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Coupled Systems Mechanics
  Volume 12, Number 2, April 2023 , pages 103-125
DOI: https://doi.org/10.12989/csm.2023.12.2.103
 

Plane harmonic waves in fractional orthotropic magneto-thermoelastic solid with rotation and two-temperature
Himanshi and Parveen Lata

 
Abstract
    The present research is focused on the study of plane harmonic waves in a two-dimensional orthotropic magneto-thermoelastic media with fractional order theory of generalized thermoelasticity in the light of twotemperature and rotation due to time harmonic sources. Here, we studied three types of waves namely quasilongitudinal (QL), quasi-transverse (QTS) and quasi thermal (QT) waves. The variations in the wave properties such as phase velocity, attenuation coefficient and specific loss have been noticed with respect to frequency for the reflected waves. Further the value of amplitude ratios, energy ratios and penetration depth are computed numerically with respect to angle of incidence. The numerical simulated results are presented graphically to show the effect of fractional parameter based on its conductivity (0 
Key Words
    amplitude ratios; attenuation coefficient; energy ratios; fractional order; frequency; harmonic plane waves; orthotropic medium; penetration depth; phase velocity; rotation; specific loss; three-phase lags
 
Address
Himanshi and Parveen Lata: Department of Mathematics, Punjabi University, Patiala, Punjab, India
 

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