Asymmetric wave propagation in a transversely isotropic half-space in displacement potentials

Lamb, 1904, On the propagation tremors over the surface of an elastic solid, Philosophical Transactions of the Royal Society (London) A, 1, 10.1098/rsta.1904.0013 Achenbach, 1973 Aki, 1980 Pak, 1987, Asymmetric wave propagation in an elastic half-space by a method of potentials, ASME Journal of Applied Mechanics, 54, 121, 10.1115/1.3172945 Pak, 2002, Three-dimensional green’s functions for a multilayered half-space in displacement potentials, Journal of Engineering Mechanics, ASCE, 128, 449, 10.1061/(ASCE)0733-9399(2002)128:4(449) Stoneley, 1949, The seismological implications of aeolotropy in continental structures, Royal Astronomical Society Monthly Notices, Geophysical Supplement, London, England, 5, 343 Synge, 1957, Elastic waves in anisotropic media, Journal of Mathematics and Physics, 35, 323 Buchwald, 1961, Rayleigh waves in transversely isotropic media, Quarterly Journal of Mechanics and Applied Mathematics, 14, 293, 10.1093/qjmam/14.3.293 Payton, 1983 Rajapakse, 1993, Green’s functions for transversely isotropic elastic half space, Journal of Engineering Mechanics, ASCE, 119, 1724, 10.1061/(ASCE)0733-9399(1993)119:9(1724) Eskandari-Ghadi, 2005, A complete solution of the wave equations for transversely isotropic media, Journal of Elasticity, 81, 1, 10.1007/s10659-005-9000-x Rahimian, 2007, Elastodynamic potential method for transversely isotropic solid, Journal of Engineering Mechanics, ASCE, 133, 1134, 10.1061/(ASCE)0733-9399(2007)133:10(1134) S.G. Lekhnitskii, Theory of Elasticity of an Anisotropic Elastic Body, Holden Day, San Francisco, 1963. Sneddon, 1951 Sneddon, 1972 Erdelyi, 1954, vol. 2 Pan, 1976, Point force solution for an infinite transversely isotropic solid, ASME Journal of Applied Mechanics, 43, 608, 10.1115/1.3423941 Ding, 1997, The united point force solution for both isotropic and transversely isotropic media, Communications in Numerical Methods in Engineering, 13, 95, 10.1002/(SICI)1099-0887(199702)13:2<95::AID-CNM35>3.0.CO;2-F Apsel, 1983, On the Green’s functions for a layered half space part II, Bulletin of the Seismological Society of America, 73, 931, 10.1785/BSSA0730040931 Churchill, 1974 Fedorov, 1968 Padovani, 2002, Strong ellipticity of transversely isotropic elasticity tensors, Meccanica, 37, 515, 10.1023/A:1020946506754 Merodio, 2003, A note on strong ellipticity for transversely isotropic linearly elastic solids, Quarterly Journal of Mechanics and Applied Mathematics, 56, 589, 10.1093/qjmam/56.4.589