Thermal strain and stress analyses of a micro scale dependent structure as an aerobic sport plate

This research investigates thermal stress and deformation behavior in a vertically compressed shear-flexible microplate designed for aerobic fitness applications using a nonlocal continuum framework and virtual displacement principles. The developed analytical framework serves as a functional model for optimizing exercise equipment design. Three-dimensional material relationships are established through fundamental elasticity principles, incorporating thermally induced deformations caused by vertical thermal gradients. Following resolution of the governing equations via a series expansion method, comprehensive parameter evaluations assess how temperature variations and microscale effects influence structural responses. Computational outcomes illustrate correlations between thermal loading profiles, material length parameters, and mechanical performance metrics. Practical implications of this model relate to enhancing biomechanical efficiency in athletic training apparatus through tailored microstructural adaptations.