Magneto-thermo-piezo-elastic wave in an initially stressed rotating monoclinic crystal in a two-temperature theory
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Shishu Niketan Model Senior Secondary School, Sector 22-D, Chandigarh
Online publication date: 2023-09-29
Publication date: 2023-09-29
International Journal of Applied Mechanics and Engineering 2023;28(3):127-158
This research problem is an investigation of wave propagation in a rotating initially stressed monoclinic piezoelectric thermo-elastic medium under with the effect of a magnetic field. A two-temperature generalized theory of thermo-elasticity in the context of Lord-Shulman’s theory is applied to study the waves under the magnetic field. The governing equations of a rotating initially stressed monoclinic piezoelectric thermo-elastic medium with a magnetic field are formulated. This research problem is solved analytically, for a two-dimensional model of the piezo-electric monoclinic solid, and concluded that there must be four piezo-thermoelastic waves, three coupled quasi waves (qP (quasi-P), qT (quasi-thermal), and qSV (quasi-SV)) and one piezoelectric potential (PE) wave propagating at different speeds. It is found that at least one of these waves is evanescent (an evanescent wave is a non-propagating wave that exists) and that there are therefore no more than three bulk waves. The speeds of different waves are calculated and the influence of the piezoelectric effect, two-temperature parameter, frequency, rotation, and magnetic field on phase velocity, attenuation coefficient, and specific loss is shown graphically. This model may be used in various fields, e.g. wireless communications, signal processing, and military defense equipment are all pertinent to this study.
I am thankful to Lorentz Centre, Leiden University, Leiden, Netherlands for providing me with office space and a research environment that served as an inspiration for this research work during the Workshop on Coherent Structures: Current Developments and Future Challenges from July 4-8, 2022, Lorentz Centre at Oort in Leiden, Leiden University, Leiden, The Netherlands.
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