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, Российская Федерация
  • Seleznev M.G. Rostov State Building University, Rostov-on-Don, Российская Федерация

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 Infos

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

2006. No. 2

Section

Mechanics

Pages

37-39

Submitted

2006-04-28

Published

2006-06-29

How to Cite

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, no. 2, pp. 37-39. (In Russian)

Copyright (c) 2006 Lyapin A.A., Seleznev M.G.

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