To the construction of solutions of dynamic problems for layered media with irregular structure

Authors

  • Lyapin A.A. Rostov Military Institute of Missile Forces, Rostov-on-Don, Russian Federation
  • Seleznev M.G. Rostov State Building University, Rostov-on-Don, Russian Federation

UDC

539.3

Abstract

The approach proposed makes it possible to construct solutions for stationary problems of dynamic theory of elasticity for layered media containing thickness-variable layers, local inclusions or cavities. The construction is based on basic relationships of the method of boundary integral equations that use special types of elementary solutions for different components of a layered medium. Though these types of geophysical structures are widely spread in real practice, the process of mathematical modeling of vibrations generation and propagation in them has been poorly studied.

Author info

  • Aleksandr A. Lyapin

    д-р физ.-мат. наук, профессор кафедры высшей математики Ростовского военного института ракетных войск

  • Mikhail G. Seleznev

    д-р физ.-мат. наук, профессор, заведующий кафедрой информационных систем в строительстве Ростовского государственного строительного университета

References

  1. Ворович И.И., Бабешко В.А. Динамические смешанные задачи теории упругости для неклассических областей. М.: Наука, 1989. 320 с.
  2. Бенерджи П., Баттерфилд Р. Методы граничных элементов в прикладных науках. М.: Мир, 1984. 494 с.
  3. Ляпин А.А., Селезнев М.Г., Собисевич Л.Е., Собисевич А.Л. Механико-математические модели в задачах активной сейсмологии. М.: ГНИЦ ПГК(МФ) при КубГУ, 1999. 294 с.

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Issue

Pages

37-39

Section

Mechanics

Dates

Submitted

April 28, 2006

Accepted

May 28, 2006

Published

June 29, 2006

How to Cite

[1]
Lyapin, A.A., Seleznev, M.G., To the construction of solutions of dynamic problems for layered media with irregular structure. Ecological Bulletin of Research Centers of the Black Sea Economic Cooperation, 2006, № 2, pp. 37–39.