[1] |
Ewing W M, Jardetzky, W S, Press F. Elastic Waves in Layered Media[M]. New York: McGraw-Hill, 1957.
|
[2] |
Vrettos Ch. In-plane vibrations of soil deposits with variable shear modulus—Ⅰ: surface waves[J]. Int J Numer Anal Meth Geomech, 1990, 14(3): 209-222.
|
[3] |
Kennett B L N, Tkalcˇic' H. Dynamic earth: crustal and mantle heterogeneity[J]. Aust J Earth Sci, 2008, 55(3): 265-279.
|
[4] |
Reissner E, Sagoci H F. Forced torsional oscillations of an elastic half-space Ⅰ[J]. J Appl Phy, 1944, 15(9): 652.
|
[5] |
Rayleigh L. On waves propagated along plane surface of an elastic solid[J]. Proc Lond Math Soc, 1885, 17(3): 4-11.
|
[6] |
Georgiadis H G, Vardoulakis I, Lykotrafitis G. Torsional surface waves in a gradient-elastic half space[J]. Wave Motion, 2000, 31(4): 333-348.
|
[7] |
Meissner E. Elastic oberflachenwellen mit dispersion in einem inhomogeneous medium[J]. Viertlagahrsschriftder Naturforschenden Gesellschaft, 1921, 66: 181-195.
|
[8] |
Bhattacharya R C. On the torsional wave propagation in a two-layered circular cylinder with imperfect bonding[J]. Proc Indian natn Sci Acad, 1975, 41(6): 613-619.
|
[9] |
Dey S, Dutta A. Torsional wave propagation in an initially stressed cylinder[J]. Proc Indian Natn Sci Acad, 1992, 58(5): 425-429.
|
[10] |
Chattopadhyay A, Gupta S, Kumari P, Sharma V K. Propagation of torsional waves in an inhomogeneous layer over an inhomogeneous half space[J]. Meccanica, 2011, 46(4): 671-680.
|
[11] |
Pujol J. Elastic Wave Propagation and Generation in Seismology[M]. Cambridge: Cambridge University Press, 2003.
|
[12] |
Chapman C. Fundamentals of Seismic Wave Propagation[M]. Cambridge: Cambridge University Press, 2004.
|
[13] |
Gupta S, Chattopadhyay A, Kundu S, Gupta A K. Effect of rigid boundary on the propagation of torsional waves in a homogeneous layer over a heterogeneous half-space[J]. Arch Appl Mech, 2010, 80(2): 143-150.
|
[14] |
Davini C, Paroni R, Puntle E. An asymptotic approach to the torsional problem in thin rectangular domains[J]. Meccanica, 2008, 43(4): 429-435.
|
[15] |
Vardoulakis I. Torsional surface waves in inhomogeneous elastic media[J]. Int J Numer Analyt Meth Geomech, 1984, 8(3): 287-296.
|
[16] |
Akbarov S D, Kepceler T, Egilmez M Mert. Torsional wave dispersion in a finitely pre-strained hollow sandwich circular cylinder[J]. Journal of Sound and Vibration, 2011, 330(18/19): 4519-4537.
|
[17] |
Ozturk A, Akbbarov S D. Torsional wave propagation in a pre-stressed circular cylinder embedded in a pre-stressed elastic medium[J]. Applied Mathematical Modelling, 2009, 33(9): 3636-3649.
|
[18] |
Bullen K E. The problem of the Earth’s density variation[J]. Bull Seismol Soc Am, 1940, 30(3): 235-250.
|
[19] |
Sari C, Salk M. Analysis of gravity anomalies with hyperbolic density contrast: an application to the gravity data of Western Anatolia[J]. J Balkan Geophys Soc, 2002, 5(3): 87-96.
|
[20] |
Love A E H. The Mathematical Theory of Elasticity[M]. Cambridge: Cambridge University Press, 1927.
|
[21] |
Whittaker E T, Watson G N. A Course in Modern Analysis[M]. 4th ed. Cambridge: Cambridge University Press, 1990.
|
[22] |
Gubbins D. Seismology and Plate Tectonics[M]. Cambridge, New York: Cambridge University press, 1990: 170.
|
[23] |
Tierstein H F. Linear Piezoelectric Plate Vibrations[M]. New York: Plenum Press, 1969.
|