Abstract
Motivaded by recent theoretical studies the elastodynamic response of an orthotropic material with a semi-infinite line crack, which propagates intersonically. is revisited through an approach which differs from those used in previous studies. The near tip stress and displacement fields are obtained for Mode I and Mode II of steady state crack propagation. The strain energy release rate analysis confirms that the Mode I is physically impossible due to the order of stress singularity, which is larger then one half. For Model II the order of stress is less than one half and it is shown that a steady state intersonic propagation is allowed only for a particular crack tip velocity which is a function of the material orthotropy.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Broberg, K.B. (1999). Intersonic crack propagation in an orthotropic material. International Journal of Fracture 99, 1–11.
Gao, H., Huang, Y., Gumbsch, P. and Rosakis, A.J. (1999). On radiation-free transonic motion of cracks and dislocations. Journal of Mechanics, Physics and Solids 47, 1941–1961.
Huang, Y., Liu, C. and Rosakis, A.J. (1996). Transonic crack growth along a bimaterial interface: an investigation of the asymptotic structure of near-tip fields. International Journal of Solids and Structures 33, 2625–2645.
Huang, Y., Wang, W., Liu, C. and Rosakis, A.J. (1999). Analysis of Intersonic Crack Growth in Unidirectional Fiber-Reinforced Composites. Journal of Mechanics, Physics and Solids 47, 1893–1916.
Liu, C., Huang, Y. and Rosakis, A.J. (1995). Shear Dominated Transonic Crack Growth in a Bimaterial-II. Asymptotic Fields and Favorable Velocity Regimes. Journal of Mechanics, Physics and Solids 43, 189–206.
Piva, A. and Hasan, W. (1996). Effect of orthotropy on the intersonic shear crack propagation. Journal of Applied Mechanics 63, 933–938.
Piva, A. (1987). An alternative approach to elastodynamic crack problems in an orthotropic medium. Quarterly of Applied Mathematics 45, 97–104.
Piva, A. and Viola, E.L. (1988). Crack propagation in an orthotropic medium. Engineering Fracture of Mechanics 29, 535–548.
Yu, H. and Yang, W. (1995). Mechanics of Transonic Debonding of a Bimaterial Interface: the In-Plane Case. Journal of Mechanics, Physics and Solids 43,207–232.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Federici, L., Nobile, L., Piva, A. et al. On the intersonic crack propagation in an orthotropic medium. International Journal of Fracture 112, 69–85 (2001). https://doi.org/10.1023/A:1013517324354
Issue Date:
DOI: https://doi.org/10.1023/A:1013517324354