DOI: 10.1111/j.1151-2916.1987.tb04983.x. Crack‐Interface Grain Bridging as a Fracture Resistance Mechanism in Ceramics: II, Theoretical Fracture Mechanics Model

Crack‐Interface Grain Bridging as a Fracture Resistance Mechanism in Ceramics: II, Theoretical Fracture Mechanics Model

10.1111/j.1151-2916.1987.tb04983.x

Crossref journal-article

Wiley

Journal of the American Ceramic Society (311)

Abstract

A fracture mechanics model is developed for nontransforming ceramics that show an increasing toughness with crack extension (R‐curve, or T‐curve, behavior). The model derives from the observations in Part I, treating the increased crack resistance as the cumulative effect of grain bridging restraints operating behind the advancing tip. An element of discreteness is incorporated into the formal distribution function for the crack‐plane restraining stresses, to account for the primary discontinuities in the observed crack growth. A trial forceseparation function for the local bridge microrupture process is adopted, such that an expression for the microstructureassociated crack driving (or rather, crack closing) force may be obtained in analytical form. The description can be made to fit the main trends in the measured toughness curve for a coarse‐grained alumina. Parametric evaluations from such fits conveniently quantify the degree and spatial extent of the toughening due to the bridging. These parameters could be useful in materials characterization and design. It is suggested that the mechanics formulation should be especially applicable to configurations with short cracks or flaws, as required in strength analysis.

Bibliography

MAI, Y., & LAWN, B. R. (1987). CrackâInterface Grain Bridging as a Fracture Resistance Mechanism in Ceramics: II, Theoretical Fracture Mechanics Model. Journal of the American Ceramic Society, 70(4), 289â294. Portico.

Authors 2

YIU‐WING MAI (first)
BRIAN R. LAWN (additional)

References 20 Referenced 337

P. L.Swanson C. J.Fairbanks B. R.Lawn Y.‐W.Mai andB. J.Hockey “Crack‐Interface Grain Bridging as a Fracture Resistance Mechanism in Ceramics: I Experimental Study on Alumina;” this issue preceding article.
10.1111/j.1151-2916.1985.tb16163.x
10.1111/j.1151-2916.1985.tb16164.x
R. F.Cook C. J.Fairbanks B.R.Lawn andY.‐W.Mai; to be published inJ. Metier. Res..
{'key': 'e_1_2_1_6_2', 'first-page': '557', 'volume-title': 'Proceedings of the 5th International Conference on Composite Materials', 'author': 'Marshall D. B.', 'year': '1985'} / Proceedings of the 5th International Conference on Composite Materials by Marshall D. B. (1985)
10.1016/0001-6160(85)90124-5
10.1007/978-1-4615-7023-3_1
{'key': 'e_1_2_1_9_2', 'volume-title': 'Fracture of Brittle Solids', 'author': 'Lawn B. R.', 'year': '1975'} / Fracture of Brittle Solids by Lawn B. R. (1975)
10.1146/annurev.ms.16.080186.002215
10.1016/S0065-2156(08)70121-2
{'key': 'e_1_2_1_12_2', 'volume-title': 'Part III in The Stress Analysis of Cracks Handbook', 'author': 'Tada H.', 'year': '1985'} / Part III in The Stress Analysis of Cracks Handbook by Tada H. (1985)
{'key': 'e_1_2_1_13_2', 'first-page': '529', 'volume-title': 'Fracture 1977', 'author': 'Evans A. G.', 'year': '1977'} / Fracture 1977 by Evans A. G. (1977)
10.1016/0013-7944(84)90049-3
10.1007/BF00551043
10.1111/j.1151-2916.1980.tb10768.x
10.1007/BF00726477
{'key': 'e_1_2_1_18_2', 'article-title': 'Testing Methods and Crack Resistance Behavior of A12O3', 'volume': '13', 'author': 'Deuler F.', 'journal-title': 'Sci. Ceram.'} / Sci. Ceram. / Testing Methods and Crack Resistance Behavior of A12O3 by Deuler F.
10.1007/BF00738476
10.1007/BF01145502
{'key': 'e_1_2_1_21_2', 'first-page': '135', 'volume-title': 'Advances in Cement‐Matrix Composites', 'author': 'Foote R. M. L.', 'year': '1980'} / Advances in Cement‐Matrix Composites by Foote R. M. L. (1980)

Dates

Type	When
Created	20 years, 5 months ago (March 8, 2005, 1:55 p.m.)
Deposited	1 year, 9 months ago (Nov. 23, 2023, 12:18 a.m.)
Indexed	1 month ago (Aug. 6, 2025, 8:37 a.m.)
Issued	38 years, 5 months ago (April 1, 1987)
Published	38 years, 5 months ago (April 1, 1987)
Published Online	20 years, 5 months ago (March 8, 2005)
Published Print	38 years, 5 months ago (April 1, 1987)

Funders 0

None

BibTeX

@article{MAI_1987, title={Crack‐Interface Grain Bridging as a Fracture Resistance Mechanism in Ceramics: II, Theoretical Fracture Mechanics Model}, volume={70}, ISSN={1551-2916}, url={http://dx.doi.org/10.1111/j.1151-2916.1987.tb04983.x}, DOI={10.1111/j.1151-2916.1987.tb04983.x}, number={4}, journal={Journal of the American Ceramic Society}, publisher={Wiley}, author={MAI, YIU‐WING and LAWN, BRIAN R.}, year={1987}, month=apr, pages={289–294} }

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