This research investigates the effects of the thickness parameter (m) on the mechanical behavior of rotating cylinders composed of isotropic materials under non-local media, subjected to varying strain-hardening indices and thermal conditions. The study systematically explores how variations in thickness, angular speed, and material properties influence the distributions of stress, displacement, and strain rate in a cylinder under diverse thermal and strain boundary conditions.
The analysis is carried out using B.R. Seth’s transition theory. Governing equations for radial, circumferential, and axial stresses and strain rates are derived in the context of non-local elasticity. Numerical solutions are obtained under varying strain-hardening indices, thermal gradients, and angular velocities. Results are graphically visualized using MATLAB.
The results reveal a significant sensitivity of stress and strain distributions to changes in thickness and strain-hardening indices, especially under high thermal gradients and angular speeds. Non-local effects are accurately prominent in predicting mechanical behavior, highlighting deviations from classical local elasticity models.
The model assumes steady-state conditions and ideal material isotropy, which may limit its direct application to real-world engineering systems with more complex behaviors. Future research could include anisotropic materials, transient loading, or viscoelastic effects to improve realism. Despite these limitations, the framework offers a useful foundation for extending non-local theories to other geometries and applications, encouraging further investigation into materials and structures exposed to harsh thermal and rotational environments.
The findings provide practical guidance for engineers in selecting appropriate material properties and geometrical configurations for rotating components in aerospace, automotive, and energy applications under complex thermal and mechanical environments.
The findings from this study can help engineers design safer and longer-lasting components for important industries like aerospace, power generation, and transportation. By using non-local elasticity to better understand how materials behave under high-speed and high-temperature conditions, the research helps reduce the chances of mechanical failures’ ultimately improving safety for people and systems that rely on rotating machinery. In addition, using models like B.R. Seth’s transition theory can lead to smarter use of materials, cutting down on waste and energy use during production. These improvements contribute to a more sustainable, efficient, and reliable engineering future.
This work integrates non-local elasticity theory with B.R. Seth’s transition framework to analyze rotating cylinders under thermo-mechanical loading. The study demonstrates the inadequacy of local theories in certain conditions and supports the use of non-local models for more accurate and reliable engineering design.
