Green functions for a compressible linearly non homogeneous half-space

Archive of Applied Mechanics

Volumn 67, Issue 8, 1997, Pages 521-534

  Muravskii, G ^a  

^a TECHNION ISRAEL INSTITUTE OF TECHNOLOGY   (Israel)

Author keywords

Elastic nonhomogeneity; Green function; Surface load; Time harmonic vibrations

Indexed keywords

ELASTIC MODULI; GREEN'S FUNCTION; INTEGRAL EQUATIONS; PROBLEM SOLVING; SHEAR STRESS;

COMPRESSIBLE LINEARLY NONHOMOGENEOUS HALF SPACE; ELASTIC NONHOMOGENEITY; SURFACE LOAD; TIME HARMONIC VIBRATIONS;

VIBRATIONS (MECHANICAL);

EID: 0031273171     PISSN: 09391533     EISSN: None     Source Type: Journal    
DOI: 10.1007/s004190050136     Document Type: Article

References (19)

1. Muravskii, G. B.: Green function for an incompressible linearly non-homogeneous half-space. Archive of Appl. Mech. 67(1996) 81-95
2. Gibson, R. E.: Some results concerning displacements and stresses in a non-homogeneous elastic half-space. Geotechnique 17 (1967) 58-67
3. Awojobi, A. O.; Gibson, R. E.: Plane strain and axially symmetric problems of a linearly nonhomogeneous elastic half-space. Quart. J. Mech. Appl. Math. 26 (1973) 285-302
4. Gibson, R. E.: The analytical method in soil mechanics. Geotechnique 24 (1974) 115-140
5. Brown P. T.: Numerical analysis of uniformly loaded circular raft on deep elastic foundation. Geotechnique 23 (1969) 67-84
6. Brown, P. T.; Gibson, R. E.: Rectangular loads on inhomogeneous elastic soil. J. Soil Mech. Found. Div. Am. Soc. Civ. Engrs SM 10 (1973) 917-920
7. Brown, P. T.: Influence of soil inhomogeneity on raft behaviour. Soil and Found. 14 (1974) 61-70
8. Brown, P. T.; Gibson, R. E.: Surface settlement of a deep elastic stratum whose modulus increases linearly with depth. Canad. Geot. J. 9 (1972) 467-476
9. Gibson, R. E.; Brown, P. T.; Andrews, K. R. F.: Some results concerning displacements in a nonhomogeneous elastic layer. Z Angew. Math. Pays. 22 (1971) 855-864
10. Carrier, W. D.; Christian, J. T.: Rigid circular plate resting on a non-homogeneous elastic half-space. Geotechnique 23 (1973) 67-84
11. Dempsey, J. P.; Li, H.: Rectangular footing on nonhomogeneous elastic half-space. Foundation Engineering: Current Principles and Practices (F. H. Kulhawy, Ed.), ASCE, Vol. 2, (1989) 1212-1225
12. Ewing, W. M.; Jardetsky, W. S.; Press, F.: Elastic waves in layered media, New York: McGraw-Hill 1957
13. Stoneley, R.: The transmission of Rayleigh waves in a heterogeneous medium. Geophysical suppl. to the monthly notices of the Roy. Astron. Soc. 3 (1934) 222-232
14. Newlands, M.: Rayleigh waves in a two-layer heterogeneous medium. Monthly Notices Roy. Astron. Soc.: Geophys. Suppl. 6 (1950) 109-125
15. Vardoulakis, L.; Vrettos, C.: Dispersion-law of Rayleigh-type waves in a compressible Gibson half-space. Int. J. Numer. Anal. Methods Geomech. 12 (1988) 639-655
16. Waas, G.; Riggs, H. R; Werkle, H.: Displacements solutions for dynamic loads in transversely-isotropic stratified media. Earthquake Eng. Struct. Dyn. 13 (1985) 329-342
17. Wolf, J. P.: Dynamic soil-structure interaction. Englewood Cliffs: Prentice-Hall 1985
18. Abramowitz, M; Stegun, I. A.: Handbook of Mathematical Functions. New York: Dover 1965
19. Erdelyi, A. et al.: Tables of integral transforms, v.II. New York: McGraw-Hill 1954