Abstract
Polycrystalline aggregates which contain some liquid in grain interfaces can deform by matter transport, through the liquid phase. If the applied stress is multiaxial, then the deviatoric component of the stress will produce creep, that is, a change in shape of the aggregate without any change in volume, while the mean stress will cause the aggregate to densify. Constitutive equations for creep rate and densification rate are derived. It is shown that the rate may be controlled either by the interface kinetics of dissolution/precipitation of the crystal from the liquid or by the diffusion rate of matter through the liquid. The first process can be related to the kinetics of crystal growth from solution, and the second, to the viscosity of the liquid. The results of the analysis are used to interpret experiments on densification rate of a rock salt polycrystalline aggregate immersed in saturated brine.
References
31
Referenced
306
{'key': 'e_1_2_1_2_1', 'volume-title': 'Grain Boundary Structure and Kinetics', 'author': 'American Society for Metals', 'year': '1979'}
/ Grain Boundary Structure and Kinetics by American Society for Metals (1979){'key': 'e_1_2_1_3_1', 'first-page': '377', 'volume-title': 'The Theory of Transformation in Metals and Alloys', 'author': 'Christian J. W.', 'year': '1965'}
/ The Theory of Transformation in Metals and Alloys by Christian J. W. (1965)10.1111/j.1151-2916.1979.tb09477.x
10.1063/1.1702656
10.1038/235315a0
10.1130/0016-7606(1973)84<2645:DFLIMR>2.0.CO;2
10.1098/rspa.1952.0194
{'key': 'e_1_2_1_9_1', 'first-page': '191', 'volume-title': 'Flow and Fracture of Rocks, Geophys. Monogr. Ser', 'author': 'Hears H.', 'year': '1972'}
/ Flow and Fracture of Rocks, Geophys. Monogr. Ser by Hears H. (1972)10.1063/1.1699681
10.1103/PhysRev.82.87
{'key': 'e_1_2_1_12_1', 'volume-title': 'The Mathematical Theory of Plasticity', 'author': 'Hill R.', 'year': '1950'}
/ The Mathematical Theory of Plasticity by Hill R. (1950)10.1016/0001-6160(58)90052-X
10.1007/BF00551722
{'key': 'e_1_2_1_15_1', 'first-page': '374', 'volume-title': 'The Kinetics of Reactions in Solution', 'author': 'Moelwyn‐Hughes E. A.', 'year': '1947'}
/ The Kinetics of Reactions in Solution by Moelwyn‐Hughes E. A. (1947)10.1007/BF02641961
10.1111/j.1151-2916.1981.tb09596.x
10.1007/BF02664244
10.1016/0001-6160(81)90096-1
10.1016/0009-2509(66)85085-6
10.1016/0016-7037(78)90043-1
10.1098/rsta.1976.0079
10.1098/rspl.1862.0117
10.1016/0001-6160(78)90145-1
10.1029/RG011i002p00391
{'key': 'e_1_2_1_26_1', 'first-page': '395', 'article-title': 'On crystallization and liquification, as influenced by stresses tending to change of form in crystals', 'volume': '24', 'author': 'Thompson J.', 'year': '1862', 'journal-title': 'Philos. Mag.'}
/ Philos. Mag. / On crystallization and liquification, as influenced by stresses tending to change of form in crystals by Thompson J. (1862){'key': 'e_1_2_1_27_1', 'first-page': '59', 'volume-title': 'Solidification', 'author': 'Tiller W. A.', 'year': '1969'}
/ Solidification by Tiller W. A. (1969)10.1111/j.1151-2916.1982.tb10431.x
10.1111/j.1151-2916.1982.tb10458.x
{'key': 'e_1_2_1_30_1', 'first-page': '91', 'volume-title': 'Advances in Nucleation and Crystallization in Glasses, Spec. Publ', 'author': 'Uhlmann D. R.', 'year': '1972'}
/ Advances in Nucleation and Crystallization in Glasses, Spec. Publ by Uhlmann D. R. (1972)-
Weeks J. D. G. H.Gilmer Dynamics of Crystal Growth Advan. in Chem. Phys. 40 157–228 John Wiley New York 1979.
(
10.1002/9780470142592.ch4
) {'key': 'e_1_2_1_32_1', 'volume-title': 'Generation of Basaltic Magma', 'author': 'Yoder H. S.', 'year': '1976'}
/ Generation of Basaltic Magma by Yoder H. S. (1976)
Dates
Type | When |
---|---|
Created | 17 years, 6 months ago (Feb. 6, 2008, 9:25 a.m.) |
Deposited | 1 year, 11 months ago (Sept. 23, 2023, 4:12 a.m.) |
Indexed | 1 month, 2 weeks ago (July 13, 2025, 10:47 p.m.) |
Issued | 43 years, 2 months ago (June 10, 1982) |
Published | 43 years, 2 months ago (June 10, 1982) |
Published Online | 12 years, 11 months ago (Sept. 20, 2012) |
Published Print | 43 years, 2 months ago (June 10, 1982) |
@article{Raj_1982, title={Creep in polycrystalline aggregates by matter transport through a liquid phase}, volume={87}, ISSN={0148-0227}, url={http://dx.doi.org/10.1029/jb087ib06p04731}, DOI={10.1029/jb087ib06p04731}, number={B6}, journal={Journal of Geophysical Research: Solid Earth}, publisher={American Geophysical Union (AGU)}, author={Raj, Rishi}, year={1982}, month=jun, pages={4731–4739} }