Dynamic Response of Poroelastic Half-Plane Under Surface Moving Excitations

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  • Dynamic Response of Poroelastic Half Pl

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On the basis of Biot's dynamical theory of poroelasticity, the disturbances produced by an impulsive line load applied normal to the surface and impulsive shearing stress in a porous elastic half-space are studied. Three cases are considered; (a) Subsonic Case. (b) Supersonic Case. (c) Transonic Case. Laplace-Fourier transform is utilized for solving displacement and stress potentials in teams of which the displacements and stresses in the interior of the half-space are obtained by Cagniard's technique. In each case, the closed-from solutions for displacements and stresses are obtained. The displacements and stresses are expressed in terms of six algebraic terms; three of which are identified as the disturbances due to the specific wave fronts and the others represent the head wave contributions. Fatt's values for poroelastic parameters are utilized in the numerical calculations for Subsonic Case only. From these numerical results, comparisons are made to the disturbances produced in the classical elastic material.

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