Dynamic Thermoelastic Characteristics of a Solid Cylinder with Voids: Integrating Higher-Order Time-Derivatives and a Spatio-temporal Klein–Gordon Approach
摘要
This study presents a theoretical framework to analyze the dynamic thermoelastic response of a solid cylinder containing microscopicvoids under a sudden thermal shock at its lateral surface. The core contribution is a unified model that integrates higher-order time-derivative heat conduction with spatio-temporal Klein-Gordon nonlocal elasticity in a porous medium. This new formulation simultaneously captures three key phenomena: the wave-like nature of thermal propagation, the material’s intrinsic microstructural effects via a characteristic length scale and a temporalinertia parameter, and the active role of voids as a dynamic internal variable.
MethodsTo obtain precise time-domain solutions, the governing equations are solved using a rigorous hybrid methodology that combines analytical techniques in the Laplace transform domain with efficient numerical inversion.
ResultsThe key finding is that microscopic voids act as a powerful internal damping mechanism. Their presence and concentration substantially reduce temperature, displacement, and stress magnitudes throughout the cylinder, resulting in a noticeably smoother and more attenuated wave propagation. This enhanced damping behavior, predicted uniquely by the proposed model, offers critical insights for the engineering design of advanced lightweight porous materials.
ConclusionThese findings may inform the design of high-performance components where thermal shock resilience is important, such as in aerospace, automotive, nuclear, and biomedical fields.