Reflection and Transmission of Shear Waves in Monoclinic Media

Chattopadhyay, Amares; Saha, S.; Chakraborty, Mohuya

doi:10.1002/(sici)1096-9853(199707)21:7<495::aid-nag884>3.0.co;2-a

Cited by 10 publications

(2 citation statements)

References 13 publications

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“…The reflection of elastic waves at a surface of an anisotropic elastic half-space was studied by Chattopadhyay and Choudhury [7], Chatterjee et al [8]. The reflection and transmission of elastic waves at an interface between two anisotropic elastic half-spaces was investigated by Rokhlin et al [9], Chattopadhyay et al [10][11][12]. The reflection and transmission of elastic waves through a layer sandwiched between two anisotropic elastic half-spaces, two inhomogeneous viscoelastic half-spaces [13], a more complicated problem, was investigated by Paswan and Sahu [14] for a fluid layer and by Kumari et al [15] for an isotropic elastic layer.…”

Section: Introductionmentioning

confidence: 99%

Reflection and transmission of quasi-P waves through an orthotropic layer sandwiched between two half-spaces

2018

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In this paper, the reflection and transmission of a qP wave through an orthotropic elastic layer sandwiched between two orthotropic elastic half-spaces is investigated. The main aim is to derive the expressions in closed-form of the reflection and transmission coefficients. These expressions have been obtained by using the transfer matrix for an orthotropic layer. Based on the obtained expressions, some numerical examples are carried out to examine the dependence of the reflection and transmission coefficients on the incident angle, the wave frequency and the ratio of mass densities.

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Section: Introductionmentioning

confidence: 99%

Reflection and transmission of quasi-P waves through an orthotropic layer sandwiched between two half-spaces

2018

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“…Later, Chattopadhyay and Saha (1996) investigated the reflection and refraction of P-waves at a plane interface between two different monoclinic media. Chattopadhyay et al (1997) discussed the reflection and transmission of shear waves in monoclinic media. Chattopadhyay and Saha (1999) attempted the reflection and refraction of quasi-SV-waves at the interface of the monoclinic media.…”

Section: Introductionmentioning

confidence: 99%

Quasi-P-waves at a corrugated interface between two dissimilar monoclinic elastic half-spaces

Singh

Tomar

2007

International Journal of Solids and Structures

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In this paper we have derived reflection and transmission coefficients of qP-waves at a corrugated interface between two different elastic half-spaces of monoclinic type. Using Rayleigh's method, the expressions for reflection and transmission coefficients are derived in closed form for a specific interface and for the first order approximation of the corrugation. Numerical computations are performed for a specific model and the results obtained have been shown graphically. The variation of the modulus of reflection and transmission coefficients with the angle of incidence, frequency and corrugation of the interface are shown separately. These coefficients are found to be strongly influenced by the angle of incidence, frequency, elastic parameters and amplitude of the corrugation of the interface. It is found that (i) the modulus of reflection and transmission coefficients at the plane interface are independent of corrugation of the interface and that of frequency of the incident wave, (ii) the reflection and transmission coefficients of regularly reflected and transmitted waves are found to be greater than that of irregularly reflected and transmitted waves, (iii) the coefficients of irregularly reflected and transmitted waves are found to increase and decrease with increase of corrugation and frequency parameters respectively. The results of Singh and Khurana [Singh, S.J., Khurana, S., 2001. Reflection and transmission of P-and SV-waves at the interface two between monoclinic elastic half-spaces. Proc. Natl. Acad. Sci. India 71(A) (IV), 305-319] have been reduced from the present problem.

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Reflection and refraction of SH‐waves at a corrugated interface between two monoclinic elastic half‐spaces

Kaur¹,

Tomar

2004

Num Anal Meth Geomechanics

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SUMMARYA problem of reflection and transmission of shear wave incident upon a corrugated interface between two monoclinic solid half-spaces have been investigated. Rayleigh's method of approximation is used to investigate the reflection and transmission coefficients for first and second approximation of the corrugation. For a special interface, closed-form expressions of these coefficients for the first order approximation of the corrugation are obtained. It is found that these coefficients are functions of amplitude of corrugation, elastic parameters of the media, frequency of the incident wave and angle of incidence. The numerical computations are performed for a specific model and the results obtained are presented graphically. It is found that the reflection and transmission coefficients are strongly influenced by the corrugation and the elastic properties of the media. Results of some earlier workers in this field have been reduced as particular case from the present formulation.

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Reflection and Transmission of Shear Waves in Monoclinic Media

Cited by 10 publications

References 13 publications

Reflection and transmission of quasi-P waves through an orthotropic layer sandwiched between two half-spaces

Reflection and transmission of quasi-P waves through an orthotropic layer sandwiched between two half-spaces

Quasi-P-waves at a corrugated interface between two dissimilar monoclinic elastic half-spaces

Reflection and refraction of SH‐waves at a corrugated interface between two monoclinic elastic half‐spaces

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