In this book, an investigation has been made for
mathematical modelling: magneto-thermoelastic waves' propagation and some
applications in diverse fields as acoustics, aerospace, astronomy, geophysics,
earthquakes, volcanoes, engineering and others. The fundamental and basic
concepts and equations presented for the electro-thermoelasticity with external
effects as gravity, rotation, initial stress and hydrostatic initial stress, as
well as two-temperature, voids, diffusion, semiconducting, thermal relaxation
times and thermal shock. The dissertation work reported here is originally
motivated by several connections between elasticity, thermal field,
electromagnetic field, rotation, initial stress, voids, photothermal,
semiconducting, and diffusion. The effect of rotation, electromagnetic field,
voids, diffusion, semiconducting, and thermal relaxation time will be studied
on the waves' propagation (i.e., either waves' propagation "reflection
and/or refraction" or "surface waves: Stoneley, Love, and
Rayleigh"). Due to the coupling of the equation of motion, heat equation,
and void equation in the context of generalised magneto-thermoelasticity, the
work done in this field is unfortunately limited in number. The secular
equation, Stoneley waves' velocity and attenuation coefficients are affected by
the external parameters, such as the magnetic field, rotation, voids, and
relaxation time. The finite difference technique under the effectiveness of
rotation and decayed heat flux on the obtained components was graphically
drawn. Numerical results of the problems solved are displayed by sample graphs.
Author(s) Details
Professor Elsayed
Mohamed Abo-Dahab Khedary
Mathematics Department, Faculty of Science, South Valley University, Qena,
83523, Egypt.
Please see the book here:- https://doi.org/10.9734/bpi/mono/978-81-989994-3-6
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