Abstract
The application of the dual boundary element method and the path independentĴ-integral for the evaluation of dynamic stress intensity factors of stationary cracks in a linear elastic material is presented. The distinct set of boundary equations of elastodynamics is obtained by using the dual boundary element method and the dual reciprocity approach. Numerical implementation of the path-independentĴ-integral and the decomposition technique is presented. The method is applied for several cracked structures and the results are compared with solutions obtained by using other methods.
Similar content being viewed by others
References
G.D. Manolis and D.E. Beskos,Boundary Element Methods in Elastodynamics, Unwin Hyman, London (1988).
J. Dominguez,Boundary Elements in Dynamics, Computational Mechanics Publications, Southampton, Elsevier Applied Science, London (1993).
M.H. Aliabadi and D.P. Rooke,Numerical Fracture Mechanics, Computational Mechanics Publications, Southampton, Kluwer Academic Publishers, Dordrecht (1991).
A. Portela, M.H. Aliabadi and D.P. Rooke,International Journal for Numerical Methods in Engineering 33 (1992) 1269–1287.
A. Portela, M.H. Aliabadi and D.P. Rooke,Computers and Structures 46,2 (1993) 237–247.
Y. Mi and M.H. Aliabadi,Engineering Anal. Boundary Elements 10 (1992) 161–171.
P. Fedelinski, M.H. Aliabadi and D.P. Rooke,BE Abstracts 4,4 (1993) 150–152.
P. Fedelinski, M.H. Aliabadi and D.P. Rooke,Engineering Anal. Boundary Elements 12 (1993) 203–210.
K. Kishimoto, S. Aoki and M. Sakata,Engineering Fracture Mechanics 13 (1980) 841–850.
J.R. Rice,ASME Journal of Applied Mechanics 35 (1968) 379–386.
K. Kishimoto, S. Aoki and M. Sakata,Engineering Fracture Mechanics 13 (1980) 387–394.
S. Mall, inProceedings 2nd International Conference on Numerical Methods in Fracture Mechanics, D.R.J. Owen and A.R. Luxmoore (eds.), Pineridge Press, Swansea (1980) 539–551.
T. Nishioka and S.N. Atluri,Engineering Fracture Mechanics 18 (1983) 23–33.
T. Nishioka and S.N. Atluri,Engineering Fracture Mechanics, 20 (1984) 193–208.
B.M. Liaw, A.S. Kobayashi and A.F. Emery,International Journal for Numerical Methods in Engineering 20 (1984) 967–977.
P. Fedelinski, M.H. Aliabadi and D.P. Rooke, inProceedings Boundary Element Technology VIII, H. Pina and C.A. Brebbia (eds.), Computational Mechanics Publications, Southampton (1993) 267–276.
C.A. Brebbia and D. Nardini,Soil Dynamics and Earth Engineering 2,4 (1983) 228–233.
P.W. Partridge, C.A. Brebbia and L.C. Wrobel,The Dual Reciprocity Boundary Element Method, Computational Mechanics Publications, Southampton (1992).
K.J. Bathe and E.L. Wilson,Numerical Methods in Finite Element Analysis, Prentice-Hall Inc., Englewood Cliffs, New Jersey (1976).
T. Nishioka and S.N. Atluri,Engineering Fracture Mechanics 18 (1983) 1–22.
S.N. Atluri, inComputational Methods in the Mechanics of Fracture, S.N. Atluri (ed.), 2, North Holland (1986) 121–165.
V. Murti and S. Valliappan,Engineering Fracture Mechanics 23 (1986) 585–614.
T. Nishioka and S.N. Atluri,ASME Journal of Applied Mechanics 47 (1980) 577–582.
J. Dominguez and R. Gallego,International Journal for Numerical Methods in Engineering 33 (1992) 635–647.
Author information
Authors and Affiliations
Additional information
On leave from Silesian Technical University of Gliwice, Poland.
Rights and permissions
About this article
Cite this article
Fedelinski, P., Aliabadi, M.H. & Rooke, D.P. The dual boundary element method:Ĵ-integral for dynamic stress intensity factors. Int J Fract 65, 369–381 (1994). https://doi.org/10.1007/BF00012375
Received:
Accepted:
Issue Date:
DOI: https://doi.org/10.1007/BF00012375