Effect of initial stress, heterogeneity and anisotropy on the propagation of seismic surface waves

Mahanty, Moumita; Chattopadhyay, Amares; Kumar, Pradeep; Singh, Abhishek Kumar

doi:10.1080/15376494.2018.1472329

Cited by 32 publications

(2 citation statements)

References 24 publications

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“…The dispersion phenomenon for Love-wave propagation in a heterogeneous self-reinforced structure is discussed by Chattopadhyay et al (2013). The influence of initial-stress, heterogeneity and anisotropy on the propagation of surface waves has been studied by Mahanty et al (2018), and shear wave propagation in isotropic cylindrical layered media is investigated by Kumar et al (2019).…”

Section: Introductionmentioning

confidence: 99%

Green’s function technique to study the influence of heterogeneity on horizontally polarised shear-wave propagation due to a line source in composite layered structure

Kumar

Mahanty

Chattopadhyay

et al. 2020

Journal of Vibration and Control

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The present paper investigates Green’s function technique to study the impact of the non-linear heterogeneity on the propagation of the horizontally polarised shear (SH) wave in a composite layered structure due to the line source. The composite structure is comprised of two distinct isotropic homogeneous elastic layers of finite width lying over an isotropic heterogeneous semi-infinite elastic medium. A general quadratic heterogeneity (including the linear heterogeneity term) in the rigidity of the semi-infinite medium has been taken into account. An efficient analytical treatment involving Green’s function technique along with the application of Fourier transformation has been employed to establish the closed form of the dispersion equation for the propagating wave. As a special case of the problem, the closed form of the dispersion equation has been found in well agreement with the pre-established and classical results. The influence of linear and non-linear heterogeneities on the phase velocity of the horizontally polarised shear-wave has been analysed comparatively for numerous cases associated with the considered model and the corresponding single layer half-space model. It is reported that the phase velocity of the horizontally polarised shear-wave is more pronounced in the case of the corresponding single layer half-space structure as compared to the considered structure. Also, the impact of the general quadratic heterogeneity (supported by the linear heterogeneity) enhances the phase velocity most favourably as compared to the case of the simple quadratic heterogeneity, linear heterogeneity and homogeneity in the semi-infinite medium.

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Section: Introductionmentioning

confidence: 99%

Green’s function technique to study the influence of heterogeneity on horizontally polarised shear-wave propagation due to a line source in composite layered structure

Kumar

Mahanty

Chattopadhyay

et al. 2020

Journal of Vibration and Control

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“…The influence of initial stress on Love wave propagation in a piezoelectric structure was studied by Liu et al (2001). The effect of initial stress, functional gradedness and anisotropy on the propagation of surface waves has been discussed by Mahanty et al (2018). A typical component of the previously mentioned papers is that they discussed about the issues on perfectly bonded interface; however, it is realized that the interfaces of piezoelectric composite structures may become damaged or imperfect after quite a while of service under harsh circumstances.…”

Section: Introductionmentioning

confidence: 99%

Effect of interfacial imperfection on shear wave propagation in a piezoelectric composite structure: Wentzel–Kramers–Brillouin asymptotic approach

Kumar

Mahanty

Chattopadhyay

et al. 2019

Journal of Intelligent Material Systems and Structures

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The primary objective of this article is to investigate the behaviour of horizontally polarized shear (SH) wave propagation in piezoelectric composite structure consisting of functionally graded piezoelectric material layer imperfectly bonded to functionally graded porous piezoelectric material half-space. The linear form of functional gradedness varying continuously along with depth is considered in both functionally graded piezoelectric material layer and functionally graded porous piezoelectric material half-space. The interface of the composite structure is considered to be damaged mechanically and/or electrically. Wentzel–Kramers–Brillouin asymptotic approach is adopted to solve the coupled electromechanical field differential equations of both functionally graded piezoelectric material layer and functionally graded porous piezoelectric material half-space. An analytical treatment has been employed to determine the dispersion relations of propagating SH-wave for both electrically short and electrically open conditions, which further reduced to the pre-established and classical results as special case of the problem. The effect of various affecting parameters, namely, functional gradedness, wave number, mechanical/electrical imperfection parameters in the presence and absence of porosity on the phase velocity of SH-wave, has been reported through numerical computation and graphical demonstration. In addition, the variation of the coupled electromechanical factor with dimensionless wave number and cut-off frequency with different modes of propagation of wave for electrically short and electrically open cases has also been discussed.

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Dynamic response of an irregular heterogeneous anisotropic poroelastic composite structure due to normal moving load

et al. 2020

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Effect of initial stress, heterogeneity and anisotropy on the propagation of seismic surface waves

Cited by 32 publications

References 24 publications

Green’s function technique to study the influence of heterogeneity on horizontally polarised shear-wave propagation due to a line source in composite layered structure

Green’s function technique to study the influence of heterogeneity on horizontally polarised shear-wave propagation due to a line source in composite layered structure

Effect of interfacial imperfection on shear wave propagation in a piezoelectric composite structure: Wentzel–Kramers–Brillouin asymptotic approach

Dynamic response of an irregular heterogeneous anisotropic poroelastic composite structure due to normal moving load

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