Abstract

Love waves in a pre-stressed fiber-reinforced medium lying above a monoclinic half-space have been investigated. Upper surface of fiber reinforced layer remains stress free and interface of half space and layer satisfies continuity conditions .The dispersion equation for Love waves propagation has been derived. Effect of anisotropy parameter of half space and initial stresses of reinforced layer on Love waves propagation have been observed from dispersion curves. Some particular cases have also been developed by using the dispersion equation. Further, the range of the existence of Love waves is calculated. The cut-off periods for three nodes of Love waves with variation of anisotropy parameter and compressive stress are presented in tabular form.

Highlights

  • Civil engineers,geophysicists and geologists working in reference to internal structure of earth and behavior of earth materials need to have knowledge about the motion of elastic waves in layered media of earth

  • Chattopadhyay et al.[4] studied the behaviour of SH waves in a monoclinic medium laid between two irregular elastic half-spaces using perturbation techniques

  • Singh et al.[5] presented a brief discussion on dispersive nature of Love waves in anisotropic monoclinic elastic layers

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Summary

INTRODUCTION

Civil engineers ,geophysicists and geologists working in reference to internal structure of earth and behavior of earth materials need to have knowledge about the motion of elastic waves in layered media of earth. Chattopadhyay et al.[2] described the properties of SH-waves in a monoclinic crystal medium laid on an irregular half-space. Chattopadhyay et al.[3] discussed the behavior of torsional surface waves propagation in a fiber-reinforced medium. Chattopadhyay et al.[4] studied the behaviour of SH waves in a monoclinic medium laid between two irregular elastic half-spaces using perturbation techniques. Singh et al.[5] presented a brief discussion on dispersive nature of Love waves in anisotropic monoclinic elastic layers. It has been focussed to investigate the propagation of Love waves in a fiber-reinforced layer of width H with compressive stress over a monoclinic half space. Taking equations of motion for both fiber rein-forced layer and monoclinic half-space with relevant boundary conditions, frequency equation of Love waves is derived. Cut-off periods for three nodes of Love waves with varying anisotropy parameter and compressive initial stress are presented in tabular form

GEOMETRY OF THE MODEL
RANGE OF VELOCITY
Case4: Free initial stress in upper medium
VIII. CONCLUSION
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