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Electromagnetic field and three‐phase lag in a compressed rotating isotropic homogeneous micropolar thermo‐viscoelastic half‐space

Fatimah S. Bayones, S. M. Abo‐Dahab, A. M. Abd-Alla, A. A. Kilany

2021Mathematical Methods in the Applied Sciences20 citationsDOI

Abstract

Using a thermal shock of the ramp type, the authors constructed a unique mathematical three‐phase‐lag scheme in a compressed rotating isotropic homogeneous micropolar thermo‐viscoelastic medium. The model is applied to solve an issue of an exactly performing half‐space exposed to defined boundary circumstances with an electromagnetic field. Normal mode analysis and Lame's potentials methods were used to obtain the analytical answers. The authors were interested in studying the effect of the initial stress, ramp time, magnetic field, and rotation on distributing, displacement, temperature, and stress, as well as induced electric and magnetic distribution. The findings showed that the impact of the viscous, ramp parameter, rotation, phase lag, magnetic field, and initial stress on the micropolar thermo‐viscoelastic medium is distinct.

Topics & Concepts

ViscoelasticityIsotropyRotation (mathematics)MathematicsMechanicsPhase (matter)Magnetic fieldMathematical analysisField (mathematics)Boundary value problemHalf-spaceStress (linguistics)Electromagnetic fieldClassical mechanicsPhysicsGeometryThermodynamicsOpticsPhilosophyPure mathematicsLinguisticsQuantum mechanicsThermoelastic and Magnetoelastic PhenomenaNonlocal and gradient elasticity in micro/nano structuresNumerical methods in engineering