The Experts below are selected from a list of 12144 Experts worldwide ranked by ideXlab platform

Shishir Gupta - One of the best experts on this subject based on the ideXlab platform.

  • Torsional surface waves in an Inhomogeneous Layer over a gravitating anisotropic porous half-space
    Journal of Physics: Conference Series, 2015
    Co-Authors: Shishir Gupta, Abhijit Pramanik
    Abstract:

    The present work aims to deal with the propagation of torsional surface wave in an Inhomogeneous Layer over a gravitating anisotropic porous half space. The Inhomogeneous Layer exhibits the inhomogeneity of quadratic type. In order to show the effect of gravity the equation for the velocity of torsional wave has been obtained. It is also observed that for a Layer over a homogeneous half space without gravity, the torsional surface wave does not propagate. An attempt is also made to assess the possible propagation of torsional surface waves in that medium in the absence of the upper Layer. The effects of inhomogeneity factors and porosity on the phase velocity are depicted by means of graphs.

  • Torsional Surface Waves in an Inhomogeneous Layer over a Fluid Saturated Porous Half-Space
    Journal of Mechanics, 2015
    Co-Authors: Shishir Gupta, Abhijit Pramanik
    Abstract:

    In the present paper the propagation of torsional surface waves is discussed in an Inhomogeneous elastic Layer lying over a fluid saturated porous half space. The inhomogeneity in rigidity and density in the Inhomogeneous Layer plays an important role in the propagation of torsional surface waves. The presence of fluid in the pores diminishes the velocity. Further, it is seen that if the Layer becomes homogeneous and the porous half space is replaced by a homogeneous half space, the velocity of the torsional surface waves coincides with that of Love wave. The effect of inhomogeneity factors and porosity factor on the phase velocity of torsional surface wave is delimitated by means of graphs.

  • Propagation of torsional surface waves in an Inhomogeneous Layer over an initially stressed Inhomogeneous half-space
    Journal of Vibration and Control, 2013
    Co-Authors: Shishir Gupta, Samapti Kundu, Sumit Kumar Vishwakarma
    Abstract:

    This paper has been framed to study the propagation of torsional surface waves in an Inhomogeneous Layer of finite thickness over an initially stressed Inhomogeneous half-space. Rigidity, density and initial stress of the half-space are assumed to have linear variation, and in Layers linear variation in rigidity and density are also considered. It has been observed that the inhomogeneity parameter and the initial stress play an important role for the propagation of the torsional surface wave. The method of separation of variables is applied to find the displacement field. The dispersion equation of phase velocity is derived. The velocities of torsional waves are calculated numerically as a function of kH and presented in a number of graphs, where k is the wave number, and H is the thickness of the Layer. Graphical user interface has been developed using MATLAB to generalize the effect of the various parameters discussed. As a particular case it has been seen that the dispersion equation is in agreement wi...

  • torsional wave propagation in non homogeneous Layer between non homogeneous half spaces
    International Journal for Numerical and Analytical Methods in Geomechanics, 2013
    Co-Authors: Amares Chattopadhyay, Shishir Gupta, Pato Kumari, V K Sharma
    Abstract:

    SUMMARY The study of surface wave in a Layered medium has their possible application in geophysical prospecting. In the present work, dispersion equation for torsional wave in an Inhomogeneous isotropic Layer between Inhomogeneous isotropic half-spaces has been derived. Two cases are discussed separately for torsional wave propagation in Inhomogeneous Layer between homogeneous and non-homogeneous half-spaces, respectively. Further, two possible modes for torsional wave propagation are obtained in case of Inhomogeneous Layer sandwiched between non-homogeneous half-spaces. Closed form solutions for displacement in the Layer and half-spaces are obtained in each case. The study reveals that the Layer width, Layer inhomogeneity, frequency of inhomogeneity, as well as inhomogeneity in the half-space has significant effect on the propagation of torsional surface waves. Displacement and implicit dispersion equation for torsional wave velocities are expressed in terms of Heun functions and their derivatives. Effects of inhomogeneity on torsional wave velocity are also discussed graphically by plotting the dimensionless phase velocity against dimensionless and scaled wave number for different values of inhomogeneity parameter. Copyright © 2012 John Wiley & Sons, Ltd.

  • Torsional surface wave propagation in an initially stressed non-homogeneous Layer over a non-homogeneous half-space
    Applied Mathematics and Computation, 2012
    Co-Authors: Shishir Gupta, D. K. Majhi, Sumit Kumar Vishwakarma
    Abstract:

    Abstract It is of great interest to study torsional surface wave propagation in an initially stressed non-homogeneous Layer over a non-homogeneous half-space. The method of separation of variables is applied to find the displacement field. It is well known in the literature that the earth medium is not at all initial stress free and homogeneous throughout, but it is initially stressed and non-homogeneous. Keeping these things in mind, we have discussed propagation of torsional surface wave in an initially stressed non-homogeneous Layer over a non-homogeneous half-space. It has been observed that the inhomogeneity parameter and the initial stress play an important role for the propagation of torsional surface wave. It has been seen that as the non-homogeneity parameter in the Layer increases, the velocity of torsional surface wave also increases. Similarly as the non-homogeneity parameter in the half-space increases, the velocity of torsional surface wave increases. The initial stresses P present in the Inhomogeneous Layer also have effect in the velocity of propagation. It has been observed that an increase in compressive initial stresses decreases the velocity of torsional surface wave.

Amares Chattopadhyay - One of the best experts on this subject based on the ideXlab platform.

  • torsional wave in an initially stressed Layer lying between two Inhomogeneous media
    Meccanica, 2015
    Co-Authors: Sudarshan Dhua, Amares Chattopadhyay
    Abstract:

    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.

  • torsional wave propagation in non homogeneous Layer between non homogeneous half spaces
    International Journal for Numerical and Analytical Methods in Geomechanics, 2013
    Co-Authors: Amares Chattopadhyay, Shishir Gupta, Pato Kumari, V K Sharma
    Abstract:

    SUMMARY The study of surface wave in a Layered medium has their possible application in geophysical prospecting. In the present work, dispersion equation for torsional wave in an Inhomogeneous isotropic Layer between Inhomogeneous isotropic half-spaces has been derived. Two cases are discussed separately for torsional wave propagation in Inhomogeneous Layer between homogeneous and non-homogeneous half-spaces, respectively. Further, two possible modes for torsional wave propagation are obtained in case of Inhomogeneous Layer sandwiched between non-homogeneous half-spaces. Closed form solutions for displacement in the Layer and half-spaces are obtained in each case. The study reveals that the Layer width, Layer inhomogeneity, frequency of inhomogeneity, as well as inhomogeneity in the half-space has significant effect on the propagation of torsional surface waves. Displacement and implicit dispersion equation for torsional wave velocities are expressed in terms of Heun functions and their derivatives. Effects of inhomogeneity on torsional wave velocity are also discussed graphically by plotting the dimensionless phase velocity against dimensionless and scaled wave number for different values of inhomogeneity parameter. Copyright © 2012 John Wiley & Sons, Ltd.

  • Propagation of torsional waves in an Inhomogeneous Layer over an Inhomogeneous half-space
    Meccanica, 2011
    Co-Authors: Amares Chattopadhyay, Shishir Gupta, Pato Kumari, V K Sharma
    Abstract:

    The present paper is concerned with the study of propagation of torsional waves in an Inhomogeneous isotropic Layer whose material properties vary harmonically with a space variable, lying over a semi-infinite Inhomogeneous isotropic half-space. The closed form solutions for the displacement in the Layer and half-space are obtained separately. The dimensionless phase velocity has been plotted against dimensionless wave number and scaled wave number for different values of inhomogeneity parameters. The effects of inhomogeneity have been shown in the dispersion curves using 2D and 3D plot.

V K Sharma - One of the best experts on this subject based on the ideXlab platform.

  • Propagation of torsional waves in an Inhomogeneous Layer sandwiched between Inhomogeneous semi-infinite strata
    Journal of Engineering Mathematics, 2015
    Co-Authors: Pato Kumari, V K Sharma, Chitra Modi
    Abstract:

    The present work deals with the propagation of torsional waves in an Inhomogeneous Layer sandwiched between Inhomogeneous semi-infinite strata. The superstratum has exponential variation in rigidity and density, whereas inhomogeneities in the Layer and the substratum are assumed to arise due to linear and quadratic variations in shear modulus and density. Closed-form solutions for displacements in the Layer and the semi-infinite strata are obtained. A generalized implicit dispersion equation is obtained for the phase velocity and expressed in terms of Heun functions and their derivatives. Three possible torsional modes are derived and characterized separately. It is observed that the effects of inhomogeneity parameters are different for different modes of torsional waves and certain torsional modes are found to be independent of certain inhomogeneity parameters. The range of confinement of torsional modes, the combined effect of wave number and inhomogeneity ratio, and the condition of torsional waves becoming nondispersive are derived through numerical simulation and shown using two-dimensional and three-dimensional graphs.

  • torsional wave propagation in non homogeneous Layer between non homogeneous half spaces
    International Journal for Numerical and Analytical Methods in Geomechanics, 2013
    Co-Authors: Amares Chattopadhyay, Shishir Gupta, Pato Kumari, V K Sharma
    Abstract:

    SUMMARY The study of surface wave in a Layered medium has their possible application in geophysical prospecting. In the present work, dispersion equation for torsional wave in an Inhomogeneous isotropic Layer between Inhomogeneous isotropic half-spaces has been derived. Two cases are discussed separately for torsional wave propagation in Inhomogeneous Layer between homogeneous and non-homogeneous half-spaces, respectively. Further, two possible modes for torsional wave propagation are obtained in case of Inhomogeneous Layer sandwiched between non-homogeneous half-spaces. Closed form solutions for displacement in the Layer and half-spaces are obtained in each case. The study reveals that the Layer width, Layer inhomogeneity, frequency of inhomogeneity, as well as inhomogeneity in the half-space has significant effect on the propagation of torsional surface waves. Displacement and implicit dispersion equation for torsional wave velocities are expressed in terms of Heun functions and their derivatives. Effects of inhomogeneity on torsional wave velocity are also discussed graphically by plotting the dimensionless phase velocity against dimensionless and scaled wave number for different values of inhomogeneity parameter. Copyright © 2012 John Wiley & Sons, Ltd.

  • Propagation of torsional waves in an Inhomogeneous Layer over an Inhomogeneous half-space
    Meccanica, 2011
    Co-Authors: Amares Chattopadhyay, Shishir Gupta, Pato Kumari, V K Sharma
    Abstract:

    The present paper is concerned with the study of propagation of torsional waves in an Inhomogeneous isotropic Layer whose material properties vary harmonically with a space variable, lying over a semi-infinite Inhomogeneous isotropic half-space. The closed form solutions for the displacement in the Layer and half-space are obtained separately. The dimensionless phase velocity has been plotted against dimensionless wave number and scaled wave number for different values of inhomogeneity parameters. The effects of inhomogeneity have been shown in the dispersion curves using 2D and 3D plot.

Sumit Kumar Vishwakarma - One of the best experts on this subject based on the ideXlab platform.

  • Propagation of torsional surface waves in an Inhomogeneous Layer over an initially stressed Inhomogeneous half-space
    Journal of Vibration and Control, 2013
    Co-Authors: Shishir Gupta, Samapti Kundu, Sumit Kumar Vishwakarma
    Abstract:

    This paper has been framed to study the propagation of torsional surface waves in an Inhomogeneous Layer of finite thickness over an initially stressed Inhomogeneous half-space. Rigidity, density and initial stress of the half-space are assumed to have linear variation, and in Layers linear variation in rigidity and density are also considered. It has been observed that the inhomogeneity parameter and the initial stress play an important role for the propagation of the torsional surface wave. The method of separation of variables is applied to find the displacement field. The dispersion equation of phase velocity is derived. The velocities of torsional waves are calculated numerically as a function of kH and presented in a number of graphs, where k is the wave number, and H is the thickness of the Layer. Graphical user interface has been developed using MATLAB to generalize the effect of the various parameters discussed. As a particular case it has been seen that the dispersion equation is in agreement wi...

  • Torsional surface wave propagation in an initially stressed non-homogeneous Layer over a non-homogeneous half-space
    Applied Mathematics and Computation, 2012
    Co-Authors: Shishir Gupta, D. K. Majhi, Sumit Kumar Vishwakarma
    Abstract:

    Abstract It is of great interest to study torsional surface wave propagation in an initially stressed non-homogeneous Layer over a non-homogeneous half-space. The method of separation of variables is applied to find the displacement field. It is well known in the literature that the earth medium is not at all initial stress free and homogeneous throughout, but it is initially stressed and non-homogeneous. Keeping these things in mind, we have discussed propagation of torsional surface wave in an initially stressed non-homogeneous Layer over a non-homogeneous half-space. It has been observed that the inhomogeneity parameter and the initial stress play an important role for the propagation of torsional surface wave. It has been seen that as the non-homogeneity parameter in the Layer increases, the velocity of torsional surface wave also increases. Similarly as the non-homogeneity parameter in the half-space increases, the velocity of torsional surface wave increases. The initial stresses P present in the Inhomogeneous Layer also have effect in the velocity of propagation. It has been observed that an increase in compressive initial stresses decreases the velocity of torsional surface wave.

Pato Kumari - One of the best experts on this subject based on the ideXlab platform.

  • Propagation of torsional waves in an Inhomogeneous Layer sandwiched between Inhomogeneous semi-infinite strata
    Journal of Engineering Mathematics, 2015
    Co-Authors: Pato Kumari, V K Sharma, Chitra Modi
    Abstract:

    The present work deals with the propagation of torsional waves in an Inhomogeneous Layer sandwiched between Inhomogeneous semi-infinite strata. The superstratum has exponential variation in rigidity and density, whereas inhomogeneities in the Layer and the substratum are assumed to arise due to linear and quadratic variations in shear modulus and density. Closed-form solutions for displacements in the Layer and the semi-infinite strata are obtained. A generalized implicit dispersion equation is obtained for the phase velocity and expressed in terms of Heun functions and their derivatives. Three possible torsional modes are derived and characterized separately. It is observed that the effects of inhomogeneity parameters are different for different modes of torsional waves and certain torsional modes are found to be independent of certain inhomogeneity parameters. The range of confinement of torsional modes, the combined effect of wave number and inhomogeneity ratio, and the condition of torsional waves becoming nondispersive are derived through numerical simulation and shown using two-dimensional and three-dimensional graphs.

  • torsional wave propagation in non homogeneous Layer between non homogeneous half spaces
    International Journal for Numerical and Analytical Methods in Geomechanics, 2013
    Co-Authors: Amares Chattopadhyay, Shishir Gupta, Pato Kumari, V K Sharma
    Abstract:

    SUMMARY The study of surface wave in a Layered medium has their possible application in geophysical prospecting. In the present work, dispersion equation for torsional wave in an Inhomogeneous isotropic Layer between Inhomogeneous isotropic half-spaces has been derived. Two cases are discussed separately for torsional wave propagation in Inhomogeneous Layer between homogeneous and non-homogeneous half-spaces, respectively. Further, two possible modes for torsional wave propagation are obtained in case of Inhomogeneous Layer sandwiched between non-homogeneous half-spaces. Closed form solutions for displacement in the Layer and half-spaces are obtained in each case. The study reveals that the Layer width, Layer inhomogeneity, frequency of inhomogeneity, as well as inhomogeneity in the half-space has significant effect on the propagation of torsional surface waves. Displacement and implicit dispersion equation for torsional wave velocities are expressed in terms of Heun functions and their derivatives. Effects of inhomogeneity on torsional wave velocity are also discussed graphically by plotting the dimensionless phase velocity against dimensionless and scaled wave number for different values of inhomogeneity parameter. Copyright © 2012 John Wiley & Sons, Ltd.

  • Propagation of torsional waves in an Inhomogeneous Layer over an Inhomogeneous half-space
    Meccanica, 2011
    Co-Authors: Amares Chattopadhyay, Shishir Gupta, Pato Kumari, V K Sharma
    Abstract:

    The present paper is concerned with the study of propagation of torsional waves in an Inhomogeneous isotropic Layer whose material properties vary harmonically with a space variable, lying over a semi-infinite Inhomogeneous isotropic half-space. The closed form solutions for the displacement in the Layer and half-space are obtained separately. The dimensionless phase velocity has been plotted against dimensionless wave number and scaled wave number for different values of inhomogeneity parameters. The effects of inhomogeneity have been shown in the dispersion curves using 2D and 3D plot.