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Propagation of the torsional wave in an irregular self-reinforced composite material bounded between two half-spaces

Gupta Shishir, Das Sandip Kumar

Journal of Theoretical and Applied Mechanics

2020

Vol. 58 nr 4

971--982

This research article is concerned with the analytical assessment and mathematical modelling to unveil the characteristic of a torsional wave in the irregular Earth’s crustal stratum. This investigation has been performed to clarify of possible occurrence of the torsional wave in an irregular self-reinforced composite layer bonded between dry sandy media and an isotropic elastic half-space. Rectangular and parabolic irregularities have been assumed at the interface of the intermediate layer and the lower half-space. In order to acquire the required dispersion equation, the appropriate boundary conditions with the assistance of displacement and stress components have been well satisfied. The effects of different affecting parameters such as reinforcement, sandiness, initial stress and irregularity parameters have been explored and explained by suitable graphs. Moreover, a comparative study has also been accomplished graphically for rectangular, parabolic, and no irregularities.

Propagation of torsional surface waves in a nonhomogeneous half-space with circular irregularity in free surface

Sethi M., Sharma A. K., Sharma A.

International Journal of Applied Mechanics and Engineering

2018

Vol. 23, no. 4

929--939

The present paper studies the effect of circular regularity on propagation of torsional surface waves in an elastic non-homogeneous half-space. Both rigidity and density of the half-space are assumed to vary inversely linearly with depth. Separation of variable method has been used to get the analytical solutions for the dispersion equation of the torsional surface waves. Also, the effects of non-homogeneity and irregularity on the phase velocity of torsional surface waves have shown graphically.