The unsteady influence-functions for the study of above the surface in a porous elastic half-plane object
Mathematics. Physics. Mechanics
Moscow Aviation Institute (National Research University), 4, Volokolamskoe shosse, Moscow, А-80, GSP-3, 125993, Russia
AbstractThe kinematics of perturbation in a porous elastic half-plane object is studied here. It includes two components: the deformation of the frame and the compressible fluid located in the pores. The Biot model is applied in order to get the solution. We use Fourier spatial coordinates and Laplace transform in time. The originals can be found in the case of one-direction and above the surface of the half-plane. In the latter case, algorithm is used to invert changes together of Laplace and Fourier, which are based on the construction of analytical representations of the images.
Keywords:biot model; surface influence application, Laplace and Fourier integral transformation of the Laplace and Fourier transforms, elastic-porous materials.