AbstractThe two‐dimensional response of a viscoelastic half‐space containing a buried, unlined, infinitely long cylindrical cavity of circular cross‐section subjected to harmonic plane SH, P, SV and Rayleigh waves is obtained by an indirect boundary integral method based on the two‐dimensional Green's functions for a viscoelastic half‐space. An extensive critical review of the existing numerical results obtained by other techniques is presented together with some new numerical results describing the motion on the ground surface and the motion and stresses on the wall of the cavity for P, SV, SH and Rayle
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