Dynamic response of a poroelastic half-space to tangential surface loading (Q5935633)

The classical Biot theory allows to reduce the title problem to partial differential equations expressed in terms of displacement of solid matrix and the pore-fluid pressure. These equations were solved in the previous authors' work [Int. J. Solids Struct. 38, No.~44-45, 8053-8064 (2001; Zbl 1037.74025)] under axisymmetric conditions by using the integral transform technique. Here the authors solve the equations under asymmetric conditions. The presented solution method could be useful in a variety of asymmetric wave propagation problems for poroelastic media.