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The Quarterly Journal of Mechanics and Applied Mathematics 1982 35(2):173-181; doi:10.1093/qjmam/35.2.173
© 1982 by Oxford University Press
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ON THE HEAD WAVE ENVELOPE IN A HALF-SPACE OF ARBITRARY ELASTIC ANISOTROPY

M. J. P. MUSGRAVE and R. G. PAYTON

( Depariment of Mathematics, Imperial College London
Depamnent of Mathematics and Computer Science, Adelphi University Garden City, NY., U.S.A. )

Two complementary derivations, one in terms of slowness, one in terms of phase velocity, leading to dual forms of parametric equations for the general head wave envelope, occasioned by a point source of loading on an elastic half-space of arbitnry anistropy, are presented.

The two sets of equations are shown to be consistent and the special case of isotropy is used to verify the alternative formulations.


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