Response of Fractional Ordered Magneto-Micropolar Thermoviscoelastic Half- Space Due To Hall Current And Rotation Under Ramp-Type Heating
Keywords:
Micropolar thermoelasticity, Fractional order derivative, Hall Current, Ramp-Type Heating, Integral transforms.Abstract
Purpose-Present work is concerned with the response of magneto- micropolar viscoelastic half space due to the combined effects of hall current and rotation whose surface exposed to a ramp-type heating in the context of fractional order theory of thermoelasticity.
Design/methodology/approach- The fractional generalization of Lord-Shulman theory has been used to investigate the problem. Analytical-numerical technique based upon Laplace and Fourier transform has been employed to solve the resulting non–dimensional coupled field equations.
Findings-Expressions for stresses, displacement and temperature are obtained in the physical domain using numerical inversion technique. Numerical computed results are depicted graphically to illustrate the effects of hall current, rotation, ramp parameter and fractional parameterand comparisons of physical quantities are shown in the presence and absence of viscous nature of the half space.Some particular cases of interest are also deduced from the present study
