不规则单斜地层中磁弹性剪切波的色散方程

A·查托帕答雅; S·古普塔; S·A·萨胡; A·K·辛格

doi:10.3879/j.issn.1000-0887.2011.05.004

不规则单斜地层中磁弹性剪切波的色散方程

doi: 10.3879/j.issn.1000-0887.2011.05.004

印度矿业学院应用数学系,丹巴德 826004,恰尔肯德邦,印度

基金项目: 谢新德里DST研究基金资助项目(SR/S4/MS:436/07)

详细信息

中图分类号: O347
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出版历程
- 收稿日期: 2010-02-18
- 修回日期: 2011-01-11
- 刊出日期: 2011-05-15

Dispersion Equation of Magnetoelastic Shear Waves in an Irregular Monoclinic Layer

Department of Applied Mathematics, Indian School of Mines, Dhanbad-826004, Jharkhand, India

摘要

摘要: 在内夹磁弹性单斜地层中，下界面不规则变化时，研究水平偏振剪切波的传播，该地层夹在两个半无限磁弹性单斜介质之间，得到了闭式的色散方程．不计磁场及介质界面的不规则性，该色散方程与三层介质中经典方程相一致．图示了磁场和界面不规则深度对相速度的影响．
- 剪切波 /
- 磁弹性 /
- 单斜 /
- 不规则性 /
- 色散方程 /
- 摄动
Abstract: The propagation of horizontally polarised shear waves in an internal magnetoelastic monoclinic stratum with irregularity in lower interface was studied. The stratum was sandwiched between two magnetoelastic monoclinic semi-infinite media. Dispersion equation was obtained in closed form. In absence of magnetic field and irregularity of the medium, the dispersion equation agrees with the equation of classical case in three layered media. The effect of magnetic field and size of irregularity on the phase velocity has been depicted by means of graphs.
- shear wave /
- magnetoelastic /
- monoclinic /
- irregularity /
- dispersion equation /
- perturbation

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参考文献(17)

[1]	Bhattacharya J. On the dispersion curve for Love wave due to irregularity in the thickness of the transversely isotropic crustal layer[J]. Gerlands Beitrage zur Geophysik, 1962, 6: 324-334.
[2]	Chattopadhyay A. On the dispersion equation for Love wave due to irregularity in the thickness of non-homogeneous crustal layer[J]. Acta Geophysica Polonica, 1975, 23: 307-317.
[3]	Chattopadhyay A, De R K. Love type wave in a porous layer with irregular interface[J]. Int J Eng Sci, 1983, 21(11): 1995-1203.
[4]	Chattopadhyay A, Chakraborty M, Pal A K. Effects of irregularity on the propagation of guided SH waves[J]. Journal de Mecanique, 1983, 2(2): 215-225.
[5]	Ding G, Darvinski M. Scattering of SH-waves in multilayered media with irregular interfaces[J]. Earthquake Engineering & Structural Dynamics, 1998, 25(12): 1391-1404.
[6]	Chattopadhyay A, Maugin G A. Magnetoelastic surface shear waves due to amomentary point source[J]. J Acoust Soc Am, 1993, 94(1): 437-446. doi: 10.1121/1.407055
[7]	Chattopadhyay A, Bandyopadhyay U K. Shear waves in an infinite monoclinic crystal plate[J]. International Journal of Engineering Science, 1986, 24(10): 1587-1596. doi: 10.1016/0020-7225(86)90133-3
[8]	Chattopadhyay A, Kesari A, Choudhury S. Propagation of a crack due to shear waves in a non-homogeneous medium of monoclinic type[J]. Indian J Pure and Appl Math, 1994, 25(11): 1195-1205.
[9]	Chattopadhyay A, Gupta S, Sharma V K, Kumari Pato. Propagation of SH waves in an irregular monoclinic crustal layer[J]. Archive of Applied Mechanics, 2008, 78(12): 989-999. doi: 10.1007/s00419-008-0209-6
[10]	Du J K, Xian K, Wang J. SH surface acoustic wave propagation in a cylindrically layered piezomagnetic/piezoelectric structure[J]. Ultrasonic, 2009, 49(131), PMID 18922557.
[11]	Du J K, Cheng X, Wang J. Love wave propagating in a magneto-electro-elastic material structure loaded with viscous liquid[J]. Frequency Control Symposium (FCS), 2010 IEEE International, 2010: 224-227.
[12]	Eringen A C, Samuels C J. Impact and moving loads on a slightly curved elastic half space[J]. Journal of Applied Mechanics, 1959, 26: 491-498.
[13]	Willis H F. A formula for expanding an integral as series[J]. Philosophical Magazine, 1948, 39: 455-459.
[14]	Tranter C J. Integral Transform in Mathematical Physics[M]. London: Methuen and Co Ltd, 1966.
[15]	Achenbach J D. Wave Propagation in Elastic Solids[M]. New York: North Holland Pub Comp, 1975.
[16]	Chattopadhyay A, Pal A K. Dispersion curves of SH waves caused by irregularity in the prestressed internal stratum[J]. Acta Geophysica Polonica, 1983, 31(1): 37-49.
[17]	Tiersten H F. Linear Piezoelectric Plate Vibrations[M]. New York: Plenum Press, 1969.