Plane waves in a micropolar fibre-reinforced solid and liquid interface for non-insulated boundary under magneto-thermo-elasticity

Document Type : Research Paper

Authors

1 GST-Mathematics Division, Veritas University Abuja, Bwari-Abuja, Nigeria

2 Department of Mathematics,COMSATS University Islamabad, Park Road Chak Shahzad, 44000 Islamabad, Pakistan

Abstract

This work is centered on propagation, reflection and transmission of waves in a micropolar fibre reinforced thermo-elastic solid and inviscid liquid interface in the presence of magnetic fields. Green and Lindsay thermo-elastic theory is utilized for non-insulated boundary of the solid media. P-wave incident at joint surface of the micropolar fibre reinforced thermo-elastic solid-liquid media in the presence of magnetic field produces four coupled reflected waves; quasi-longitudinal displacement (qLD), quasi-transverse displacement (qTD), quasi-transverse microrotational (qTM) and quasi-thermal (qT) wave, and two waves transmitted through the inviscid liquid medium; quasi-Longitudinal transmitted (qLT) and quasi-thermal transmitted (qTT) waves. Harmonic solution method is employed in conjunction with Snell’s laws cum Maxwell’s equation governing electromagnetic fields in the formulations and determination of solution to the micropolar fibre-reinforced solid/liquid modeled problem. Reflection and Transmission coefficients which correspond to reflected waves are presented analytically and graphically via numerical computations for a particular chosen material using Mathematica Software. Magnetic and thermal relaxation times field parameters have varied degree of effects to the propagation, reflection and transmission of waves in the media as observed. The study would be helpful in understanding the behavior of propagation, reflection and transmission of waves in micropolar fibre-reinforecd magneto- thermo-elastic-acoustic machination fields in solid/liquid interface and future works on the behavior of seismic waves, resulting in fluid interaction especially in geotechnical, physics, amongst others.

Keywords

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Volume 53, Issue 2
June 2022
Pages 204-218
  • Receive Date: 15 April 2022
  • Revise Date: 07 May 2022
  • Accept Date: 10 May 2022
  • First Publish Date: 13 May 2022