DOI: 10.1111/j.1151-2916.1980.tb10768.x. Elastic/Plastic Indentation Damage in Ceramics: The Median/Radial Crack System

Elastic/Plastic Indentation Damage in Ceramics: The Median/Radial Crack System

10.1111/j.1151-2916.1980.tb10768.x

Crossref journal-article

Wiley

Journal of the American Ceramic Society (311)

Abstract

A theory for describing the evolution of the median/radial crack system in the far field of sharp‐indenter contacts is developed. Analysis is based on a model in which the complex elastic/plastic field beneath the indenter is resolved into elastic and residual components. The elastic component, being reversible, assumes a secondary role in the fracture process: although it does enhance downward (median) extension during the loading half‐cycle, it suppresses surface (radial) extension to the extent that significant growth continues during unloading. The residual component accordingly provides the primary driving force for the crack configuration in the final stages of evolution, where the crack tends to near‐half‐penny geometry. On the hypothesis that the origin of the irreversible field lies in the accommodation of an expanding plastic hardness impression by the surrounding elastic matrix, the ensuing fracture mechanics relations for equilibrium crack growth are found to involve the ratio hardness‐to‐modulus as well as toughness. Observations of crack evolution in soda‐lime glass provide a suitable calibration of indentation coefficients in these relations. The calibrated equations are then demonstrated to be capable of predicting the widely variable median and radial growth characteristics observed in other ceramic materials. The theory is shown to have a vital bearing on important practical areas of ceramics evaluation, including toughness and strength.

Bibliography

LAWN, B. R., EVANS, A. G., & MARSHALL, D. B. (1980). Elastic/Plastic Indentation Damage in Ceramics: The Median/Radial Crack System. Journal of the American Ceramic Society, 63(9â10), 574â581. Portico.

Authors 3

B. R. LAWN (first)
A. G. EVANS (additional)
D. B. MARSHALL (additional)

References 33 Referenced 1,801

10.1007/BF00823224
{'key': 'e_1_2_1_3_2', 'first-page': '205', 'volume-title': 'Fracture Mechanics of Ceramics', 'author': 'Lawn B. R.', 'year': '1978'} / Fracture Mechanics of Ceramics by Lawn B. R. (1978)
{'issue': '678', 'key': 'e_1_2_1_4_2', 'article-title': 'Fracture Toughness: the Role of Indentation Techniques', 'author': 'Evans A. G.', 'year': '1980', 'journal-title': 'Am. Soc. Test. Mater., Spec. Tech. Publ.'} / Am. Soc. Test. Mater., Spec. Tech. Publ. / Fracture Toughness: the Role of Indentation Techniques by Evans A. G. (1980)
A. G.Evans; pp.303–31in Ref. 2.
M. V.Swain; pp.257–72in Ref. 2.
J. D. B.Veldkamp N.Hattu andV. A. C.Snijders; pp.273–301in Ref. 2.
10.1007/BF00541038
10.1002/srin.196203379
10.1007/BF00557479
10.1016/0001-6160(76)90042-0
10.1016/0013-7944(74)90016-2
10.1111/j.1151-2916.1976.tb09468.x
10.1007/BF00551043
{'issue': '9', 'key': 'e_1_2_1_15_2', 'first-page': '2225', 'article-title': 'Residual Stress Effects in Sharp Contact Cracking: II', 'author': 'Marshall D. B.', 'journal-title': 'ibid.'} / ibid. / Residual Stress Effects in Sharp Contact Cracking: II by Marshall D. B.
{'issue': '11', 'key': 'e_1_2_1_16_2', 'first-page': '2195', 'article-title': 'A Model for Crack Initiation in Elastic/Plastic Indentation Fields', 'volume': '12', 'author': 'Lawn B. R.', 'year': '1977', 'journal-title': 'ibid.'} / ibid. / A Model for Crack Initiation in Elastic/Plastic Indentation Fields by Lawn B. R. (1977)
10.1016/0043-1648(77)90021-7
10.1007/BF00569288
{'key': 'e_1_2_1_19_2', 'volume-title': 'Fracture of Brittle Solids', 'author': 'Lawn B. R.', 'year': '1975'} / Fracture of Brittle Solids by Lawn B. R. (1975)
{'key': 'e_1_2_1_20_2', 'volume-title': 'The Mathematical Theory of Plasticity', 'author': 'Hill R.', 'year': '1950'} / The Mathematical Theory of Plasticity by Hill R. (1950)
{'key': 'e_1_2_1_21_2', 'first-page': '89', 'volume-title': 'Progress in Solid Mechanics', 'author': 'Eshelby J. D.', 'year': '1961'} / Progress in Solid Mechanics by Eshelby J. D. (1961)
{'key': 'e_1_2_1_22_2', 'volume-title': 'Handbook of Stress Intensity Factors', 'author': 'Sih G. C.', 'year': '1973'} / Handbook of Stress Intensity Factors by Sih G. C. (1973)
{'key': 'e_1_2_1_23_2', 'first-page': '4', 'volume-title': 'Experimental Techniques in Fracture Mechanics', 'author': 'Kobayashi A. S.', 'year': '1973'} / Experimental Techniques in Fracture Mechanics by Kobayashi A. S. (1973)
10.1111/j.1151-2916.1979.tb19075.x
{'issue': '7', 'key': 'e_1_2_1_25_2', 'first-page': '371', 'article-title': 'Fracture Toughness Determinations by Indentation', 'volume': '59', 'author': 'Evans A. G.', 'year': '1976', 'journal-title': 'ibid.'} / ibid. / Fracture Toughness Determinations by Indentation by Evans A. G. (1976)
{'key': 'e_1_2_1_26_2', 'volume-title': 'Hardness of Metals', 'author': 'Tabor D.', 'year': '1951'} / Hardness of Metals by Tabor D. (1951)
10.1007/BF00589840
10.1016/0022-3093(79)90154-6
10.1111/j.1151-2916.1979.tb12728.x
H. P.KirchnerandR. M.Gruver; pp.365–77in Ref. 2.
10.1016/0022-5096(70)90029-3
{'issue': '2', 'key': 'e_1_2_1_32_2', 'first-page': '125', 'article-title': 'An Experimental Investigation of the Deformed Zone Associated with Indentation Hardness Impressions', 'volume': '5', 'author': 'Samuels L. E.', 'year': '1957', 'journal-title': 'ibid.'} / ibid. / An Experimental Investigation of the Deformed Zone Associated with Indentation Hardness Impressions by Samuels L. E. (1957)
10.1098/rspa.1964.0114
S. S.Chiang A. G.Evans andD. B.Marshall “Indentation Response of Solids”;unpublished work.

Dates

Type	When
Created	19 years, 2 months ago (June 6, 2006, 9:16 p.m.)
Deposited	1 year, 11 months ago (Aug. 30, 2023, 7:11 a.m.)
Indexed	2 days, 15 hours ago (Aug. 19, 2025, 6:33 a.m.)
Issued	44 years, 11 months ago (Sept. 1, 1980)
Published	44 years, 11 months ago (Sept. 1, 1980)
Published Online	19 years, 2 months ago (June 2, 2006)
Published Print	44 years, 11 months ago (Sept. 1, 1980)

Funders 0

None

BibTeX

@article{LAWN_1980, title={Elastic/Plastic Indentation Damage in Ceramics: The Median/Radial Crack System}, volume={63}, ISSN={1551-2916}, url={http://dx.doi.org/10.1111/j.1151-2916.1980.tb10768.x}, DOI={10.1111/j.1151-2916.1980.tb10768.x}, number={9–10}, journal={Journal of the American Ceramic Society}, publisher={Wiley}, author={LAWN, B. R. and EVANS, A. G. and MARSHALL, D. B.}, year={1980}, month=sep, pages={574–581} }

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