Vertical vibrations of a rigid disk embedded in a poroelastic medium

International Journal for Numerical and Analytical Methods in Geomechanics

Volumn 23, Issue 15, 1999, Pages 2075-2095

  Zeng, X ^a   Rajapakse, R K N D ^a  

^a UNIVERSITY OF MANITOBA   (Canada)

Author keywords

Anchors; Dynamic soil structure interaction; Foundations; Impedance; Poroelasticity; Vibrations

Indexed keywords

BOUNDARY CONDITIONS; DISKS (STRUCTURAL COMPONENTS); ELASTICITY; FOUNDATIONS; FUNCTIONS; INTEGRAL EQUATIONS; PORE PRESSURE; POROSITY; VIBRATIONS (MECHANICAL);

POROELASTICITY;

SOIL STRUCTURE INTERACTIONS;

ANCHOR; FOUNDATION; POROELASTICITY; SOIL DYNAMICS; SOIL-STRUCTURE INTERACTION; VIBRATION;

EID: 0033604806     PISSN: 03639061     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1096-9853(19991225)23:15<2075::AID-NAG50>3.0.CO;2-P     Document Type: Article

References (24)

1. M. A. Biot, 'General theory of three-dimensional consolidation', J. Appl. Phys., 12, 155-164 (1941).
2. M. A. Biot, 'Theory of propagation of elastic waves in a fluid-saturated porous solid: I. Low-frequency range; II. High-frequency range', J. Acoust. Soc. Am., 28, 168-191 (1956).
3. T. Senjuntichai and R. K. N. D. Rajapakse, 'Dynamic Green's functions of homogeneous poroelastic half-plane', J. Engng. Mech. ASCE, 120, 2381-2404 (1994).
4. D. E. Beskos, 'Boundary element methods in dynamic analysis: part II (1986-1996)', Appl. Mech. Rev., 50, 149-197 (1997).
5. A. J. Philippacopoulos, 'Buried point source in a poroelastic half-space', J. Engng. Mech. ASCE, 123, 860-869 (1997).
6. A. P. S. Selvadurai, Elastic Analysis of Soil-Foundation Interaction, Elsevier Scientific Publishing Co, Amsterdam, 1979.
7. M. R. Halpern and P. Christiano, 'Response of poroelastic half-space to steady-state harmonic surface tractions', Int. J. Numer. Anal. Meth. Geomech., 10, 609-632 (1986).
8. M. R. Halpern and P. Christiano, 'Steady-state harmonic response of a rigid plate baring on a liquid-saturated poroelastic half-space', Earthquake Engng. Struct. Dyn., 14, 439-454 (1986).
9. A. J. Philippacopoulos, 'Lamb's problem for fluid-saturated porous media', Bull. Seism, Soc. Am., 78, 908-923 (1988).
10. A. J. Philippacopoulos, 'Axisymmetric vibration of disk resting on saturated layered half-space', J. Engng. Mech. ASCE, 115, 2301-2322 (1989).
11. M. K. Kassir and J. Xu, 'Interaction functions of a rigid strip bonded to saturated elastic half-space', Int. J. Solid Struct., 24, 915-936 (1988).
12. M. K. Kassir, K. K. Bandyopadhyay and J. Xu, 'Vertical vibration of a circular footing on a saturated half-space', Int. J. Engng. Sci., 27, 353-361 (1989).
13. S. Bougacha, J. L. Tassoulas and J. M. Roesset, 'Analysis of foundations on fluid-filled poroelastic stratum', J. Engng. Mech. ASCE, 119, 1632-1648 (1993).
14. S. Bougacha, J. M. Roesset and J. L. Tassoulas, 'Dynamic stiffness of foundations on fluid-filled poroelastic stratum', J. Engng. Mech. ASCE, 119, 1649-1662 (1993).
15. T. Senjuntichai and R. K. N. D. Rajapakse, 'Dynamics of a rigid strip bonded to a multilayered poroelastic half-plane', in A. P. S. Selvadurai (ed.), Mechanics of Poroelastic Media, Kluwer Dordrecht, Netherlands, 1996.
16. I. N. Sneddon, Fourier Transforms, McGraw-Hill, New York, 1951.
17. M. A. Biot, 'Mechanics of deformation and acoustic propagation in porous media', J. Appl. Phys., 33, 1482-1498 (1962).
18. P. Karasudhi, Foundation of Solid Mechanics, Kluwer Academic Publishers, Dordrecht, The Netherlands, 1990.
19. J. E. Luco and R. A. Westmann, 'Dynamic response of a rigid footing bonded to an elastic half-space', J. Appl. Mech. ASME, 39, 527-534 (1972).
20. J. E. Luco and R. A. Westmann, 'Dynamic response of circular footings', J. Engng. Mech. ASCE, 95, 1381-1394 (1971).
21. J. Lysmer and F. E. Jr. Richart, 'Dynamic response of footings to vertical loading', J. Soil Mech. Found. Div. Proc. ASCE92 (SM1), 65-91 (1966).
22. R. K. N. D. Rajapakse and Y. Wang, 'Green's functions of transversely isotropic elastic half space', J. Engng. Mech. ASCE, 119, 1724-1746 (1993).
23. R. Piessens, E. De Doncker-Kapenga, C. W. Uberhuber and D. K. Kahaner, QU ADPACK, A Subroutine Package for Automatic Integration, Springer, Berlin, 1983.
24. R. Y. S Park and A. T. Gobert, 'Forced vertical vibrations of rigid disks with arbitrary embedment', J. Engng. Mech. ASCE, 117, 2527-2548 (1991).