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Jyoti Arora ¹

Affiliations
1 Department of Mathematics, Singhania University, Rajasthan, IN

Abstract

The branch of mechanics which deals with the study of deformation and motion of continuous bodies is known as continuum mechanics. Wave is a mode of energy transfer from one place to another, in a medium, often with little or no permanent displacement of the particles of the medium, i.e., little or no associated mass transport; instead there are oscillations around almost fixed positions. The mechanical waves require a medium to travel, while the electromagnetic waves can travel through vacuum. It is interesting to note that all wave motions have two important characteristics in common. First, energy is propagated to distant point and second, the disturbance travels through the medium without giving the medium, as a whole, any permanent displacement. Each successive particle of the medium performs a motion similar to its predecessors but later in time and returns to its origin. In the present paper some problems on wave propagation are studied in anisotropic dissipative medium with rotation and initial stresses.

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Jyoti Arora ¹, Renu ²

Affiliations
1 Research Scholar, Department of Mathematics, Singhania University, Rajasthan, IN
2 Research Scholar, Department of Mathematics, Singhania University, Rajasthan

Abstract

The governing equations of an initially stressed transversely isotropic dissipative solid half-space are solved for surface wave solutions. The appropriate solutions in the half-space are applied to the required boundary conditions at the free surface of the half-space. The frequency equation of the Rayleigh wave is derived. Frequency equation of the Rayleigh wave is also obtained in some limiting cases.

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Renu ¹, Sadhu Ram ¹, Jyoti Arora ¹

Affiliations
1 Research Scholar, Department of Mathematics, Singhania University, Pacheri Bari, Jhunjhunu, Rajasthan, IN

Abstract

These papers describe the various approaches and suggestions which may be proved heipful in rearrangement of available resources. It also uncovers the different opportunity not only for best utilization of resources for the surface waves but also for the establishment of new more efficient information about seismology. In the present paper, some problem on surface wave propagation is studied in an anisotropic media.

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