Finite-Element Calculation of Elastodynamic Stress Intensity Factors along a 3D Nonplanar Curved Crack
Publication: Journal of Engineering Mechanics
Volume 135, Issue 6
Abstract
A numerical procedure is presented for calculation of the mixed-mode elastodynamic stress intensity factors for a stationary three-dimensional curved crack with nonplanar surfaces. The computational scheme is developed by modifying the concept of the elastodynamic integrals, which are shown to be surface independent in a modified sense. As the near-front region needs to be included in the calculation, special treatment is thus addressed to modeling the elastodynamic singular behavior. Neither extra auxiliary solutions nor singular finite elements are required for the computation
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Acknowledgments
This work has been partially supported by National Science Council Grant No. NSC96-2211-E-008-037 to National Central University.
References
Abe, H., Hayashi, K., and Kiko, M. (1984). “Stress intensity factors for a cylindrically curved elliptical crack.” Trans. Jpn. Soc. Mech. Eng., Ser. A, 50(455), 1367–1375.
Chang, J. H., and Wu, D. J. (2007). “Stress intensity factor computation along a non-planar curved crack in three dimensions.” Int. J. Solids Struct., 44(2), 371–386.
Chen, F. H. K., and Shield, R. T. (1977). “Conservation laws in elasticity of the J-integral type.” Z. Angew. Math. Phys., 28(1), 1–22.
Dominguez, J., and Gallego, R. (1992). “Time domain boundary element method for dynamic stress intensity factor computations.” Int. J. Numer. Methods Eng., 33(3), 635–647.
Eriksson, K. (2002). “A domain independent integral expression for the crack extension force of a curved crack in three dimensions.” J. Mech. Phys. Solids, 50(2), 381–403.
Forth, S. C., and Keat, W. D. (1996). “Three-dimensional nonplanar fracture model using the surface integral method.” Int. J. Fract., 77(3), 243–262.
Freund, L. B. (1990). Dynamic fracture mechanics, Cambridge University Press, New York.
Gosz, M., and Moran, B. (2002). “An interaction energy integral method for computation of mixed-mode stress intensity factors along non-planar crack fronts in three dimensions.” Eng. Fract. Mech., 69(3), 299–319.
Herrmann, A. G., and Herrmann, G. (1981). “On energy release rates for a plane crack.” ASME Trans. J. Appl. Mech., 48(3), 525–528.
Hirose, S., and Achenbach, J. D. (1989). “Time-domain boundary element analysis of elastic wave interaction with a crack.” Int. J. Numer. Methods Eng., 28(3), 629–644.
Huber, O., Nickel, J., and Kuhn, G. (1993). “On the decomposition of the J-integral for 3D crack problems.” Int. J. Fract., 64(4), 339–348.
Lorentzon, M., and Eriksson, K. (2000). “A path independent integral for the crack extension force of the circular arc crack.” Eng. Fract. Mech., 66(5), 423–439.
Nikishkov, G. P., and Atluri, S. N. (1987). “Calculation of fracture mechanics parameters for an arbitrary three-dimensional crack, by the equivalent domain integral method.” Int. J. Numer. Methods Eng., 24(9), 1801–1821.
Nishioka, T., and Atluri, S. N. (1983). “Path-independent integrals, energy release rates, and general solutions of near-tip fields in mixed-mode dynamic fracture mechanics.” Eng. Fract. Mech., 18(1), 1–22.
Rigby, R. H., and Aliabadi, M. H. (1998). “Decomposition of the mixed-mode J-integral—Revisited.” Int. J. Solids Struct., 35(17), 2073–2099.
Shivakumar, K. N., and Raju, I. S. (1992). “An equivalent domain integral method for three-dimensional mixed-mode fracture.” Eng. Fract. Mech., 42(6), 935–959.
Sladek, V., and Sladek, J. (1983). “Three-dimensional curved crack in an elastic body.” Int. J. Solids Struct., 19(5), 425–436.
Stern, M., Becker, E. B., and Dunham, R. S. (1976). “A contour integral computation of mixed-mode stress intensity factors.” Int. J. Fract., 12(3), 359–368.
Wen, P. H., Aliabadi, M. H., and Young, A. (1999). “A time-dependent formulation of dual boundary element method for 3D dynamic crack problems.” Int. J. Numer. Methods Eng., 45(12), 1887–1905.
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© 2009 ASCE.
History
Received: Oct 4, 2005
Accepted: Dec 9, 2008
Published online: May 15, 2009
Published in print: Jun 2009
Notes
Note. Associate Editor: Bojan B. Guzina
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