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BRIEF NOTES

Crack-Tip Field of a Supersonic Bimaterial Interface Crack

[+] Author and Article Information
J. Wu

Conexant Systems, Inc., 4311 Jamboree Road, Newport Beach, CA 92561.

J. Appl. Mech 69(5), 693-696 (Aug 16, 2002) (4 pages) doi:10.1115/1.1427338 History: Received September 26, 2000; Revised July 30, 2001; Online August 16, 2002
Copyright © 2002 by ASME
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References

Rice,  J. R., 1988, “Elastic Fracture Mechanics Concepts for Interfacial Cracks,” ASME J. Appl. Mech., 55, pp. 98–103.
Zhigang,  Suo, 1990, “Singularities, Interfaces and Cracks in Dissimilar Anisotropic Media,” Proc. R. Soc. London, Ser. A, A427, pp. 331–358.
Ting, T. C. T., and Chadwick, P., 1988, “Harmonic Waves in Periodically Layered Anisotropic Elastic Composites,” Wave Propagation in Structural Composites, A. X. Mal and T. C. T., eds., ASME, New York, pp. 69–79.
Tippur,  H. V., and Rosakis,  A. J., 1991, “Quasi-Static and Dynamic Crack Growth Along Bimaterial Interfaces: A Note on Crack-Tip Field Measurement Using Coherent Gradient Sensing,” Exp. Mech., 31, No. 3, pp. 243–251.
Liu,  C., Lambros,  J., and Rosakis,  A. J., 1993, “Highly Transient Elasto-Dynamic Crack Growth in a Bimaterial Interface: Higher Order Asymptotic Analysis and Optical Experiment,” J. Mech. Phys. Solids, 41, No. 12, pp. 1887–1954.
Lambros,  J., and Rosakis,  A. J., 1995, “Shear Dominated Transonic Crack Growth in a Bimaterial—Experimental Observations,” J. Mech. Phys. Solids, 43, No. 2, pp. 169–188.
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,” Int. J. Solids Struct., 33, No. 18, pp. 2625–2645.
Wu, Jianxin, 2000, “Asymptotic Analysis of Supersonic Bimaterial Interface Cracks Using the Sextic Approach,” Seismic Engineering, ASME, New York, pp. 81–88.
Stroh,  A. N., 1962, “Steady-State Problems in Anisotropic Elasticity,” J. Math. Phys., XLI, No. 2, pp. 77–102.
Yu,  H. H., and Suo,  Z., 2000, “Intersonic Crack Growth on an Interface,” Proc. R. Soc. London, Ser. A, A45b, pp. 223–246.
Bacon,  D. J., Barnett,  D. M., and Scattergood,  R. O., 1980, “Anisotropic Continuum Theory of Lattice Defects,” Prog. Mater. Sci., 23, pp. 51–262.
Gutekunst,  G., Mayer,  J., and Rühle,  M., 1994, “The Niobium/Sapphire Interface: Structural Studies by HREM,” Scripta Metall., 31(8), pp. 1097–1102.
Bernstein,  T. B., 1963, “Elastic Constants of Synthetic Sapphire at 27°C,” J. Appl. Phys., 34, No. 1, pp. 169–172.
Bolef,  D. I., 1961, “Elastic Constants of Single Crystals of the bcc Transition Elements V, Nb, and Ta,” J. Appl. Phys., 32, pp. 100–105.
Freund, L. B., Dynamic Fracture Mechanics, 1990, Cambridge University Press, Cambridge, UK.

Figures

Grahic Jump Location
A half-space crack with its tip moving at a constant speed v with respect to the quiescent coordinate system x–o–y
Grahic Jump Location
A singular characteristic line corresponding to a real eigenvalue in the Stroh eigenvalue problem Eq. (1)
Grahic Jump Location
The real part of the two coupled branches of the oscillatory index as a function of the crack-tip speed for the anisotropic niobium-basal sapphire system. The two branches have identical real parts but with opposite sign. The third branch always has a zero real part.
Grahic Jump Location
Crack-tip singularity exponent q as a function of the crack-tip speed for the anisotropic niobium-basal sapphire system. Note, q=1/2+εm, where εm is the imaginary part of the oscillatory index ε.
Grahic Jump Location
The real part of the two coupled branches of the oscillatory index as a function of the crack-tip speed for the isotropic PMMA-steel system. The two branches have identical real parts but with opposite sign. The third branch always has a zero real part.
Grahic Jump Location
Crack-tip singularity exponent q as a function of the crack-tip speed for the isotropic PMMA-steel system. Note, q=1/2+εm, where εm is the imaginary part of the oscillatory index ε.
Grahic Jump Location
Crack-tip singularity exponent q as a function of the crack-tip speed for the homogeneous anisotropic basal sapphire system. Note, q=1/2+εm, where εm is the imaginary part of the oscillatory index ε.
Grahic Jump Location
Crack-tip singularity exponent q as a function of the crack-tip speed for the homogeneous isotropic PMMA system. Note, q=1/2+εm, where εm is the imaginary part of the oscillatory index ε.

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