Abstract
Effects of microvoid nucleation and growth on the stress and strain fields near a crack tip are studied by employing the Gurson's constitutive model of porous plastic solids and by using a finite element method suitably formulated to admit large geometry change. It is shown that microvoids nucleate and grow rapidly in the region at a distance less than the blunted tip diameter away from the crack tip and have a great influence on the stress fields therein. Effects of a large void near a crack tip on crack initiation are also investigated by taking the shear localization into account. The critical value of the crack tip opening displacement predicted by the present investigation is shown to coincide with the published experimental data.
Résumé
On examine les effets d'une nucléation et d'une croissance de micro-cavités sur les champs de contrainte et de déformation au voisinage de l'extrémité d'une fissure en recourant au modèle constitutif de Gurson pour les solides poreux plastiques, et en utilisant une méthode par éléments finis formulée de manière à admettre des modifications importantes de géométrie. On montre que les microcavités coalescent et croissent rapidement en avant de la fissure sur une distance inférieure au diamètre qu'atteint l'arrondissement de la fissure et qu'elles ont une grande influence sur le champ de contrainte qui règne dans cette région. On étudie également l'influence d'une grande lacune au voisinage de l'extrémité d'une fissure sur l'amorçage de la cassure, en prenant en compte le cisaillement local. On montre que la valeur critique du COD à l'extrémité de la fissure telle que prédite par la présente étude coïncide avec les données expérimentales de la littérature.
Similar content being viewed by others
References
J.R. Rice and M.A. Johnson, in Inelastic Behavior of Solids, (Eds. M.F. Kanninen, W. Adler, A. Rosenfield, and R. Jaffee) McGraw-Hill (1970) 641–672.
R.M. McMeeking, Journal of Mechanics and Physics of Solids 25 (1977) 357–381.
T. Miyoshi and M. Shiratori, Transactions of the Japan Society of Mechanical Engineers 48A (1982) 590–577 (in Japanese).
M. Saka, T. Shoji, H. Takahashi and H. Abe, Transactions of the Japan Society of Mechanical Engineers 47A (1981) 148–157 (in Japanese).
F.A. McClintock, Transactions of the American Society of Mechanical Engineers, Series E, Journal of Applied Mechanics 35 (1968) 363–371.
J.R. Rice and D.M. Tracey, Journal of Mechanics and Physics of Solids 17 (1969) 201–217.
B. Budiansky, J.W. Hutchinson and S. Stutsky, Mechanics of Solids, The Rodney Hill 60th Anniversary Volume (Eds. H.G. Hopkins and M.J. Sewell) Pergamon (1981).
P.F. Thomason, Journal of the Institute of Metals 96 (1968) 360–365.
H. Miyamoto and T. Miyoshi, The Preprint of JSME Meeting 710 (1971) 147–149 (in Japanese).
A Needleman, Transactions of the American Society of Mechanical Engineers, Series E, Journal of Applied Mechanics 39 (1972) 964–970.
H. Anderson, Journal of Mechanics and Physics of Solids 25 (1977) 217–233.
A.L. Gurson, Transactions of the American Society of Mechanical Engineers, Series H, Journal of Engineering Material and Technology 99 (1977) 2–15.
C.A. Berg, in Inelastic Behavior of Solids (Eds. M.F. Kanninen, W. Adler, A. Rosenfield and R. Jaffee) McGraw-Hill (1970) 171–210.
S. Nemat-Nasser, M.M. Mehrabadi and T. Iwakuma, in Three-Dimensional Constitutive Relations and Ductile Fracture (Ed. S. Nemat-Nasser) North-Holland (1981) 157–172.
M. Oyane, Journal of the Japan Society of Mechanical Engineers 75 (1971) 596–601 (in Japanese).
H. Yamamoto, International Journal of Fracture, 14 (1978) 347–365.
A. Needleman and J.R. Rice, in Mechanics of Sheet Metal Forming (Eds. D.P. Koisten and N.M. Wang) Plenum (1978) 273–267.
V. Tvergaard, Journal of Mechanics and Physics of Solids 30 (1982) 265–286.
J.F.W. Bishop and R. Hill, Philosophical Magazine 42 (1951) 414–427.
R.M. McMeeking and J.R. Rice, International Journal of Solids and Structures 11 (1975) 601–616.
Y. Yamada, Plasticity and Viscoelasticity, Baifukan (1977) (in Japanese).
H. Okamura, Linear Fracture Mechanics, Baifukan (1978) (in Japanese).
J.W. Hutchinson, Journal of Mechanics and Physics of Solids 16 (1968) 13–31.
J.R. Rice and G.F. Rosengren, Journal of Mechanics and Physics of Solids 16 (1968) 1–12.
H. Kitagawa, Journal of the Japan Society for Technology of Plasticity 22 (1981) 638–644 (in Japanese).
J.W. Rudnicki and J.R. Rice, Journal of Mechanics and Physics of Solids 23 (1975) 371–394.
J.B. Cox and J.R. Low, Metallurgical Transactions 5 (1974) 1457–1470.
R.H. Vanstone, R.H. Merchant and J.R. Low, ASTM STP 556 (1974) 93–124.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Aoki, S., Kishimoto, K., Takeya, A. et al. Effects of microvoids on crack blunting and initiation in ductile materials. Int J Fract 24, 267–278 (1984). https://doi.org/10.1007/BF00020741
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF00020741