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Journal ArticleDOI

Diffusional Flow in Polycrystalline Materials

H. W. Green
- 01 Aug 1970 - 
- Vol. 41, Iss: 9, pp 3899-3902
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TLDR
In this article, the thermodynamic theory of equilibrium under nonhydrostatic stress developed by Gibbs and Kamb is applied to obtain the general solution for stress-directed diffusion in an elastically isotropic solid.
Abstract
The thermodynamic theory of equilibrium under nonhydrostatic stress developed by Gibbs and Kamb is applied to obtain the general solution for stress‐directed diffusion in an elastically isotropic solid. It is shown that the form of the strain‐rate tensor is the same for lattice and grain‐boundary diffusion mechanisms and that the relation derived in the classic paper by Herring is a special case of the general theory. Diffusional creep acting by itself cannot lead to steady‐state flow; strain rates always decline at high strains.

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Citations
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Journal ArticleDOI

On grain boundary sliding and diffusional creep

TL;DR: In this paper, the problem of sliding at a nonplanar grain boundary is considered in detail, and the results give solutions to the following problems: 1) How much sliding occurs in a polycrystal when neither diffusive flow nor dislocation motion is possible? 2) What is the sliding rate at a wavy or stepped grain boundary when diffusional flow of matter occurs? 3) How is the rate of diffusional creep in polycrystals in which grain boundaries slide? 4) how is this creep rate affected by grain shape, and grain boundary migration? 5)
Journal ArticleDOI

Nonhydrostatic thermodynamics and its geologic applications

TL;DR: In this article, the general principles of equilibrium thermodynamics are briefly stated in a form conveniently applicable to nonhydrostatic problems, with emphasis on the aspects, absent from hydrostatic applications, that have sometimes caused confusion.
Book

Deformation of Earth Materials: An Introduction to the Rheology of Solid Earth

TL;DR: In this article, a comprehensive, unified treatment of the materials science of deformation as applied to solid Earth geophysics and geology is presented in a systematic way covering elastic, anelastic and viscous deformation.
Journal ArticleDOI

Steady state flow of rocks

TL;DR: Experimentally determined steady state flow properties and processes of important rock-forming materials are reviewed in reference to those of metals and ceramics and to physical conditions in the earth's crust and upper mantle as discussed by the authors.
References
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Book

Physical properties of crystals

John F. Nye
TL;DR: In this paper, the physical properties of crystals systematically in tensor notation are presented, presenting tensor properties in terms of their common mathematical basis and the thermodynamic relations between them.
Journal ArticleDOI

Diffusional Viscosity of a Polycrystalline Solid

TL;DR: In this article, it is suggested that mosaic boundaries and boundaries between grains of nearly the same orientation may not serve as sources or sinks of the diffusion currents, in which case the creep rate will depend only on the configuration of grain boundaries having a sizable orientation differen...
Journal ArticleDOI

A Model for Boundary Diffusion Controlled Creep in Polycrystalline Materials

TL;DR: In this article, the authors discussed the mechanism of creep in polycrystalline alumina based on the differences between the lattice and boundary diffusion models and showed that the boundary diffusion model is more stable than lattice diffusion model, while the grain size dependence and the numerical constant are greater.
Journal ArticleDOI

Theory of Preferred Crystal Orientation Developed by Crystallization under Stress

TL;DR: The thermodynamic theory of equilibrium under non-hydrostatic stress, developed by Gibbs, is applied to linearly elastic crystals under infinitesimal strain and is worked out in detail for several examples of practical importance, mostly situations of uniaxial stress.