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Wave Propagation in an Anisotropic Elastic Media


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1 Department of Mathematics, Singhania University, Rajasthan, India
     

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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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  • Wave Propagation in an Anisotropic Elastic Media

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Authors

Jyoti Arora
Department of Mathematics, Singhania University, Rajasthan, India

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.