Abstract
A general theory is presented for the fracture of cementitious materials. It is shown that crack growth resistance curves can be constructed for cement pastes using fracture data available in the literature. The crack growth resistance curves are used to explain the specimen size and crack length dependence of fracture toughness in cement pastes.
Similar content being viewed by others
References
D. D. Higgins andJ. E. Bailey,J. Mater. Sci. 11 (1976) 1995.
P. F. Walsh,Indian Concr. J. 46 (1972) 469.
F. Moavenzadeh andR. Kugvel,J. Mater. 4 (1969) 497.
J. H. Brown,Mag. Concr. Res. 24 (1972) 185.
D. J. Naus andJ. L. Lott,Amer. Concr. Inst. J. 69 (1969) 481.
J. H. Brown andC. P. Pomeroy,Cement Concr. Res. 3 (1973) 475.
S. P. Shah andF. J. McGarry,Proc. ASCE J. Eng. Mech. Div. 97 (1971) 1663.
J. D. Birchall, A. J. Howard andK. Kendall,Nature 289 (1981) 388.
O. E. Gjorv, S. I. Sorensen andA. Arnesen,Cement Concr. Res. 7 (1977) 333.
P. S. Strange andA. H. Bryant,Proc. ASCE J. Eng. Mech. Div. 105 (1979) 337.
B. Hillemeier andK. H. Hilsdorf,Cement Concr. Res. 7 (1977) 523.
M. Wecharatana andS. P. Shah, in “Fracture Mechanics of Concrete”, edited by F. H. Wittmann (Elsevier, Amsterdam, 1983) pp. 463–480.
S. Diamond andS. Mindess, in Proceedings of 7th International Congress on the Chemistry of Cement, Paris, 1980, Vol. III, pp. VI-114 119.
D. D. Higgins andJ. E. Bailey, in Proceedings of the Conference on Hydraulic Cement Pastes, Sheffield (Cement and Concrete Association, UK, 1976) pp. 283–296.
S. Mindess, J. S. Nadeau andJ. M. Hay,Cement Concr. Res. 4 (1974) 953.
N. B. Eden andJ. E. Bailey,J. Mater. Sci. 19 (1984) 2677.
A. Hillerborg, M. Modeer andP. E. Petersson,Cement Concr. Res. 6 (1976) 773.
A. Hillerborg, in “Fracture Mechanics of Concrete”, edited by F. H. Wittmann (Elsevier, Amsterdam, 1983) pp. 223–249.
R. M. L. Foote, Y-W. Mai andB. Cotterell,J. Mech. Phys. Solids 34 (1986) 593.
Y. S. Jenq andS. P. Shah,J. Eng. Mech., ASCE 111 (1985) 1227.
R. M. L. Foote, B. Cotterell andY. W. Mai, in “Advances in Cement-Matrix Composites”, edited by D. M. Roy (Materials Research Society, Philadelphia, 1980) pp. 135–144.
Y. W. Mai, R. M. L. Foote andB. Cotterell,Int. J. Cement Campos. 2 (1980) 23.
Y. W. Mai andB. Cotterell,ibid. 4 (1982) 33.
B. Cotterell, Y. W. Mai andR. M. L. Foote, in Proceedings of Symposium on Engineering Applications of New Composites, University of Patras, Greece, in press.
K. L. Watson,Cement Concr. Res. 8 (1978) 651.
R. A. Schmidt,Expl. Mech. 15 (1976) 161.
Y. W. Mai andA. G. Atkins,J. Strain Anal. 15 (1976) 161.
A. G. Atkins andY. W. Mai, “Elastic and Plastic Fracture: Metals, Polymers, Ceramics, Composites, Biological Materials” (Ellis Horwood/John Wiley, Chichester, 1985) Ch. 3.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Cotterell, B., Mai, YW. Crack growth resistance curve and size effect in the fracture of cement paste. J Mater Sci 22, 2734–2738 (1987). https://doi.org/10.1007/BF01086465
Received:
Accepted:
Issue Date:
DOI: https://doi.org/10.1007/BF01086465