Summary
An unbounded, transversely isotropic elastic solid whose elastic constants obey the constraint (c 11–c 44) (c 33–c 44)=(c 13+c 44)2 is excited by a suddenly applied moving dislocation. Explicit expressions are obtained for the plane stress field induced by the (constant speed) dislocation moving parallel to the material symmetry axis. The speed of the dislocation may be sub-, tran-, or super-sonic with respect to the material wave speeds. An unexpected result is the existence of a special dislocation speed, in the transonic range, which causes the Mach head wave to be annihilated.
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References
Nabarro, R. F. N. (ed.): Dislocations in solids, Vol. 3: Moving dislocations, Amsterdam: North Holland 1981.
Mura, T.: Micromechanics of defects in solids. The Hague: Martinus Nijhoff Publ. 1982.
Payton, R. G.: Transient stresses in a transversely isotropic elastic solid caused by a moving dislocation. Z. Angew. Math. Phys.36, 191–203 (1985).
Payton, R. G.: Green's tensor for a constrained transversely isotropic solid. Q. Jl. Mech. appl. Math.28, 473–481 (1975).
Whitham, G. B.: Linear and nonlinear waves. New York: John Wiley and Sons 1973.
Burridge, R., Knopoff, L.: Body force equivalents for seismisc dislocations. Bull. Seis. Soc. Amer.54, 1875–1888 (1964).
Payton, R. G.: Elastic wave propagation in transversely isotropic media. The Hauge: Martinus Nijhoff Publ. 1983.
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Payton, R.G. Stresses in a constrained transversely isotropic elastic solid caused by a moving dislocation. Acta Mechanica 74, 35–49 (1988). https://doi.org/10.1007/BF01194340
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DOI: https://doi.org/10.1007/BF01194340