Axi-Symmetric Deformation Due to Various Sources in Saturated Porous Media with Incompressible Fluid

Subject Areas : Engineering

R Kumar ¹ , S Kumar ² , M.G Gourla ³

1 - Department of Mathematics, Kurukshetra University
2 - Department of Mathematics, Govt. Degree College Indora (Kangra), Himachal Pradesh
3 - Department of Mathematics, Himachal Pradesh University

Received: 2013-02-19 Accepted : 2013-04-08 Published : 2013-03-30

Keywords:

References:

[1] Biot MA., 1956, Theory of propagation of elastic waves in fluid saturated porous solid I-low frequency range, Journal of the Acoustical Society of America 28:168-178.

[2] Prevost JH.,1980, Mechanics of continuous porous media, International journal of Engineering Science 18:787-800.

[3] Zenkiewicz OC., Chang CT., Bettess P., Drained., 1980, Consolidating and dynamic behavior assumptions in soils, Geotechnique 30(4):385-395.

[4] Zenkiewicz OC., Shiomi T., 1984, Dynamic behavior of saturated porous media: the generalized Biot formulation and its numerical solution, International Journal of Numerical and Analytical methods in Geomechanics 8: 71-96.

[5] Gatmiri B., Kamalian M., 2002, On the fundamental solution of dynamic poroelastic boundary integral equations in the time domain, The International Journal of Geomechanics 2(4): 381-398.

[6] Gatmiri B., Nguyen KV., 2005, Time 2D fundamental solution for saturated porous media with incompressible fluid, Communications in Numerical Methods in Engineering 21:119-132.

[7] Gatmiri B., Jabbari M., 2005, Time domain Green’s functions for unsaturated soil, International Journal of Solid and Structure 42:5971-5990.

[8] Gatmiri B., Jabbari M., 2005, Time domain Green’s functions for unsaturated soil, International Journal of Solid and Structure 42:5991-6002.

[9] Gatmiri B., Maghoul P., Duhamel D., 2010, Two-dimensional transient thermo-hydro-mechanical solutions of multiphase porous media in frequency and time domain, International Journal of Solid and Structure 47:595-610.

[10] Gatmiri B., Eslami H., 2007, The scattering of harmonic waves by a circular cavity in a porous medium: complex function theory approach, International Journal of Geomechanics 7(5): 371-381.

[11] Kumar R., Singh R., Chadha TK., 2002, Axisymmetric problem in microstrectch elastic solid, Indian Journal of Mathematics 44:147-164.

[12] Kumar R., Singh R., 2005, Elastodynamics of an axisymmetric problem in microstrectch visco elastic solid, International Journal of Applied Mechanics and Engineering 10:227-244.

[13] Kaushal S., Kumar R., Miglani A., 2010, Response of frequency domain in generalized thermoelasticity with two temperature, Journal of Engineering Physics and Thermophysics 83(5): 1080-1088.

[14] Kumar R., Garg NR., Miglani A., 2003, Elastodynamics of an axisymmetric problem in an anisotropic liquid-saturated porous medium, Journal of Sound and Vibration 261:697-714.

[15] Oliveira MMF., Dumont NA., Selvadura APS., 2012, Boundary element formulation of axisymmetric problems for an elastic halfspace, Engineering Analysis with Boundary Elements, 36(10):1478-1492.

[16] Akbarob SD., Guliev MS., 2010, The influence of the finite initial strain on the axisymmetirc wave dispersion in a circular cylinder embedded in a compressible elastic medium,International Journal of Mechanical Sciences, 52(1): 89-95.

[17] Gordeliy E., Detourna E., 2011, Displacement discontinuity method for modeling axisymmetric cracks in an elastic half-space, International Journal of Solids and Structures, 48(19):2614-2629.