Reflection and Propagation of Magneto-Thermoelastic Plane Waves at Free Surfaces of a Rotating Micropolar Fibre-Reinforced Medium under G-L Theory

Abstract

This article is concerned with the investigation of reflection of waves at the free surface of a rotating micropolar fibre-reinforced thermoelastic medium, in the presence of a magnetic field using Green and Lindsay theory. It is observed that when a P-wave is incident on the free surface of rotating micropolar fibre-reinforced thermoelastic medium in the presence of a magnetic field, four waves are reflected; quasi-longitudinal displacement (qLD), quasi-transverse displacement (qTD), quasi-transverse micro-rotational (qTM) and quasi-thermal waves. The normal modes method, also called the harmonic solution approach, is used simultaneously with Snell's laws and Maxwell's equation, governing electromagnetic fields, in the determination of a solution for the micropolar fibre-reinforced modelled problem. Amplitude ratios or reflection coefficients, which correspond to reflected waves in vertical and horizontal components, are presented analytically. Moreover, the reflection coefficients are presented using numerically simulated results in graphical form for a particular chosen material. We observe that the micropolar fibre-reinforced, rotation, and magneto-thermoelastic field parameters, have varied degree of effects on the propagation and reflection of waves in the medium. The study should be helpful in understanding the behaviour of propagation and reflection of rotating micropolar fibre-reinforced magneto-thermoelastic machination fields and on future works about behaviour of seismic waves.

Mathematical Analysis on Dispersion Relation of Rayleigh Wave for an Initially Stressed Magneto-Poroelastic Material with Corrugated and Impedance Boundary

“…Consequently, some authors have made contributions to this concepts of impedance and corrugated boundaries, and other related wave propagation phenomena (Singh et al, 2008(Singh et al, , 2015(Singh et al, , 2018Das et al, 1992;Abd-Alla et al 2016;Chattopadhyay et al, 1975;Roy et al, 2017;Singh et al, 2011;Gupta et al, 2014;Anya et al, 2018Anya et al, , 2020Sunita et al, 2019;Dey et al, 1977;Nunziato et al, 1979;and Puri et al, 1975), as an individual or part considerations of the interacting physical quantities rather than in combined effect as presented in this investigation. Also, Zghal et al (2021), dealt on free vibration analysis of porous beams with gradually varying mechanical properties.…”

Magnetic effects on surface waves in a rotating non-homogeneous half-space with grooved and impedance boundary characteristics

“…A grooved boundary surface could be visualized as a series of parallel furrows and ridges whose occurrence in mechanical propagation of wave results in several effects, especially across interfaces (Asano,[4]). Interestingly, some authors made contributions to this concept of corrugated boundary and other related wave propagation phenomena (Singh,; Das et al [12]; Abd-Alla et al [13]; Chattopadhyay et al [14]; Roy et al [16]; Singh et al [17]; Gupta et al [18][19]; Anya et al [20][21][22][23]; [24]; Maleki et al [24], Chowdhury et al [25]; Singh et al [26][27]; [28]; Sahu et al [28], Giovannini, [29] and Rakshit et al [30][31]).…”

Mathematical Modeling of Waves in a Porous Micropolar Fibrereinforced Structure and Liquid Interface

“…Extensive works on fiber reinforced media and reflection of waves in an elastic media with some other physical properties of rotation, gravity, thermal effects etc., were also conducted [12][13][14][15][16][17][18]. Reflections of waves in a micropolar fibre reinforced medium with other physical properties of magneto-thermoelastic effects, rotation, etc., were also carried out [19][20].…”