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Journal of Mathematical Sciences

, Volume 203, Issue 2, pp 202–214 | Cite as

Elastic Half Plane Under the Action of Nonstationary Surface Kinematic Perturbations

  • V. A. Vestyak
  • A. R. Hachkevych
  • D. V. Tarlakovskii
  • R. F. Terletskii
Article
  • 18 Downloads

A homogeneous isotropic elastic half plane with nonstationary normal displacements on the boundary is considered. With the use of the Laplace and Fourier integral transformations, we propose integral representations for displacements with kernels in the form of surface influence functions. The originals are computed by using an algorithm of joint inversion of these transformations based on the construction of analytic extensions of the transforms. The explicit form of the influence functions is obtained. Some examples of their evaluation are presented.

Keywords

Half Plane Elastic Half Space Influence Function Joint Inversion Ukrainian National Academy 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 2014

Authors and Affiliations

  • V. A. Vestyak
    • 1
  • A. R. Hachkevych
    • 2
  • D. V. Tarlakovskii
    • 1
  • R. F. Terletskii
    • 2
  1. 1.Moscow Aircraft Institute (National Research University)MoscowRussia
  2. 2.Pidstryhach Institute for Applied Problems in Mechanics and MathematicsUkrainian National Academy of SciencesLvivUkraine

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