Abstract
The extended J-integral for 3D linear elastostatic crack problems and its application to mixed mode problems is investigated. In 3D, the decomposition of the J-integral into its parts corresponding to the symmetric mode I and both antisymmetric modes II and III is derived explicitly. The range of validity of the decomposition method is also discussed in the framework of linear elastic fracture mechanics (LEFM). It is shown analytically that in a general mixed mode case the antisymmetric part of the J-integral can be split into the parts associated with mode II and mode III only in the crack near-field.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
H. Miyamoto and M. Kikuchi, Theoretical Applied Mechanics 28 (1980) 195–204.
K. Kishimoto, S. Aoki and M. Sakata, Engineering Fracture Mechanics 13 (1980) 841–850.
M. Amestoy, H.D. Bui and R. Labbens, Mechanic Research Communications 8 (1981) 231–236.
G.P. Cherepanov, Mechanics of Brittle Fracture, R.W. DeWitt and W.C. Coody (eds.), McGraw-Hill, New York (1979).
G.P. Nikishkov and S.N. Atluri, International Journal of Numerical Methods in Engineering 24 (1987) 1801–1821.
H. Ishikawa, H. Kitagawa and H. Okamura, in 3rd International Conference on Mechanical Behaviour of Materials, Cambridge, K.J. Miller and R.F. Smith (eds.) (1979) 447–455.
T. Nishioka and S.N. Atluri, Engineering Fracture Mechanics 20, No. 2 (1984) 193–208.
R.H. Rigby and M.H. Aliabadi, in Proceedings of 2nd International Conference on Computer Aided Assessment and Control (1992) 91–105.
O. Huber and G. Kuhn, in Boundary Elements XIV, Vol. 2, C.A. Brebbia et al. (eds.) CM Publications, Southampton (1992) 367–382.
O. Huber, A. Lang and G. Kuhn, Computational Mechanics 12 (1993) 39–50.
R.H. Rigby and M.H. Aliabadi, Engineering Analysis with Boundary Elements 11, 16.3(1993) 239–256.
F.-G. Buchholz, P. Diekmann, H.A. Richard and H. Grebner, in Proceedings of the 9th European Conference on Fracture, Bulgaria (1992) 795–800.
P. Diekmann, P. Pawilska and H.A. Richard, International Journal of Fracture 57 (1992) 249–252
K.N. Shivakumar and I.S. Raju, NASA CR-182021 (1990).
J.D. Eshelby, in Inelastic Behaviour of Solids, M.F. Kanninen (ed.) (1970) 77–114.
J.R. Rice, ASME Journal of Applied Mechanics 34 (1968) 379–386.
G.P. Cherepanov, Prikladnaia Matematika i Mekhanika 31 (1967) 476–488.
G.R. Irwin, ASME Journal of Applied Mechanics 24 (1957) 361–364.
A.G. Herrmann and G. Herrmann, ASME Journal of Applied Mechanics 48 (1981) 525–528.
R.J. Hartranft and G.C. Sih, Journal of Mathematics and Mechanics 19, No. 2 (1969) 123–138.
G.C. Sih, International Journal of Fracture 7 (1971) 39–61.
J. Nickel, Technische Mechanik, 5, Heft 2 (1984) 36–41.
M.L. Luchi and A. Poggialini, in 5th International Conference on Boundary Element Methods, C.A. Brebbia (ed.) Berlin (1983).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Huber, O., Nickel, J. & Kuhn, G. On the decomposition of the J-integral for 3D crack problems. Int J Fract 64, 339–348 (1993). https://doi.org/10.1007/BF00017849
Received:
Accepted:
Issue Date:
DOI: https://doi.org/10.1007/BF00017849