Sandwich structure panel subjected to thermal loading using fractional order equation of motion and moving heat source

Abstract

The present work studies the thermoelastic behaviour of a model for a layered thin plate called sandwich structure subjected to a thermal shock wave in light of the generalized thermoelasticity theory using fractional order equation of motion in the presence of a moving heat source. The governing equations are solved using Laplace transform. To obtain the different inverse field functions numerically, we used a complex inversion formula of Laplace transform based on Fourier expansion. The effect of different parameters; namely, the speed, the strength of the heat source, fractional order and time on the thermodynamical temperature, stress, and strain distribution, are discussed and presented graphically. Comparison with previous work in the context of the theory of generalized thermoelasticity shows that the present model is more reliable than the previous. The present model removes the points of discontinuity present in the stress and temperature distributions in the previous model. In the present model we found that the middle layer was affected slightly by some of these parameters. The other new results are discussed.