Abstract
In this paper we consider the propagation of Lamb waves in a poroelastic plate containing a linear crack, the special case where the surface of the plate is unloaded, by employing the Wiener-Hopf technique. The problem we solve here is a mathematically interesting toy problem. Physically speaking the more reasonable problem would be to consider there to be fluid pressure on both sides of the plate. This problem can be solved using the solution we derive here and will be presented in a subsequent work. Also dealt in this paper are the characteristic equations for a viscous fluid Biot systems and the orthogonality relations for a free boundary poroelastic slab.
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