Abstract
The problem of reflection and refraction ofSH-waves at a plane interface between the homogeneous and inhomogeneous fibre-reinforced elastic half-spaces has been investigated. Amplitude and energy ratios corresponding to the reflected and refractedSH-waves are derived using appropriate boundary conditions. These ratios are computed numerically for a particular model and the results are depicted graphically.
Highlights
Fibre-reinforced composite material with the reinforcement distributed continuously in concentric circles is a locally transversely isotropic material, with the circumferential direction as the preferred direction coinciding with fibres directions
Sengupta and Nath [3] studied the problem of surface waves in fibre-reinforced anisotropic elastic media and derived the frequency equation for surface wave
Singh [6] studied the problem of propagation of plane waves in thermally conducting linear fibre-reinforced composite materials and derived the frequency equation
Summary
Fibre-reinforced composite material with the reinforcement distributed continuously in concentric circles is a locally transversely isotropic material, with the circumferential direction as the preferred direction coinciding with fibres directions. J. Singh [5] discussed the problem of reflection of plane waves at the free surface of a fibrereinforced elastic half-space and obtained the closed form expression of the amplitude ratios for reflected qSV and qP waves at the free surface of a fibre-reinforced, anisotropic, homogeneous, elastic half-space. Singh [6] studied the problem of propagation of plane waves in thermally conducting linear fibre-reinforced composite materials and derived the frequency equation. Singh and Zorammuana [8] solved the problem of incident longitudinal wave at a fibre-reinforced thermoelastic halfspace and obtained the amplitude and energy ratios of the reflected waves. Chattopadhyay and Singh [13] studied the problem of G-type seismic waves in fibre-reinforced media and obtained the dispersion equation for the propagation of G-type seismic wave in fibre-reinforced layer lying over an inhomogeneous fibre-reinforced elastic half-space.
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