Rayleigh-Type Waves in a Rotating Fiber-Reinforced Half Space under the Action of Magnetic Field, Gravity and Surface Stress

The aim of the present article is to analyze the propagation of Rayleigh waves in a rotating fiber-reinforced electrically conducting elastic solid medium under the influence of surface stress, magnetic field and gravity. The magnetic field is applied in such a direction that the problem can be considered as a two dimensional one. The wave velocity equation for Rayleigh waves has been obtained. In the absence of gravity field, surface stress, rotation and fiberreinforcement, the frequency equation is in complete agreement with the corresponding classical results. The effects on various subjects of interest are discussed and shown graphically. Comparisons are made with the corresponding results in absence of surface stress

Propagation of SH waves in a regular non-homogeneous monoclinic crustal layer lying over a non-homogeneous semi-infinite medium

This study discusses the dispersion equation for SH waves in a non-homogeneous monoclinic layer over a semi-infinite isotropic medium. The wave velocity equation has been obtained. In the isotropic case, when the non-homogeneity is absent, the dispersion equation reduces to a standard SH wave equation. The dispersion curves are depicted by means of graphs for different values of non-homogeneity parameters for the layer and semi-infinite medium.

Propagation of SH waves in an regular non homogeneous monoclinic crustal layer lying over a non-homogeneous semi-infinite medium

The present paper discusses the dispersion equation for SH waves in a non-homogeneous monoclinic layer over a semi infinite isotropic medium. The wave velocity equation has been obtained. In the isotropic case, when non-homogeneity is absent, the dispersion equation reduces to the standard SH wave equation. The dispersion curves are depicted by means of graphs for different values of non-homogeneity parameters for the layer and semi-infinite medium.

Dispersion of Love Waves in a Composite Layer Resting on Monoclinic Half-Space

Dispersion of Love waves is studied in a fibre-reinforced layer resting on monoclinic half-space. The wave velocity equation has been obtained for a fiber-reinforced layer resting on monoclinic half space. Shear wave velocity ratio curve for Love waves has been shown graphically for fibre reinforced material layer resting on various monoclinic half-spaces. In a similar way, shear wave velocity ratio curve for Love waves has been plotted for an isotropic layer resting on various monoclinic half-spaces. From these curves, it has been observed that the curves are of similar type for a fibre reinforced layer resting on monoclinic half-spaces, and the shear wave velocity ratio ranges from 1.14 to 7.19, whereas for the case isotropic layer, this range varies from 1.0 to 2.19.

Reply by author to R. J. S. Brown and J. Korringa

The author wishes to express his appreciation to Dr. Brown and Dr. Korringa for their interest in this paper and critical review of certain portions. Their discussion involves two aspects, namely (1) incorrect use of an approximate P‐wave velocity equation given by Geertsma (1961) as derived by Geertsma and Smit (1961) from Biot (1956), and (2) misidentification of the grain (solid) compressibility in derivation of an equation for the static frame compressibility.