Dynamic analysis of axisymmetric foundations on poroelastic media

Journal of Engineering Mechanics

Volumn 122, Issue 7, 1996, Pages 623-632

  Dargush, Gary F ^a   Chopra, Manoj B ^b,c  

^a UNIVERSITY AT BUFFALO   (United States)

^b University of Central Florida   (United States)

^c ASCE ^*

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY ELEMENT METHOD; DYNAMIC ANALYSIS; FOUNDATION; POROELASTICITY;

EID: 0030422682     PISSN: 07339399     EISSN: None     Source Type: Journal    
DOI: 10.1061/(ASCE)0733-9399(1996)122:7(623)     Document Type: Article

References (36)

1. Achenbach, J. D. (1973). Wave propagation in elastic solids. North-Holland Publishing Co., Amsterdam, The Netherlands.
2. Ahmad, S., and Banerjee, P. K. (1988). "Multi-domain BEM for two-dimensional problems of elastodynamics." Int. J. Numer. Methods in Engrg., 26, 891-911.
3. Auriault, J. L., Borne, L., and Chambon, R. (1985). "Dynamics of porous saturated media; checking of the generalized law of Darcy." J. Acoustic Soc. Am., 77, 1641-1650.
4. Badmus, T., Cheng, A. H-D., and Grilli, S. (1993). "A Laplace transform based three-dimensional BEM for poroelasticity." Int. J. Numer. Methods in Engrg., 36, 67-85.
5. Banerjee, P. K., and Butterfield, R. (1981). Boundary element methods in engineering science. McGraw-Hill Book Co., Inc., London, England.
6. Banerjee, P. K. (1994). The boundary element methods in engineering. McGraw-Hill Book Co., Inc., London, England.
7. Biot, M. A. (1941). "General theory of three-dimensional consolidation." J. Appl. Physics, 12, 155-164.
8. Biot, M. A. (1956a). "The theory of propagation of elastic waves in a fluid-saturated porous solid. I: Low frequency range." J. Acoustic Soc. Am., 28, 168-178.
9. Biot, M. A. (1956b). "The theory of propagation of elastic waves in a fluid-saturated porous solid. II: Higher frequency range." J. Acoustic Soc. Am., 28, 179-191.
10. Biot, M. A. (1962). "Generalized theory of acoustic propagation in porous dissipative media." J. Acoustic Soc. Am., 34, 1254-1264.
11. Bonnet, G. (1987). "Basic singular solutions for a poroelastic medium in the dynamic range." J. Acoustic Soc. Am., 82, 1758-1762.
12. Bougacha, S., Tassoulas, J. L., and Roesset, J. M. (1993a). "Analysis of foundations on fluid-filled poroelastic stratum." J. Engrg. Mech., ASCE, 119, 1632-1648.
13. Bougacha, S., Roesset, J. M., and Tassoulas, J. L. (1993b). "Dynamic stiffness of foundations on fluid-filled poroelastic stratum." J. Engrg. Mech., ASCE, 119, 1649-1662.
14. Boutin, C., Bonnet, G., and Bard, P. Y. (1987). "Green functions and associated sources in infinite and stratified poroelastic media. Geophys. J. R. Astr. Soc., 90, 521-550.
15. Bowen, R. M. (1982). "Compressional porous media models by use of the theory of mixtures." Int. J. Engrg. Sci., 20, 697-735.
16. Burridge, R., and Keller, J. B. (1981). "Poroelasticity equations derived from microstructure." J. Acoustic Soc. Am., 10, 1140-1146.
17. Chen, J., and Dargush, G. F. (1995). "Boundary element method for dynamic poroelastic and thermoelastic analyses." Int. J. Solids and Struct., 32, 2257-2278.
18. Cheng, A. H-D., and Liggett, J. A. (1984). "Boundary integral equation method for linear porous elasticity with applications to soil consolidation." Int. J. Numer. Methods in Engrg., 20, 255-278.
19. Cheng, A. H-D., Badmus, T., and Beskos, D. E. (1991). "Integral equation for dynamic poroelasticity in frequency domain with BEM solution." J. Engrg. Mech., ASCE, 117, 1136-1157.
20. Cleary, M. P. (1977). "Fundamental solutions for a fluid-saturated porous solid." Int. J. Solids and Struct., 13, 785-806.
21. Dargush, G. F., and Banerjee, P. K. (1989). "A time domain boundary element method for poroelasticity." Int. J. Numer. Methods in Engrg 28, 2423-2449.
22. Dargush, G. F., and Banerjee, P. K. (1991). "A boundary element method for axisymmetric soil consolidation." Int. J. Solids and Struct., 28, 897-915.
23. Dominguez, J. (1992). "Boundary element approach for dynamic poroelastic problems." Int. J. Numer. Methods in Engrg., 35, 307-324.
24. GPBEST user manual. (1995). Boundary Element Software Technol. Corp., Getzville, N.Y.
25. Luco, J. E., and Westmann, R. A. (1971). "Dynamic response of circular footings." J. Engrg. Mech. Div., ASCE, 97(5), 1381-1395.
26. Makris, N., Dargush, G. F., and Constantinou, M. C. (1993). "Dynamic analysis of generalized viscoelastic fluids." J. Engrg. Mech., ASCE, 119, 1663-1679.
27. Makris, N., Dargush, G. F., and Constantinou, M. C. (1995). "Dynamic analysis of viscoelastic-fluid dampers." J. Engrg. Mech., ASCE, 121(10), 1114-1121.
28. Nishimura, N., and Kobayashi, S. (1989). "A boundary integral equation method for consolidation problems." Int. J. Solids and Struct., 25, 1-21.
29. Nowacki, W. (1964). "Green functions for the thermoelastic medium II." Bull. Acad. Polon., Ser. Sci. Techn., 12, 465-472.
30. Nowacki, W. (1966). "Green's functions for a thermoelastic medium (Quasi-static problem)." Bull. Inst. Polit. Jasi, Sierie Noua, 12, 83-92.
31. Predeleanu, M. (1984). "Development of boundary element method to dynamic problems for porous media." Appl. Math. Modeling, 8, 378-382.
32. Prevost, J. H., and Tao, D. (1983). "Finite element analysis of dynamic coupled thermoelasticity problems with relaxation times." J. Appl. Mech., 50, 817-822.
33. Tassoulas, J. L., and Kausel, E. (1983). "Elements for the numerical analysis of wave motion in layered strata." Int. J. Numer. Methods in Engrg., 19, 1005-1032.
34. Wang, H. C., and Banerjee, P. K. (1990). "Generalized axisymmetric elastodynamic analysis by BEM." Int. J. Numer. Methods in Engrg., 30, 115-131.
35. Zienkiewicz, O. C., Chang, C. T., and Bettess, P. (1980). "Drained, undrained, consolidating and dynamic behavior assumptions in soil. Limits of validity." Géotechnique, London, England, 30, 385-395.
36. Zienkiewicz, O. C., and Shiomi, T. (1984). "Dynamic behavior of saturated porous media; the generalized Biot formulation and its numerical solution." Int. J. Numer. and Analytical Methods in Geomech., 8, 71-96.