Abstract
In the present study, a novel mathematical model of magneto–thermoelasticity has been formulated to investigate the transient phenomena for a fibre–reinforced anisotropic thick plate having a heat source in the context of Green–Naghdi theory of thermoelasticity. The upper surface of the plate is free of traction having a prescribed surface temperature while the lower surface rests in a rigid foundation and is thermally insulated. Employing Laplace and Fourier transforms as tools, the problem has been solved analytically and the inversion of the Laplace–Fourier double transform is carried out using suitable numerical techniques. According to the graphical representations corresponding to the numerical results, conclusions about the new theory have been constructed. Excellent predictive capability is demonstrated due to the influence of the magnetic field and the presence of reinforcement also.
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