Narrow Results

With the aid of the Caputo fractional derivative, this study constructs a novel mathematical model of magneto-thermoelasticity to investigate the transient phenomena for a fiber-reinforced rotating half-space under the influence of pulsed laser as heat source and inclined load in the context of refined three-phase-lag (TPL) Green–Naghdi (GN) models of generalized thermoelasticity, which is defined in an integral form of a common derivative on a slipping interval by incorporating the memory-dependent heat transfer. Together with the temperature gradient (Seebeck effect) and charge density influence, the generalized magneto-thermoelasticity model’s equations now include the modified Ohm’s law. An intense non-Gaussian laser beam heats the bounding plane’s surface. By using the normal mode analysis, the analytical expressions of the thermophysical quantities are produced in the physical domain. All physical quantities have been graphically depicted for different GN models (refined GN-II and GN-III models) to indicate the effect of memory-dependent derivative, Seebeck parameter, rotation and reinforcement of the medium under the influence of inclined load and pulsed laser.

This work aims to investigate the effects of magnetic field and inclined load on a two-dimensional thermoelastic medium under gravitational field. The problem is formulated in the context of refined dual-phase-lag Green–Naghdi (DPL GN) model. The bounding plane surface is heated by a non-Gaussian laser beam. The inclined load is supposed to be a linear combination of a normal load and a tangential load. Analytical formulas for several physical quantities are generated on the transformed domain using the Laplace and Fourier transform techniques. The inversion of double transform has been done numerically by using MATHEMTICA 10. The numerical inversion of Laplace transform is done by using the Zakian method (Halsted and Brown [Zakians technique for inverting Laplace transforms, J. Chem. Eng. 3 (1972) 312–313]). All physical quantities have been graphically depicted for the dual-phase-lag Green–Naghdi type III model (DPL GN-III), simple Green–Naghdi type III model (simple GN-III), Lord–Shulman model (LS) and classical thermoelasticity theory (CTE) to indicate the effect of magnetic field and the angle of inclination of the medium.

This study investigates the wave propagation of a two-dimensional functionally graded material (FGM) thermoelastic half-space under the influence of inclined load, gravitational force and thermal loading from a laser pulse in the context of refined three-phase-lag Green–Naghdi (GN) model. Normal mode analysis has been used to obtain the analytical expression of the physical quantities. All the outcomes of the physical quantities have been illustrated graphically to analyze the effect of non-homogeneity, angle of inclination of the inclined load and the gravitational force for different GN models (simple and refined GN-II and GN-III models).