The dynamic theory of reciprocity and fundamental solutions for poroelastic environments

Authors

  • Vatulyan A.O. Southern Federal University, Rostov-on-Don, Russian Federation
  • Lyapin A.A. Southern Federal University, Rostov-on-Don, Russian Federation

UDC

534.134

EDN

NDRXPD

Abstract

The paper deals with the stages of the solving method for boundary problems of steady harmonic vibrations of poroelastic finite body or poroelastic layered medium with arbitrary shaped cavities or inclusions based on the method of boundary integral equations. The paper also presents a derivation of the dynamic reciprocity theory and constructed fundamental solutions for poroelastic medium.

Keywords:

poroelastic, theorem of reciprocity, fundamental decisions

Funding information

Работа выполнена при частичной поддержке РФФИ (10-01-00194-а), ФЦП "Научные и научно-педагогические кадры инновационной России" на 2009-2013 гг. (П596) и Южного математического института, г. Владикавказ.

Authors info

  • Aleksandr O. Vatulyan

    д-р физ.-мат. наук, профессор, заведующий кафедрой теории упругости Южного федерального университета

  • Aleksandr A. Lyapin

    аспирант кафедры теории упругости Южного федерального университета

References

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  3. Krauklis P.V. New guided wave in a poroacoustic layer proceedings. International Seminar, Day on Diffraction. 1999. P. 113-117.
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  5. Губайдуллин А.А., Болдырева О.Ю. Распространение волн вдоль границы насыщенной пористой среды и жидкости // Акустический журнал. 2006. Т. 52. №2. С. 201-211.
  6. Jian-Fei Lu, Dong-Sheng Jeng. A half-space saturated poro-elastic medium subjected to a moving point load // International Journal of Solids and Structures. 2007. Vol. 44. P. 573-586.
  7. Yuanqiang Cai, Honglei Sun, Changjie Xu. Steady state responses of poroelastic half-space soil medium to a moving rectangular load // International Journal of Solids and Structures. 2007. Vol. 44. P. 7183-7196.
  8. Новацкий В. Теория упругости. М.: Мир, 1975. С. 646-657.

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Issue

Pages

23-28

Section

Article

Dates

Submitted

December 4, 2010

Accepted

December 11, 2010

Published

December 27, 2010

How to Cite

[1]
Vatulyan, A.O., Lyapin, A.A., The dynamic theory of reciprocity and fundamental solutions for poroelastic environments. Ecological Bulletin of Research Centers of the Black Sea Economic Cooperation, 2010, № 4, pp. 23–28.

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