Abstract
In this study, we propose a novel thermoviscoelastic model that integrates nonlocal elasticity theory with the Kelvin-Voigt viscoelastic model and Klein-Gordon-type nonlocal elasticity. This model captures both internal length and time-scale effects, which are crucial for accurate thermoelastic analysis. The dual-phase lag model of thermal conduction is employed to address microstructural effects and material deficiencies associated with high-rate heat transfer. The research focuses on a one-dimensional thermoelastic problem in a half-space subjected to an instantaneous inline heat source, a scenario that poses significant challenges due to its rapid thermal dynamics. Analytical solutions for temperature, displacement, and stress fields are derived using the eigenvalue approach and Laplace transform method. These solutions are then inverted into the time domain using Zakian's algorithm, providing precise results for the dynamic thermal response. The results reveal that nonlocal effects play a critical role in the behavior of thermo-viscoelastic materials, especially at the nanoscale. These effects, introduced through spatial nonlocality and temporal nonlocality, account for size-dependent interactions and memory effects. The combined effects of spatial and temporal nonlocality significantly improve the accuracy of thermoelastic models, making them suitable for nano- and micro-scale applications where size-dependent effects and wave propagation dominate. Furthermore, nonlocal thermoviscoelastic models produce smoother and lower-amplitude fields, effectively distributing heat and stress over a broader spatial domain. This reduces the sharp gradients characteristic of local models, making nonlocal frameworks particularly valuable for applications requiring enhanced stability and accuracy in response prediction.
NETL
NSTL
Springer Nature