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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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