Cover image for Chemical Change in Deforming Materials.
Chemical Change in Deforming Materials.
Title:
Chemical Change in Deforming Materials.
Author:
Bayly, Brian.
ISBN:
9780195361889
Personal Author:
Physical Description:
1 online resource (245 pages)
Series:
Oxford Monographs on Geology and Geophysics ; v.21

Oxford Monographs on Geology and Geophysics
Contents:
Contents -- Symbols -- Note on diffusion coefficients used -- 1. Overview and preview of conclusions -- Preview of conclusions -- An overview of the overview -- I: FUNDAMENTALS -- 2. Chemical potential -- Definition of free energy -- Definition of chemical potential -- Properties of μ -- Nonequilibrium states -- 3. Disequilibrium 1: Potential gradients and flows -- Gradient of pressure or concentration -- Gradients in potential -- Appendix 3A: Diffusion at an interface -- 4. Disequilibrium 2: Associated equilibrium states -- Diffusion in a long bar -- Associated equilibrium states -- Indeterminacy and dependence on history -- 5. Disequilibrium 3: Internal variables -- An example -- Internal and spatial variables combined -- 6. Nonhydrostatic stress -- Principal directions and stresses -- Stress relations in the principal planes -- Tensile stresses -- Shear stresses -- 7. Change of shape and change of volume -- Strain and strain rate -- Change of shape and change of volume -- Summary -- Shear strains -- 8. Conservation -- Conservation statements -- Self-diffusion -- Conservation and strain -- Summary -- Appendix 8A: Proof of the stress relation (8.10) -- Appendix 8B: Conservation: a numerical example -- Appendix 8C: Invariants -- 9. Chemical potential under nonhydrostatic stress -- Associated equilibrium states -- Sine-wave, Mohr-circle, and ellipsoid representations -- Numerical examples -- Summary -- II: SIMULTANEOUS DEFORMATION AND DIFFUSION -- 10. Introduction -- Historical review: descriptions of diffusive mass transfer accompanying deformation -- 11. Deformation and diffusion compared -- Preliminary sketches -- Continuum behavior using wafers -- Questions about validity -- Summary and conclusions -- Appendix 11A: Other harmonic stress fields -- Appendix 11B: Gibbsian argument for multivalued potentials.

12. Deformation and diffusion: quantitative relations -- Relation of L[sub(0)] to N and K -- Change of shape and diffusive mass transfer combined -- Appendix 12A: A material's characteristic length -- Appendix 12B: Harmonically varying stress field with nonspecial wavelength -- III: APPLICATION: MOVEMENTS ALONG ONE DIRECTION -- 13. Two phases and one component -- Initial conditions and assumptions -- Solution -- Discussion -- Summary -- Appendix 13A: Plane strain at an interface -- 14. One phase and two components -- Initial conditions and assumptions -- Solution -- Discussion -- Summary -- 15. Compounds of the type (A, B)X -- Theory -- A nonzero constriction rate -- Binary materials reconsidered -- Summary -- 16. Two phases and two components -- Exponential change of composition and stress -- A nonzero constriction rate -- Behavior affected by K*: a stationary interface -- Behavior affected by K[sup(a)]: a moving interface -- Review -- Appendix 16A: Magnitudes of e[sub(0)] and δp -- 17. Summary -- Preface -- Core -- Postscript -- IV: EXTENSIONS -- 18. Cylindrical inclusions -- Deformation of a cylinder with no diffusion -- Deformation of a cylinder with diffusion -- Materials of formula (A, B)X -- Summary -- Wet granular aggregates -- 19. Review of strategies -- Simple binary materials -- Questions of scale -- A material's characteristic length and microstructure -- Summary -- Invariants -- 20. Further extensions -- Unsteady behavior -- Poorly correlated materials and the factor f -- Anisotropic materials -- Appendix 20A: Unsteady behavior, a numerical example -- References and notes -- Index -- A -- B -- C -- D -- E -- F -- G -- H -- I -- J -- K -- L -- M -- N -- O -- P -- Q -- R -- S -- T -- U -- V -- W -- X -- Z.
Abstract:
1. Overview and Preview of ConclusionsPART I: Fundamentals 2. Chemical Potential3. Disequilibrium 1: Potential Gradients and Flows4. Disequilibrium 2: Associated Equilibrium States5. Disequilibrium 3: Internal Variables6. Nonhydrostatic Stress7. Change of Shape and Change of Volume8. Conservation9. Chemical Potential under Nonhydrostatic StressPART II: Simultaneous Deformation and Diffusion 10. Introduction11. Deformation and Diffusion Compared12. Deformation and Diffusion: Quantitative RelationsPART III: Application: Movements Along One Direction 13. Two Phases and One Component14. One Phase and Two Components15. Compounds of the Type (A,B)X16. Two Phases and Two Components17. SummaryPART IV: Extensions 18. Cylindrical Inclusions19. Review of Strategies20. Further Extensions.
Local Note:
Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2017. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.
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