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Two boundary value problems are investigated in this paper: first, a plane SH-wave incident upon a slab of monoclinic crystal which is interposed between two uniform elastic solid half-spaces; second, a plane SH-wave incident upon a linear homogeneous isotropic elastic slab interposed between two monoclinic elastic half-spaces. The expressions of reflection and transmission coefficients are derived in a closed form and several particular cases are discussed. Elastic constants for rock gypsum (CaSO4.2H2O) are used in numerical computations to describe the effect of monoclinic properties on reflection and transmission coefficients. It is found that there is a significant effect of the interposed layer on reflection and transmission coefficients.
Rocznik
Tom
Strony
345--358
Opis fizyczny
Bibliogr. 16 poz., wykr.
Twórcy
autor
- Department of Mathematics, Panjab University, Chandigarh-1600 14, INDIA
autor
- Department of Mathematics, Government College, Sector-11, Chandigarh-1600 11, INDIA
Bibliografia
- [1] Chattopadhyay A., Saha S. and Chakraborty M. (1997): Reflection and transmission of shear waves in monoclinie media. - Int. J. Num. Anal. Methods Geomech., vol.21, pp.495-504.
- [2] Chatopadhyay A. and Choudhury S. (1995): The reflection phenomena of P waves in a medium of monoclinic type. - Int. J. Eng. Sci., vol.33, pp.195-207.
- [3] Chattopadhyay A., Saha A. and Chakraborty M. (1996): Reflection of SV-waves in a monoclinic medium. - Indian J. Pure Appl. Math., vol.27, No. 10, pp.1029-1042.
- [4] Chattopadhyay A. and Saha S. (1996): Reflection and refraction of P waves at the interface of two monoclinic media. Int. J. Eng. Sci., vol.34, pp.1271-1284.
- [5] Haussuhl V.S. (1965): Elastische und thermoelastische eigenschaften CaS04.2H20 (Gips). - Zeitsehrift fur Kristallographite, Bd, vol.l22, pp.311-314.
- [6] Jelphinstone M. and Lakhtakia A. (1994): Plane wave response of an elastic chiral solid slab sandwiched between a chiral fluid half-spaces. - Proc. Indian Natn. Sci. Acad., vol.60, A, NoA, pp.593-605.
- [7] Kaushik V.P. and Rana A. (1997): Transmission of SH-waves through a linear viscoelastic layer sandwiched between two anisotropic inhomogeneous elastic half-spaces. - Indian J. Pure Appl. Math., vol.28, pp.851-863.
- [8] Malhotra S., Chopra S.D. and Gogna M.L. (1983): Reflection and transmission of SH-waves in a laterally and vertically heterogeneous anisotropic stratum. - Acta Geophysica Polonica, vol.31, pp.267-280.
- [9] Singh SJ. (1999): Comments on "The reflection phenomenon of P waves in a medium of monoclinic type" by Chattopadhyay and Choudhury. - Int. J. Eng. Sci., vol.37, pp 407-410.
- [10] Singh SJ. and Khurana S. (2002): Reflection of P and SV-waves at the free surface of amonoclinic elastic half-spaces. - Proc. Indian Acad. Sci. (Earth Plan er. Sci.), vol.111, NoA, pp. 401-412.
- [11] Singh SJ., Sachdeva N. and Khurana S. (1999): A note on the dispersion of Love waves in layered monoclinic media. - Proc. Indian. Acad. Sci. (Math. Sci.), vol.109, NoA, pp. 417-423.
- [12] Sinha S.B. (1964): Transmission of elastic waves through a homogeneous layer sandwiched in homogeneous media. - J. Phys. Earth, vol.l2, pp.1-4.
- [13] Thapliyal V. (1974): Reflection of SH-wave from anisotropic transition layer. - Bull. Seism. Soc. Arn., vol.64, pp.1979-1991.
- [14] Tiersten H. F. (1969): Linear Piezoelectric Plane Vibrations. - New York: Plenum Press.
- [15] Wang Y.-S. and Yu G.-L. (1999): Transmission of SH-waves through an elastic layer between two solids with frictional contact interfaces. - J. Applied Mechanics, vol.66, pp.729-737.
- [16] Wang Y.-S., Yu G.-L. and Dai H.-H. (2003): Transmission of elastic waves through a frictional contact interface between two anisotropic dissimilar media. - Wave Motion, vol.37, pp.137-156.
Typ dokumentu
Bibliografia
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bwmeta1.element.baztech-article-BPZ2-0013-0062