Characteristic Parameters of Dynamic Crack Growth along the Interface between the Two Orthotropic Materials

Abstract:

In this paper is analyzed the behavior of parameters that characterize the process of a dynamic crack growth along the interface between the two orthotropic materials. The emphasis is placed on the application of the fracture mechanics concept for the interfacial crack that propagates dynamically, at high speed. In this work is considered the behavior of the oscillation index, the traction resolution factor and the energy factor depending on the crack tip speed and the stifnesses ratio. The oscillatory index increases with the crack tip speed and tends to infinity when the crack speed approaches the Rayleigh wave speed of the less stiff of the two materials. The traction resolution factor depends strongly on the crack speed but weakly on the stiffness ratio. The behavior of the energy factor is completely different from the behavior of the traction resolution factor. Results provided in this paper can be used as a guide for micromechanical modeling of materials.

• Periodical: Advanced Materials Research (Volumes 452-453)
• Pages: 1184-1189
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.452-453.1184
• Online since: January 2012
• Authors: Jelena M. Djokovic, Ružica R. Nikolić
• Keywords: Dynamic Crack Growth, Interfacial Crack, Orthotropic Materials

References

[1] R.V. Goldshtein: On the steady motion of a crack along a straight line boundary between two joined materials, Inzh. Zh. MTT, Vol. 5, (1966), pp.93-101.

[2] L.M. Brock and J.D. Achenbach: Extension of an interface flaw under the influence of transient waves, Int. J. Solids Struct, Vol. 9, (1973), pp.53-67.

DOI: 10.1016/0020-7683(73)90032-2

[3] J.R. Willis: Fracture mechanics of interfacial cracks, J. Mech. Phys. Solids, Vol. 19, (1971), pp.353-368.

[4] J.R. Willis: Self-similar problems in elastodynamics, Phil. Trans. R. Soc. (London), Vol. 274, (1973), pp.435-491.

[5] C. Atkinson: Dynamic crack problems in dissimilar media, in Mechanics of fracture 4: elastodynamic crack problems (ed. G.C. Sih), pp.213-248, Leyden: Noordhoff, (1977).

[6] Tippur H. V. and A.J. Rosakis: Quasi-static and dynamic crack growth along bimaterial interfaces: A note on crack-tip field measurements using coherent gradient, Int. J. of Fracture, Vol. 48, (1991), pp.243-251.

DOI: 10.1007/bf02326067

[7] A.J. Rosakis, Y.J. Lee and J. Lambros: Dynamic Crack Growth in Bimaterial Interfaces, Experiments in Micromechanics of Failure Resistant Materials, AMD - Vol. 130, ASME, (19910, pp.17-23.

[8] W. Yang, Z. Suo and C.F. Shih: Mechanics of dynamic debonding, Proc. R. Soc. London, A 433, (1991), pp.679-697.

[9] X. Deng: Complete complex series expansions of near-tip fields for steadily growing interface cracks in dissimilar isotropic materials, Engng Fracture Mech. 42(2), (1992), pp.237-242.

DOI: 10.1016/0013-7944(92)90214-y

[10] C.Y. Lo, T.N. Nakamura and A. Kushner: Computational Analysis of Dynamic Crack Propagation along Bimaterial Interface, Int. J. of Solid Structures, 31, (1992), pp.145-168.

DOI: 10.1016/0020-7683(94)90048-5

[11] R.R. Nikolić and J.M. Veljković: Some Aspects Dynamics Interfacial Cracks Growth, in Fracture of Nano and Engineering Materials and Structures (p.1416), Edited by E.E. Gdoutos, Springer (2006).

[12] J.R. Willis: The stress field near the tip of an accelerating crack, J. Mech. Phys. Solids, 40 (7), (1992), pp.1671-1681.

DOI: 10.1016/0022-5096(92)90045-4

[13] R.R. Nikolic, J.M. Djokovic and M.V. Mićunović, The Competition Between the Crack Kinking Away From the Interface and Crack Propagation Along the Interface in Elastic Bicrystals, International Journal of Fracture, Vol. 164, No. 1, (2010).

DOI: 10.1007/s10704-010-9456-y