Propagation and reflection of magneto-elastic plane waves at the free surface of a rotating micropolar fibre-reinforced medium with voids

Anya, Augustine Igwebuike; Khan, Asad

doi:10.15632/jtam-pl/112066

Cited by 6 publications

(3 citation statements)

References 18 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…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]).…”

Section: Introductionmentioning

confidence: 99%

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

Anya,

Nwachioma,

Ali

2023

International Journal of Applied Mechanics and Engineering

View full text Add to dashboard Cite

Investigation on the Mathematical modeling of waves in a rotating grooved and impedance boundary of a non-homogeneous fibre-reinforced solid half‐space under the influence of magnetic field and mechanical force is envisaged. We derived analytically, the dynamical equations for the rotating grooved and impedance boundary of the non-homogeneous fibre-reinforced solid under the influence of magnetic fields and mechanical force. Harmonic solution method of wave analysis is utilized. This is such that the component of displacements and stresses are developed and studied after employing dimensionless parameters in the equations of motion. Numerical computations are presented in graphical form by using Mathematica Software for a particular chosen material. We observed that the combined grooved, magnetic fields, impedance boundary etc. physical parameters, have remarkable effects on the material. A decrease in horizontal impedance yielded maximum amplitudes of displacements and stresses of the waves on the fibre-reinforced medium. The mechanical force and rotation of the medium induced increased behaviors to the amplitudes of displacement and stress components of the wave on the solid medium. Thus, this work should be of great importance in studies involving seismology and seismic Mechatronics solution for stress-wave generation in non-homogeneous materials.

show abstract

Section: Introductionmentioning

confidence: 99%

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

Anya,

Nwachioma,

Ali

2023

International Journal of Applied Mechanics and Engineering

View full text Add to dashboard Cite

show abstract

“…The eigenvalue approach provides the exact solution in the Laplace domain without any assumed restrictions on the actual physical variables. Several studies, including [29][30][31][32][33][34][35][36][37][38][39][40], were conducted using different genialized thermoelastic theories.…”

Section: Introductionmentioning

confidence: 99%

Generalized Thermoelastic Interaction in a Half-Space under a Nonlocal Thermoelastic Model

et al. 2022

View full text Add to dashboard Cite

In the current article, the nonlocal thermoelastic theory is used to discuss the wave propagation in unbounded thermoelastic materials. Due to the inclusion of relaxation time in thermal conduction formulation and the equations of motion, this model was developed using Lord and Shulman’s generalized thermoelastic model. The theory of the nonlocal continuum proposed by Eringen is used to obtain this model. The integral transforms of the Laplace transform methods used to generate an analytical solution for physical variables are utilized to produce the analytical solutions for the thermal stress, displacement, and temperature distribution. The effects of nonlocal parameters and relaxation time on the wave propagation distributions of physical fields for material are visually shown and explored.

show abstract

“…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].…”

Section: Introductionmentioning

confidence: 99%

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

Anya

Ofe

Khan

2022

J. Nig. Soc. Phys. Sci.

Self Cite

View full text Add to dashboard Cite

The present investigation envisages on the Mathematical modeling of waves propagating in a porous micropolar fibre-reinforced structure in a half-space and liquid interface. The harmonic method of wave analysis is utilized, such that, the reflection and transmission of waves in the media were modelled and it’s equations of motion analytically derived. It was deduced that incident longitudinal wave in the solid structure yielded four reflected waves given as; quasi–P wave (qLD), quasi–SV wave, quasi–transverse microrotational (qTM) wave and a wave due to voids and one transmitted wave known as the quasi-longitudinal transmitted (qLT) wave. The phase velocity in the liquid medium is independent of angle of propagation as observed. The corresponding amplitude ratios of propagations for both reflected and transmitted waves are analytically derived by employing Snell’s law. The model would prove to be of relevance in the understanding of modeling of the behavior of propagation phenomena of waves in micropolar fibre-reinforecd machination systems resulting in solid/liquid interfaces especially in earth sciences and in particular seismology, amongst others.

show abstract

Propagation and reflection of magneto-elastic plane waves at the free surface of a rotating micropolar fibre-reinforced medium with voids

Cited by 6 publications

References 18 publications

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

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

Generalized Thermoelastic Interaction in a Half-Space under a Nonlocal Thermoelastic Model

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

Contact Info

Product

Resources

About