Vertical dynamic response of a disk on a saturated poroelastic half-space

Soil Dynamics and Earthquake Engineering

Volumn 18, Issue 6, 1999, Pages 437-443

  Bo, Jin ^a   Hua, Liu ^a  

^a TONGJI UNIVERSITY   (China)

Author keywords

Dynamic compliance; Fredholm integral equation of the second kind; Poroelastic half space; Rigid disk

Indexed keywords

BOUNDARY VALUE PROBLEMS; DYNAMIC RESPONSE; ELASTICITY; EQUATIONS OF MOTION; INTEGRAL EQUATIONS; INTERFACES (MATERIALS); MATHEMATICAL MODELS; MATHEMATICAL TRANSFORMATIONS; PLATES (STRUCTURAL COMPONENTS); POROSITY; STRUCTURAL ANALYSIS; VIBRATIONS (MECHANICAL);

ABEL TRANSFORM; FREDHOLM INTEGRAL EQUATIONS; HANKEL TRANSFORM;

DISKS (STRUCTURAL COMPONENTS);

DYNAMIC RESPONSE; HALF SPACE; POROELASTICITY; SATURATED MEDIUM;

EID: 0032766598     PISSN: 02677261     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0267-7261(99)00013-5     Document Type: Article

References (22)

1. Biot M.A. Theory of propagation of elastic waves in a fluid-saturated porous solid. 1. Low-frequency range. J Acoust Soc Am. 28:(2):1956;168-178.
2. Biot M.A. Mechanics of deformation and acoustic propagation in porous media. J Appl Phys. 33:(4):1962;1482-1498.
3. Bonnet G. Basic singular solutions for a poroelastic medium in the dynamic range. J Acoust Soc Am. 82:(5):1987;1758-1762.
4. Boutin C., Bonnet G., Bard P.Y. Green functions and associated sources in infinite and stratified poroelastic media. Geophys J Roy Astronom Soc, London. 90:1987;521-550.
5. Manolis G., Beskos D.E. Integral formulation and fundamental solutions of dynamic poroelasticity and thermoelasticity. Acta Mech. 76:1989;89-104.
6. Manolis G., Beskos D.E. Acta Mech. 83:1990;223-226. errata.
7. Dominguez J. An integral formulation for dynamic poroelasticity. J Appl Mech ASME. 58:(2):1991;588-591.
8. Paul S. On the displacement produced in a porous elastic half-space by an impulsive line load (non-dissipative). Pure Appl Geophys. 114:1976;605-614.
9. Paul S. On the disturbance produced in a semi-infinite poroelastic medium by a surface load. Pure Appl Geophys. 114:1976;615-627.
10. Halpern M.R., Christiano P. Response of poroelastic halfspace to steady-state harmonic surface tractions. Int J Numer Anal Meth Geomech. 10:(6):1986;609-632.
11. Philippacopoulos A.J. Lamb's problem for fluid-saturated porous media. Bull Seism Soc Am. 78:(2):1988;908-923.
12. Senjuntichai T., Rajapakse R.K.N.D. Dynamic Green's functions of homogeneous poroelastic half-plane. J Engng Mech ASCE. 120:(11):1994;2381-2404.
13. Halpern M.R., Christiano P. Steady state harmonic response of a rigid plate baring on a liquid-saturated poroelastic halfspace. Earthquake Engng Struct Dynam. 14:(3):1986;439-454.
14. Philippacopoulos A.J. Axisymmetric vibration of disk resting on saturated layered half-space. J Engng Mech ASCE. 115:(10):1989;2301-2322.
15. Bougacha S., Tassoulas J.L., Roesset J.M. Analysis of foundations on fluid-saturated poroelastic stratum. J Engng Mech ASCE. 119:(8):1993;1632-1648.
16. Rajapakse R.K.N.D., Senjuntichai T. Dynamic response of a multi-layered poroelastic medium. Earthquake Engng Struct Dynam. 24:(15):1995;703-722.
17. Cheng A.H.D., Badmus T., Beskos D.E. Integral equation for dynamic poroelasticity in frequency domain with BEM solution. J Engng Mech ASCE. 117:(5):1991;1136-1157.
18. Kupradze V.D., Gezelia T.G., Basheleishvili M.O., Burchuladze T.V. Three-dimensional problems of the mathematical theory of elasticity and thermoelasticity. 1979;North-Holland, Amsterdam.
19. Nowacki W. Dynamic problems of thermoelasticity. 1975;Noordhoff, Leiden.
20. Gladwell G.M.L. Contact problems in the theory of elasticity. 1980;Sijthoff and Noordhoff, Alphen aan den Rijn.
21. Sneddon I.N. The use of integral transforms. 1972;McGraw-Hill, New York, NY.
22. Dargush G.F., Chopra M.B. Dynamic analysis of axisymmetric foundations on poroelastic media. J Engng Mech ASCE. 122:(7):1996;623-632.