Mathematical model of interaction of elastic waves L - and Sv - polarization of normal falling with in-homogeneously deformed layer

Fìz.-mat. model. ìnf. tehnol. 2018, 27:70-79

Authors

  • Oksana Kravchyshyn Pidstryhach Institute for Applied Problems of Mechanics and Mathematics National Academy of Sciences of Ukraine

DOI:

https://doi.org/10.15407/fmmit2018.27.070

Keywords:

elastic waves in heterogeneously deformed environments, processes of reflection / refraction of waves, iterative method

Abstract

Within the framework of previously developed mathematical model of small elastic perturbations propagation in non-homogeneously strained elastic continuum a stationary problem for interaction of ultrasonic waves L - or Sv - polarization of normal falling with an elastic layer under plane deformation, which two elastic half-space is separated, has been formulated. The iterative procedure for its solution is built. With use the approximation of geometric optics the influence of non-uniform strains on the coefficients of reflected and refracted waves of different polarization has been studied.

References
  1. Chekurin, V. F., Kravchyshyn, O. Z. (2008). Pruzhni zburennia v neodnoridno deformovanykh tverdykh tilakh. Lviv: SPOLOM”.
  2. Kravchyshyn, O. Z, Chekurin, V. F. (2013). Vzaiemodiia ultrazvukovoi khvyli SH - poliaryzatsii z dvovymirnym polem deformatsii u ploskomu shari. Mat. metody ta fiz.–mekh. polia, 56(2), 203 - 211.
    https://doi.org/10.1007/s10958-014-2105-7
  3. Kravchyshyn, O. Z., Chekurin, V. F. (2014). Prokhodzhennia ultrazvukovoi khvyli SH- poliaryzatsii kriz neodnoridno deformovanyi pruzhnyi shar. Prykl. problemy mekh. i mat., 12, 97-103.
  4. Chekurin, V. F., Kravchyshyn, O. Z. (2015). Matematychna model vzaiemodii pruzhnykh khvyl L- ta Sv- poliaryzatsii iz neodnoridno deformovanym sharom. Fizyko-matematychne modeliuvannia ta informatsiini tekhnolohii, 22(2), 133 - 141.

Published

2019-04-24

How to Cite

Kravchyshyn, O. (2019). Mathematical model of interaction of elastic waves L - and Sv - polarization of normal falling with in-homogeneously deformed layer: Fìz.-mat. model. ìnf. tehnol. 2018, 27:70-79. PHYSICO-MATHEMATICAL MODELLING AND INFORMATIONAL TECHNOLOGIES, (27), 70–79. https://doi.org/10.15407/fmmit2018.27.070