Abstract
This paper gives an energy analysis of an elastic solid with a crack which penetrates an elastic inclusion. The purpose of our work is to evaluate the energy release rates (ERR) associated with crack tip extension while the inclusion is stationary, and to evaluate the ERR due to inclusion translation, rotation and expansion with respect to the crack tip. Reduction and increase in the crack ERR caused by an inclusion (shielding and amplification effects of the inclusion) are expressed in terms of the inclusion elastic properties normalized by Young's modulus of the bulk material. The variation in ERR as a crack approaches and passes through a circular inclusion is also examined.
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A Chudnovsky, ‘Crack Layer Theory’, NASA Report N174634 (1984).
J.Botsis and X.Q.Zhang, Journal of Material Science 26 (1991) 1241–1253.
O.Tamate, International Journal of Fracture 4 (1968) 257–265.
J.Tirosh and A.S.Tetelman, International Journal of Fracture 12 (1976) 187–199.
R.G.Hoagland and J.D.Embury, Journal of American Ceramic Society 63 (1980) 404–410.
A.Chudnovsky and M.Kachanov, Letter in Applied Engineering Science 21 (1983) 1009–1018.
H. Horii and S. Nemat-Nasser, in Advances in Aerospace Structure, Materials and Dynamics, U. Yuceoglu, R.L. Sierakowki and D.A. Glasgow (ed.), ASME (1983) 111–117.
M.Kachanov, International Journal of Fracture 28 (1985) R11-R19.
L.R.F.Rose, International Journal of Fracture 31 (1986) 233–242.
A.A.Rubinstein, Journal of Applied Mechanics 53 (1986) 505–510.
A.Chudnovsky, A.Dolgopolsky and M.Kachanov, International Journal of Solids and Structures 23, No. 1 (1987) 1–21.
R.Ballarini and M.Denda, International Journal of Fracture 37 (1988) 61–71.
F. Erdogan, G.D. Gupta and M. Ratwani, Journal of Applied Mechanics 41 (Dec. 1974) 1107–1013.
A.G.Evans and Y.Fu, Acta Metallurgica 33 (1985) 1515–1523.
D.Krajcinovic, Journal of Applied Mechanics 52 (1985) 829–834.
J.W.Hutchinson, Acta Metallurgica 35, No. 7 (1987) 1650–1619.
P.S. Steif, Journal of Applied Mechanics 54 (March 1987) 87–92.
M.Ortiz, Journal of Applied Mechanics 54 (1987) 54–58.
Chien H. Wu, Journal of Applied Mechanics 55 (September 1988) 736–738.
A.Chudnovsky and M.Ben Ouezdou, International Journal of Fracture 37 (1988) 3–11.
S.Wu and A.Chudnovsky, Engineering Fracture Mechanics 37, No. 3 (1990) 653–659.
A.Chudnovsky and ShaofuWu, International Journal of Fracture 44 (1990) 43–56.
A.Chudnovsky and ShaofuWu, International Journal of Fracture 49 (1991) 123–140.
R.D.Henshell and K.G.Shaw, International Journal for Numerical Methods in Engineering 9 (1975) 495–507.
G.C. Shi and H. Liebowitz, Fracture: An Advanced Treatise Vol. II, Academic Press (1968).
J.K.Knowles and E.Sternberg, Archive for Rational Mechanics and Analysis 44, No. 3 (1972) 187–211.
B. Budiansky and J.R. Rice, Journal of Applied Mechanics 40 (March, 1973) 201–203.
Robert M. Jones, Mechanics of Composite Materials, Script Book Company (1975).
M.Isida, Engineering Fracture Mechanics 2 (1970) 61–79.
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Li, R., Chudnovsky, A. Energy analysis of crack interaction with an elastic inclusion. Int J Fract 63, 247–261 (1993). https://doi.org/10.1007/BF00012471
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DOI: https://doi.org/10.1007/BF00012471