Analysis of transitional stresses in non-local thermo-elastic disc under steady state temperature

Abstract

In solid mechanics, there are various applications of non-local theories in wave propagation, size effects, surface effects, and understanding interactions of composite materials. There are certain parameters associated with rigid bodies like stress, angular speed, and displacement which show variation with changes in temperature, thickness, density, and media. This study focuses on the evaluation of stresses, angular speed, and displacement that occur in elastic thin rotating discs. The use of local theories only investigates the effect of stress at a point that occurred due to strain at the same point. However using the non-local approach, the variation in the stresses at distant points in a material can be analyzed. This would be a significant work to understand the microstructural material characteristics. Hence this study focuses on providing a more accurate stress model for non-local thin rotating discs. The developed model for rubber, copper, and aluminum material discs is tested, to investigate the above parameters in non-local media. Further, the graphical analysis of angular speed, stresses, and displacement have been shown separately by taking k=0 and k≠0 in non-local media.

Keywords

• rotation
• disc
• non-local media
• temperature variation
• angular speed