On One Dynamic Problem for a Multilayer Half-Space with Initial Stresses*

The influence of initial stresses and surface load velocity on the roots of the characteristic equations that correspond to the equations of motion of compressible and incompressible elements of a layered half-space is studied. The possible values of the roots of characteristic equations are estimated. The necessary and sufficient conditions for the existence of multiple roots of the characteristic equation are obtained. The numerical study is carried out for materials with a harmonic elastic potential and Bartenev–Khazanovich potential.

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Correspondence to Yu. P. Glukhov.

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Translated from Prikladnaya Mekhanika, Vol. 57, No. 1, pp. 54–63, January–February 2021.

* This study was sponsored by the budget program “Support for Priority Areas of Scientific Research” (KPKVK 6541230).

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Babych, S.Y., Glukhov, Y.P. On One Dynamic Problem for a Multilayer Half-Space with Initial Stresses*. Int Appl Mech 57, 43–52 (2021). https://doi.org/10.1007/s10778-021-01061-x

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Keywords

  • multilayered half-space
  • initial (residual) stresses
  • moving load
  • characteristic equations