0
TECHNICAL PAPERS

Transient Study of Mode III Fracture in an Elastic Solid With a Single Plane of Material Symmetry

[+] Author and Article Information
L. M. Brock

Mechanical Engineering, University of Kentucky, Lexington, KY 40506e-mail: brock@engr.uky.edu

J. Appl. Mech 70(2), 227-233 (Mar 27, 2003) (7 pages) doi:10.1115/1.1533807 History: Received March 17, 2002; Revised July 26, 2002; Online March 27, 2003
Copyright © 2003 by ASME
Your Session has timed out. Please sign back in to continue.

References

Lekhnitskii, S. G., 1963, Theory of Elasticity of an Anisotropic Elastic Body, Holden-Day, San Francisco.
Ting, T. C. T., 1996, Anisotropic Elasticity, Oxford Science, New York.
Kraut,  E. A., 1963, “Advances in the Theory of Anisotropic Wave Propagation,” Rev. Geophys., 1, pp. 401–488.
Payton, R. G., 1983, Elastic Wave Propagation in Transversely Isotropic Media, Martinus Nijhoff, The Hague.
Burridge,  R., and Willis,  J. R., 1969, “The Self-Similar Problem of the Expanding Elliptical Crack in an Anisotropic Solid,” Proc. Cambridge Philos. Soc., 66, pp. 443–468.
Broberg,  K. B., 1999, “Intersonic Crack Propagation in an Orthotropic Material,” Int. J. Fract., 99, pp. 1–11.
Brock, L. M., 2002, “Dynamic Anti-Plane Fracture in Arbitrary Directions in the Single Plane of Material Symmetry of an Anisotropic Solid,” submitted for publication.
Eshelby,  J. D., Read,  W. T., and Shockley,  W., 1953, “Anisotropic Elasticity With Applications to Dislocation Theory,” Acta Metall., 1, pp. 251–259.
Achenbach,  J. D., 1970, “Extension of a Crack by a Shear Wave,” ZAMP, 21, pp. 887–900.
Brock,  L. M., 1974, “Quasi-Sudden Brittle Fracture at Both Edges of a Finite Crack,” Int. J. Eng. Sci., 12, pp. 553–568.
Freund, L. B., 1993, Dynamic Fracture Mechanics, Cambridge University Press, Cambridge, UK.
Sokolnikoff, I. S., 1956, Mathematical Theory of Elasticity, McGraw-Hill, New York.
Nye, J. F., 1957, Physical Properties of Crystals, Their Representation by Tensors and Matrices, Clarendon Press, Oxford, UK.
Theocaris,  P. S., and Sokolis,  D. P., 2000, “Invariant Elastic Constants and Eigentensors of Orthorhombic, Hexagonal and Cubic Crystalline Materials,” Acta Crystallogr., 56, pp. 310–331.
Achenbach, J. D., 1973, Wave Propagation in Elastic Solids, North-Holland, Amsterdam.
Courant, R., and Hilbert, D., 1966, Methods of Mathematical Physics, Vol. I, John Wiley and Sons, New York.
Ewalds, H. L., and Wanhill, R. J. H., 1985, Fracture Mechanics, Edward Arnold, London.
Peirce, B. O., and Foster, R. M., 1956, A Short Table of Integrals, Blaisdell, Waltham, MA.
Abramowitz, M., and Stegun, I. A., 1972, Handbook of Mathematical Functions, Dover, New York.
Brace,  W. F., and Walsh,  J. B., 1962, “Some Direct Measurements of the Surface Energy of Quartz and Orthoclase,” Am. Mineral., 47, pp. 1111–1122.

Figures

Grahic Jump Location
(a) Schematic of SH-wave incident upon crack; (b) schematic of wave diffraction and crack extension
Grahic Jump Location
Schematic of integration region (y=y0=0)
Grahic Jump Location
Schematic of integration region (y=y0>0)
Grahic Jump Location
Ratio of specific fracture energies for various incident wave directions

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In