physics, 1996
New upper and lower bounds are constructed for the macroscopic conductivity of polycrystals with random microstructure, given the principal conductivities of the constituent crystals (and the volume fractions of phases in case of a multiphase polycrystal). The new bounds lie inside the well-known Hashin–Shtrikman ones.
Duc-Chinh Pham
exaly   +2 more sources

Polycrystals

2003
Abstract So far, we have studied the martensitic transformation and the shape-memory effect in single crystals where the reference lattice or the lattice of the high-temperature parent austenite phase is uniform across the specimen. However, typical commercial specimens are polycrystals: they are an agglomeration of a very large number ...
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Energetics of polycrystals

Journal of Materials Science, 2005
The energetics of polycrystalline solids at high temperatures is treated using topological methods. The theory developed represents individual irregular polyhedral grains as a set of symmetrical abstract geometric objects called average N-hedra (ANH’s), where N, the topological class, equals the number of contacting neighbor grains in the polycrystal ...
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Stress-free joints and polycrystals

Archive for Rational Mechanics and Analysis, 1984
Suppose stress-free, homogeneous but thermally anisotropic solid bodies (perhaps made of different materials) are joined together at a temperature \(\theta_ o\) along bounding surfaces which are pieces of planes. Under which conditions do the joints remain stress-free as the temperature changes? \textit{J. L. Ericksen} [J.
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Elastic Constants of Polycrystals

physica status solidi (b), 1973
AbstractThe elastic constants of polycrystals and similar disordered materials are calculated. Exact formal solutions for the effective tensors of the elastic constants and of the compliances are given. Analytical approximations are derived by an expansion in powers of the anisotropy.
R. Zeller, P. H. Dederichs
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Intergrain scattering in polycrystals

Journal of Physics: Condensed Matter
Abstract Transport through grain boundaries in polycrystals is described from first principles using quantum scattering theory, explicitly including Feshbach resonances to account for intermittently trapped electronic surface states.
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Fracture of Polycrystals

1967
In many crystalline solids, the fracture event is intimately related to plastic deformation processes. In polycrystalline materials, the localized internal stresses generated by slip at grain boundaries depend on dislocation distribution and the ability to cross slip, i.e., slip character. The importance of deformation behavior, as influenced by solute
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Yield Criteria for Anisotropic Polycrystals

2018
Chapter 5 is devoted to modeling the elastic–plastic behavior of anisotropic polycrystalline metals. After introducing the only two rigorous methodologies for extending isotropic formulations such as to account for anisotropy, the most versatile three-dimensional orthotropic yield criteria for materials with the same response in tension and in ...
Oana Cazacu   +2 more
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Theory of surface polaritons in polycrystals

Physical Review B, 1995
We have calculated the dispersion relation for surface polaritons propagating near the interface between a semi-infinite polycrystalline dielectric and a vacuum. A small anisotropy of single-crystal grains was assumed. The obtained complex frequency change is \ensuremath{\Delta}\ensuremath{\omega}=\ensuremath{\omega}(${\mathrm{\ensuremath{\kappa}}}_ ...
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Skin effect in polycrystals

Low Temperature Physics, 1996
The effective impedance of a polycrystalline metal under the conditions of the anomalous skin effect is calculated in the case when the average size of a crystallite is larger than the mean free path of conduction electrons under the assumption of a weak anisotropy of the conductivity tensor of the single crystal whose grains form the polycrystal.
I. M. Kaganova, M. I. Kaganov
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