GREEN TENSOR OF MOTION EQUATIONS OF TWO COMPONENTS BIOT’S MEDIUM BY STATIONARY VIBRATIONS

Авторы

  • Alexeyeva L.A.
  • Kurmanov E.B.

Ключевые слова:

Biot’s medium, solid and liquid components, fundamental solution, generalized direct and inverse Fourier transform, regularization.

Аннотация

Here processes of wave propagation in a two-component Biot’s medium are considered which are
generated by periodic forces actions. By use Fourier transformation of generalized functions, the Green tensor - a
fundamental solutions of oscillation equations of this medium has been constructed. This tensor describes the process
of propagation of harmonic waves of a fixed frequency in spaces of dimension N = 1,2,3 under the action of power
sources concentrated at the coordinates origin, described by a singular delta -function. Based on it, generalized
solutions of these equations are constructed under the action of various sources of periodic perturbations, which are
described by both regular and singular generalized functions. For regular acting forces, integral representations of
solutions are given that can be used to calculate the stress-strain state of a porous water-saturated medium

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Опубликован

2019-02-04