DOI: 10.1111/j.1151-2916.1981.tb09557.x. Energy Variations in Diffusive Cavity Growth

Energy Variations in Diffusive Cavity Growth

10.1111/j.1151-2916.1981.tb09557.x

Crossref journal-article

Wiley

Journal of the American Ceramic Society (311)

Abstract

The assignment of boundary values for the chemical potential and the calculation of energy‐release rates for the growth of creep cavities along grain boundaries by self‐diffusion are discussed. For simplicity, it is assumed that the boundaries are flat and that surface and grain‐boundary diffusion are the dominant transport mechanisms. As matter diffuses from the void surface into and along the grain boundary, misfit residual stresses are induced to alleviate the high stress concentration ahead of the cavity apex. As a result, the contribution of strain‐energy terms to the chemical potential can be neglected in typical cases. Also, contrary to the Griffith crack‐extension model, the energy dissipation incurred by diffusive removal of material from the cavity surface and deposition in the grain boundary is a major term in the energy transfers associated with cavity growth. The primary energy “sink” in diffusive cavity growth is shown to arise from the work done by the grain‐boundary normal stress when matter is inserted in the near‐tip region by diffusion, not from the loss of strain energy of matter that is removed from the cavity at its tip or from the work of bond separation. Thermodynamic restrictions on the angle formed by the void surfaces at their apex, where they join the grain boundary, are considered. Boundary values for the chemical potential are derived in a manner appropriate for arbitrarily large but elastic distortions of material near the cavity tip and, in contrast to most previous work in the area, the effects of surface tension (i.e. of “surface stress,” as distinct from surface energy) are included.

Bibliography

RICE, J. R., & CHUANG, T. (1981). Energy Variations in Diffusive Cavity Growth. Journal of the American Ceramic Society, 64(1), 46â53. Portico.

Authors 2

JAMES R. RICE (first)
TZE‐JER CHUANG (additional)

References 28 Referenced 116

10.1080/14786435908243264
{'issue': '1', 'key': 'e_1_2_1_3_2', 'first-page': '83', 'article-title': 'Kinetics of Stress‐Induced Growth of Grain‐Boundary Voids', 'volume': '1', 'author': 'Speight M. V.', 'year': '1967', 'journal-title': 'Metal. Sci. J.'} / Metal. Sci. J. / Kinetics of Stress‐Induced Growth of Grain‐Boundary Voids by Speight M. V. (1967)
10.1016/0036-9748(73)90027-6
10.1007/BF00549372
10.1016/0001-6160(75)90047-4
10.1016/0001-6160(73)90105-3
10.1016/0001-6160(78)90150-5
10.1016/0025-5416(78)90067-8
10.1179/msc.1978.12.12.593
10.1016/0001-6160(79)90021-X
10.1016/0025-5416(71)90076-0
10.1016/0001-6160(77)90125-0
10.1016/0025-5416(77)90157-4
10.1016/0001-6160(80)90001-2
{'key': 'e_1_2_1_16_2', 'first-page': '143', 'volume-title': 'The Physics of Powder Metallurgy', 'author': 'Herring C.', 'year': '1951'} / The Physics of Powder Metallurgy by Herring C. (1951)
{'key': 'e_1_2_1_17_2', 'first-page': '5', 'volume-title': 'Structure and Properties of Solid Surfaces', 'author': 'Herring C.', 'year': '1953'} / Structure and Properties of Solid Surfaces by Herring C. (1953)
{'key': 'e_1_2_1_18_2', 'first-page': '23', 'volume-title': 'Constitutive Equations in Plasticity', 'author': 'Rice J. R.', 'year': '1975'} / Constitutive Equations in Plasticity by Rice J. R. (1975)
10.1007/BF00188642 / Int. J. f'ract. Mecli. / Energy Changes in Stressed Bodies Due to Void and Crack Growth by Rice J. R. (1967)
10.1007/BF02656590
10.1016/0036-9748(78)90168-0
T.‐J.Chuang “Models of Intergranular Creep Crack Growth by Coupled Crack Surface and Grain Boundary Diffusion”Ph. D. Thesis Brown University Providence R.I. 1975. (10.2172/5042323)
10.1016/0022-5096(78)90014-5
{'key': 'e_1_2_1_24_2', 'first-page': '191', 'volume-title': 'Fracture', 'author': 'Rice J. R.', 'year': '1968'} / Fracture by Rice J. R. (1968)
{'key': 'e_1_2_1_25_2', 'first-page': '77', 'volume-title': 'Inelastic Behavior of Solids', 'author': 'Eshelby J. D.', 'year': '1970'} / Inelastic Behavior of Solids by Eshelby J. D. (1970)
10.1115/1.3601206
10.1016/0036-9748(78)90169-2
10.1093/qjmam/29.3.245
10.1007/BF00261375

Dates

Type	When
Created	19 years, 2 months ago (June 6, 2006, 7:30 p.m.)
Deposited	1 year, 10 months ago (Oct. 8, 2023, 11:33 a.m.)
Indexed	2 months ago (June 24, 2025, 6:48 a.m.)
Issued	44 years, 7 months ago (Jan. 1, 1981)
Published	44 years, 7 months ago (Jan. 1, 1981)
Published Online	19 years, 2 months ago (June 2, 2006)
Published Print	44 years, 7 months ago (Jan. 1, 1981)

Funders 0

None

BibTeX

@article{RICE_1981, title={Energy Variations in Diffusive Cavity Growth}, volume={64}, ISSN={1551-2916}, url={http://dx.doi.org/10.1111/j.1151-2916.1981.tb09557.x}, DOI={10.1111/j.1151-2916.1981.tb09557.x}, number={1}, journal={Journal of the American Ceramic Society}, publisher={Wiley}, author={RICE, JAMES R. and CHUANG, TZE‐JER}, year={1981}, month=jan, pages={46–53} }

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