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Love waves in fiber-reinforced layer imperfectly bonded to microstructural couple stress substrate

Sharma Vishal, Sharma Vikas

Journal of Theoretical and Applied Mechanics

2020

Vol. 58 nr 1

221--232

Interior of the Earth is quite complex and it shows many heterogeneities in the form of microstructures. It is difficult to model the Earth in mathematical formulation of a problem, yet it is always desirable that the proposed model should be the nearest approximation of the Earth. In this paper, Love waves are investigated, using a new geometrical configuration which consists of a finite thicker fiber-reinforced layer lying over a couple stress half-space having internal microstructures. The two media are assumed to be imperfectly bonded to each other at the interface. Dispersion and damping equations are derived for the propagation of Love waves in the considered model. The impact of various parameters like imperfectness at the interfacial surface, thickness of the layer, characteristic length parameter of the halfspace, direction of reinforcement are studied on the phase and damping velocities of Love waves.

Reflection of waves in initially stressed transversely isotropic fibre-reinforced thermoelastic medium

Gupta R. R., Gupta R. R.

International Journal of Applied Mechanics and Engineering

2013

Vol. 18, no. 3

671--685

The present investigation deals with the reflection of plane periodic waves incident at the surface of a homogeneous initially stressed transversely isotropic fibrereinforced thermoelastic medium. The wave equations are solved by imposing proper conditions on displacements, stresses and temperature distribution. Numerically simulated results have been depicted graphically for different angles of incidence with respect to frequency. Some special cases of interest have also been deduced from the present investigation.