Elastodynamics response of expanding surface loads in a fluid saturated porous medium

• Autorzy: Kumar R. , Kumar S. , Miglani A.
• Języki publikacji: EN

Abstrakty

EN

The present investigation is concerned with axi-symmetric deformation in a fluid saturated incompressible porous medium whose surface is subject to loads that suddenly emanate from a point on the surface and expand radially at constant rate. The cases of loads shaped as a ring and disc are considered in detail. These loads are chosen so that they exert a constant force on the surface as they expand. Laplace and Hankel transform techniques are used to solve the problem. The integral transforms are inverted by using a numerical inversion technique to obtain the components of stresses and pore pressure in the physical domain. The results concerning these quantities are given and illustrated graphically to depict the effect of pore pressure. A particular case of interest deduced from the present investigation.

Słowa kluczowe

EN

axi-symmetric deformation; ring load; disc load; pore pressure; Laplace and Hankel transforms

PL

obciążenie dysku; ciśnienie porowe; transformacja Hankela i Laplace'a

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mechanics and Engineering
• Rocznik: 2011
• Tom: Vol. 16, no 1
• Strony: 57--67
• Opis fizyczny: Bibliogr. 16 poz., wykr.

Twórcy

autor

Kumar R.

autor

Kumar S.

autor

Miglani A.

• Department of Mathematics, Kurukshetra University Kurukshetra, Haryana, INDIA,

Bibliografia

• Biot M.A. (1941): General theory of three dimensional consolidation. - J. Appl. Phys., vol.12, No.2, pp.155-161.
• Bowen R.M. (1980): Incompressible porous media models by use of the theory of mixtures. - J. Int. J. Engg. Sci., vol.18, pp.1129-1148.
• de Boer R. (2000: Theory of Porous Media. - New York: Springer-Verleg.
• de Boer R. and Ehlers W. (1988): A historical review of the formulation of porous media theories. - Acta Mechanics, vol.74, pp.1-8.
• de Boer R. and Ehlers W. (1990a): The development of the concept of effective stress. - Acta Mechanica, vol.83, pp.77-92.
• de Boer R. and Ehlers W.(1990b): Uplift, friction and capillarity - three fundamental effects for liquid-saturated porous solids. - Int. 1. Solid Structures, vol.26, pp.43-57.
• de Boer R. et al (1993): One dimensional transient wave propagation in fluid saturated incompressible porous media. - Arch. App. Mech., vol.63, pp.59-72.
• Fillunger P. (1913): Der auftrieb in talsperren. Osterr. Wochenschrift fur den offentl. Baudienst. - I. Teil532-552, II. Teil 552-556, III. Teil 567-570.
• Kumar R. and Deswal S. (2007): Axisymmetric problem in a generalized micropolar thermoelastic half space. - Int. J. App. Mech. And Engg., vol.12, No.2, pp.413-429.
• Kumar R. and Hundal B.S. (2002): A study of spherical and cylindrical wave propagation in a non-homogenous fluid saturated incompressible porous medium by the method of characteristics. Currents trends in industrial and applied mathematics. - Edited By P. Manchanda Et. Al. Anamya Publisher, New Delhi, pp.181-194.
• Kumar R. and Hundal B.S. (2003a): Wave propagation in a fluid saturated incompressible porous medium. - Indian J. Pure and Applied Math., vol.4, pp.51-65.
• Kumar R. and Hundal B.S. (2003b): One dimensional wave propagation in a non homogenous fluid saturated incompressible porous medium. - Bull. Allahabad Math Soc., vol.18, pp.1-13.
• Kumar R. and Hundal B.S. (2004): Effect of non homogeneity on one-dimensional wave propagation in a fluid saturated incompressible porous medium. - Bull .Cal. Math. Soc., vol.96, No.3, pp.179-188.
• Kumar R. and Hundal B.S. (2005): Symmetric wave propagation in a fluid saturated incompressible porous medium. - Journal of Sound and Vibration, vol.288, pp.361-373.
• Von Terzaghi K. (1923): Die berechnug der durchlassigkeit des tones aus dem verlauf der hydromechanischen spannungserscheinungen. sitzungsber Akad. Wiss. (Wien), Math. - Naturwiss. K., Abt. IIa 132, pp.125- 138.
• Von Terzaghi K. (1925): Erdbaumechanik auf Bodenphysikalischer Grundlage. p.399. Leipzig - Wien: Franz Deuticke.