Effect of Irregularity on the Propagation of Torsional Surface Waves in an Initially Stressed Anisotropic Poro-Elastic Layer
-
摘要: 研究了扭转表面波在一个半无限非均匀半空间中的传播,半空间上覆盖着具有初始应力的各向异性多孔弹性层,弹性层的刚度和密度线性地变化,造成了界面的不规则性.半空间中界面的不规则性,用一个矩形形式表示.可以发现,扭转表面波在这样假定的介质中传播,得到了没有不规则性时的扭转表面波的速度方程.还可以发现,对于均匀半空间覆盖的层状介质,扭转表面波的速度与Love波的速度相一致.Abstract: The torsional surface wave propagation in an initially stressed aniso tropic poro-elastic layer over a semi-infinite heterogeneous half space with linearly varying rigidity and density due to irregularity at the interface was studied.The irregularity had been taken in the half-space in the form of arectangle.It is observed that to rsional surface waves propagate in this assumed medium.In the absence of irregularity the velocitye quation of torsional surface wave has also been obtained.Further,it has been seen that for a layer over a homogeneous half space,the velocity of torsional surface waves coincides with that of Love waves.
-
Key words:
- irregularity /
- torsional surface waves /
- aniso tropic /
- initial stress
-
[1] Achenbach J D. Wave Propagation in Elastic Solids[M]. New York: North Holland Publishing Comp, 1973. [2] Ewing W M, Jardetzky W S, Press F. Elastic Waves in Layered Media[M]. New York: McGraw Hill, 1957. [3] Bath M. Mathematical Aspects of Seismology[M]. New York: Elsvier Publishing Comp, 1968. [4] Biot M A. Theory of deformation of a porous visco-elastic anisotropic solid [J]. J Appl Phys, 1956, 27: 459-467. doi: 10.1063/1.1722402 [5] Dey S, Gupta S, Gupta A K. Torsional surface waves in an elastic half-space with void pores[J]. Int J Numer Anal Methods Geomech, 1993, 17(3):197-204. doi: 10.1002/nag.1610170305 [6] Dey S, Sarkar M G. Torsional surface waves in an initially stressed anisotropic porous medium [J]. Journal of Engineering Mechanics, 2002, 128 (2): 184-189. doi: 10.1061/(ASCE)0733-9399(2002)128:2(184) [7] Rayleigh L. On waves propagating along the plane surface of an elastic solid[J]. Proc London Math Soc, 1885, 17(1):4-11. doi: 10.1112/plms/s1-17.1.4 [8] Meissner E. Elastic oberflachenwellen mit dispersion in einem inhomogeneous medium[J]. Viertlagahrsschriftder Naturforschenden Gesellschaft, Zurich, 1921, 66:181-195. [9] Vardoulakis I. Torsional surface waves in inhomogeneous elastic media[J]. Int J Numer Anal Methods Geomech, 1984, 8(3): 287-296. doi: 10.1002/nag.1610080306 [10] Vrettos Ch. In-plane vibrations of soil deposits with variable shear modulus: II line load[J]. Int J Numer Anal Methods Geomech, 1990, 14(9): 649-662. doi: 10.1002/nag.1610140905 [11] Vrettos Ch. In-plane vibrations of soil deposits with variable shear modulus: I surface waves[J]. Int J Numer Anal Methods Geomech, 1990, 14(3): 209-222. doi: 10.1002/nag.1610140304 [12] Georgiadis H G, Vardoulakis I, Lykotrafitis G. Torsional surface waves in a gradient-elastic half space[J]. Wave Motion, 2000, 31(4): 333-348. doi: 10.1016/S0165-2125(99)00035-9 [13] Selim M M. Propagation of torsional surface waves in heterogeneous half-space with irregular free surface[J]. Appl Math Sci, 2007, 1(29/32): 1429-1437. [14] Weiskopf W H. Stresses in soils under a foundation[J]. J Franklin Inst, 1945: 239:445-465. [15] Biot M A. The theory of propagation of elastic waves in a fluid-saturated porous solid—Ⅰ:low frequency range;Ⅱ:higher frequency range[J]. J Acoust Soc Am,1956,28(2):168-191. doi: 10.1121/1.1908239 [16] Love A E H. The Mathematical Theory of Elasticity[M]. Cambridge: Cambridge University Press, 1927. [17] Biot M A. Mechanics of Incremental Deformation[M]. New York: John Willey and Sons, 1965.
点击查看大图
计量
- 文章访问数: 1534
- HTML全文浏览量: 100
- PDF下载量: 791
- 被引次数: 0