Generation of Love Wave in a Media with Temperature Dependent Properties Over a Heterogeneous Substratum

Subject Areas : Engineering

S Gupta ¹ , P Pati ² , B Prasad ³

1 - Department of Applied Mathematics, Indian Institute of Technology (Indian School of Mines), Dhanbad, India
2 - Department of Applied Mathematics, Indian Institute of Technology (Indian School of Mines), Dhanbad, India
3 - Department of Applied Mathematics, Indian Institute of Technology (Indian School of Mines), Dhanbad, India

Received: 2019-05-28 Accepted : 2019-07-02 Published : 2019-09-30

Keywords: Initial-stress, Heterogeneity, Temperature-dependent properties, Love waves,

Abstract :

The present paper deals with the generation of Love waves in a layer of finite thickness over an initially stressed heterogeneous semi-infinite media. The rigidity and density of the layer are functions of temperature, i.e. they are temperature dependent. The lower substratum is an initially stressed medium and its rigidity and density vary linearly with the depth. The frequency relation of Love waves has been acquired in compact form. Numerical calculations are accomplished and a number of graphs for non-dimensional phase velocity versus non-dimensional wave number are plotted to display the influence of intrinsic parameters like initial stress and inhomogeneity factors on the generation of Love waves. It is initiated that the non-dimensional phase velocity of Love wave decreases with increase in the non-dimensional wave number and is strongly influenced by the initial stress of the substratum and the inhomogeneity factors of the layer and the substratum. This study may provide effective information in the field of industrial engineering, civil engineering as well as geophysics and seismology.

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