Abstract
The principle of superposition is used to solve the problem and the original problem is converted into two particular hole edge crack problems. The remote stresses are applied at infinity in the first problem. Meantime, a dislocation distribution is assumed outside the hole contour in the second problem. Singular integral equation is proposed for the solution of the second problem, in which the right hand side of the integral equation is obtained from the solution of the first problem. The first problem as well as the elementary solution of the second problem are solved by means of the rational mapping approach. Finally, numerical examples with the calculated results of stress intensity factors are presented.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
N.Hasebe and M.Ueda, Engineering Fracture Mechanics 13 (1980) 913–923
N.Hasebe, A.Tomida and T.Nakamura, Journal of Thermal Stresses 11 (1988) 381–391
N.Hasebe, A.Tomida and T.Nakamura, Journal of Thermal Stresses 12 (1989) 71–81
N.Hasebe, K.Yoshikawa, M.Ueda and T.Nakamura, Archive of Applied Mechanics 64 (1994) 295–306
X.Zhang and N.Hasebe, Archive of Applied Mechanics 63 (1993) 505–512
Y.Murakami, Transactions of Japan Society of Mechanical Engineering 44 (1978) 423–432, in Japanese
H.Nisitani, D.H.Chen and M.Isida, Transactions of Japan Society Mechanical Engineering 50 (1984) 330–340, in Japanese
H.Nisitani, D.H.Chen and M.Isida, Transactions of Japan Society of Mechanical Engineering 50 (1984) 341–350, in Japanese
J.Schijve, International Journal of Fracture 23 (1983) 111–115
J.Tweed and D.P.Rooke, International Journal of Engineering Science 11 (1973) 1185–1195
O.L.Bowie, Journal of Mathematical Physics 35 (1956) 60–71
J.C. Newman, NASA TN D-6376 (1971) 1–45
N.Hasebe and S.Inohara, Ingenieur-Archive 49 (1980) 51–62
N.Hasebe, T.Nakamura and Y.Ito, Journal of Applied Mechanics 61 (1994) 555–559
N.I.Muskhelishvili, Some Basic Problems of Mathematical Theory of Elasticity, Noordhoff, Netherlands (1963)
N.Hasebe, M.Okumura and T.Nakamura, Journal of Applied Mechanics 59 (1992) 77–83
Y.Z.Chen, Engineering Fracture Mechanics 20 (1984) 767–776
Y.Z.Chen and N.Hasebe, Engineering Fracture Mechanics 43 (1992) 257–268
F.Erdogan, in Methods of Analysis and Solutions of Crack Problems, G.C.Sih (ed.), Noordhoff, Leyden (1973)
M.P.Savrak, Two-dimensional Problems of Elasticity for Body with Crack, Dumka, Kiev (1981), in Russian
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Hasebe, N., Chen, Y.Z. Stress intensity solutions for the interaction between a hole edge crack and a line crack. Int J Fract 77, 351–366 (1996). https://doi.org/10.1007/BF00036252
Received:
Accepted:
Issue Date:
DOI: https://doi.org/10.1007/BF00036252