Torsional surface waves in heterogeneous anisotropic half-space under initial stress

Chattopadhyay, Amares; Gupta, Shishir; Sahu, Sanjeev A.; Dhua, Sudarshan

doi:10.1007/s00419-012-0683-8

Cited by 33 publications

(9 citation statements)

References 8 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…P(z) being the compressive initial stress in the medium along the r direction [22]. Considering the harmonic wave solution of the Eq.…”

Section: Basic Preliminariesmentioning

confidence: 99%

“…Zhang and Chen [20] discussed the torsional wave propagation in a circumferentially poled piezoelectric cylindrical transducer with unattached electrodes, whereas Chattopadhyay et al [21] studied the torsional wave propagation in an inhomogeneous layer with harmonic variation over an inhomogeneous half-space with linear variation in rigidity and density. Chattopadhyay et al [22] also shown that heterogeneous anisotropic half space with initial stress allow torsional wave to propagate. Recently Dhua et al [23] discussed the effect of heterogeneity, initial stress and reinforcement on the propagation of torsional surface wave in a composite layer overlying an anisotropic heterogeneous half space.…”

Section: Introductionmentioning

confidence: 95%

See 1 more Smart Citation

Torsional wave in an initially stressed layer lying between two inhomogeneous media

Dhua

Chattopadhyay

2015

Meccanica

View full text Add to dashboard Cite

In the present paper, case wise studies have been made to investigate the existence of torsional surface wave in an initially stressed isotropic heterogeneous layer sandwiched between two inhomogeneous semi infinite media. Two cases have been discussed separately for wave propagation in an inhomogeneous layer between homogeneous and non-homogeneous half spaces, respectively. The dispersion relations of torsional surface wave for both the cases have been obtained in closed form. The effect of inhomogeneity parameter and initial stresses on the propagation of torsional surface wave have been discussed and presented graphically by plotting the dispersion curves.

show abstract

“…P(z) being the compressive initial stress in the medium along the r direction [22]. Considering the harmonic wave solution of the Eq.…”

Section: Basic Preliminariesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 95%

Torsional wave in an initially stressed layer lying between two inhomogeneous media

Dhua

Chattopadhyay

2015

Meccanica

View full text Add to dashboard Cite

show abstract

“…Chattopadhyay et al. (2009, 2011, 2012 and 2013) presented various notes on the effects of reinforcement, initial stress, anisotropy, heterogeneity and inhomogeneity on the torsional wave propagation in different composite layered media. Najafov et al.…”

Section: Introductionmentioning

confidence: 99%

Dispersion of torsional surface wave in an intermediate vertical prestressed inhomogeneous layer lying between heterogeneous half spaces

Kakar

Kakar²

2016

Journal of Vibration and Control

View full text Add to dashboard Cite

The purpose of this study is to illustrate the propagation of the torsional surface waves in an intermediate inhomogeneous initially stressed vertical elastic layer sandwiched between two heterogeneous half-spaces. It is considered that the mass density and the rigidity of upper and lower half-spaces are space dependent. The proposed model is solved to obtain the different dispersion relations for the torsional surface wave in the elastic medium of different properties. The effects of compressive and tensile stresses along with the heterogeneity on the dispersion of torsional surface wave in the intermediate layer are shown numerically. The wave analysis further indicates that the inhomogeneity, the initial stress of the layer and the heterogeneity of both the half spaces affect the wave velocity remarkably. The results may be useful to understand the nature of seismic wave propagation in geophysical applications and in the field of earthquake engineering.

show abstract

“…In his work, directional rigidities along r and z ‐direction and density of the layer varies linearly along the depth and torsional surface waves in heterogeneous anisotropic half‐space underneath initial stress has been analyzed by Chattopadhyay et al. . The Authors have been taken into consideration the medium as pre‐stressed, and the variation in rigidity and density has been taken linear with the depth.…”

Section: Introductionmentioning

confidence: 99%

Torsional surface wave dispersion in pre-stressed dry sandy layer over a gravitating anisotropic porous half-space

Prasad

Kundu

2016

Z. Angew. Math. Mech.

View full text Add to dashboard Cite

The present paper discusses the dispersion of torsional surface wave in a pre-stressed dry sandy layer over an anisotropic porous half-space under the influence of gravity. The inhomogeneity has been expected as hyperbolic variation in the sandy layer. The mathematical analysis of the problem has been dealt with the asymptotic expansion of Whittaker function and its derivative. The dispersing mathematical statement acquired is in concurrence with the conventional consequence of Love wave in a homogeneous layer over a homogeneous half space when the upper limit plane is thought to be traction free. The velocities of torsional waves are ascertained numerically as a component of kH and introduced in various graphs, where k is the wave number and H is the thickness of the sandy layer. The numerical expression gives the scaffold between displaying results and field application. The impact of non-homogeneity in modulus of rigidity, stress, density, and porosity have been portrayed by the method for numerical data and graphs. The study reveals that the torsional surface wave propagates in an initially stressed dry sandy layer over a gravitating anisotropic porous half-space. It is additionally watched that the vicinity of gravity field builds the speed of the torsional surface wave. This work may be valuable to comprehend the way of seismic wave proliferation amid quake in the considered media.

show abstract

Torsional surface waves in heterogeneous anisotropic half-space under initial stress

Cited by 33 publications

References 8 publications

Torsional wave in an initially stressed layer lying between two inhomogeneous media

Torsional wave in an initially stressed layer lying between two inhomogeneous media

Dispersion of torsional surface wave in an intermediate vertical prestressed inhomogeneous layer lying between heterogeneous half spaces

Torsional surface wave dispersion in pre-stressed dry sandy layer over a gravitating anisotropic porous half-space

Contact Info

Product

Resources

About