A Problem in the Theory of Moore-Gibson-Thompson Thermoelasticy for a Slim Strip Subjected to a Moving Heat Source

This study investigates the thermoelastic response of a thin, slim strip subjected to a moving heat source using the Moore-Gibson-Thompson (MGT) theory of thermoelasticity. The novelty of this work lies in the application of the MGT theory to analyze the influence of heat source velocity on the mechanical and thermal behavior of the strip, providing a more comprehensive understanding of wave propagation in thermoelastic materials. The primary objective is to examine the effects of different thermoelastic theories on displacement, stress distribution, and temperature variations induced by the moving heat source. To achieve this, the coupled thermoelastic governing equations are formulated and solved analytically using the Laplace transformation technique. The numerical inversion of the Laplace transform is then applied to obtain time-domain solutions, and the results are presented graphically. The findings demonstrate that the velocity of the moving heat source has a significant impact on the distribution of the main physical fields, influencing thermoelastic wave propagation. The study provides deeper insight into the behavior of thermoelastic materials subjected to dynamic thermal loads, which is crucial for applications in high-speed manufacturing, aerospace engineering, and thermal stress analysis in thin-walled structures.