Accurate evaluation of material creep behaviour is essential for the reliable operation of industrial equipment. In this study, we propose a physics-based model capable of quantitatively predicting the deformation of three-dimensional polycrystalline solids due to Coble creep. The proposed model avoids non-physical assumptions commonly adopted in conventional numerical analyses and reproduces stress-induced grain boundary diffusion—the fundamental mechanism underlying Coble creep—in a physically consistent manner. This is achieved by explicitly representing the three-dimensional grain boundary network and accounting for the interaction between stress and atomic diffusion along grain boundaries. To validate the proposed model, its numerical simulation results were compared with the theoretical equation for Coble creep deformation under uniaxial loading and with the established knowledge under multiaxial loading. The model accurately reproduces the dependence of the macroscopic creep strain rate on grain size, applied stress, and temperature, consistent with the theoretical equation. Furthermore, systematic numerical simulations were conducted to investigate the effects of polycrystalline morphology, such as grain size distribution and aspect ratio, on Coble creep deformation. The results demonstrate that variations in grain size distribution and grain aspect ratio in polycrystalline morphology can lead to measurable changes in the macroscopic creep response, even under identical loading and temperature conditions. The proposed model provides a physically grounded tool for predicting Coble creep deformation of materials under arbitrary loading conditions and polycrystalline morphologies. Moreover, it elucidates the role of microstructural factors in determining material performance, thereby advancing the understanding of GB diffusion-controlled deformation mechanisms at low stresses and over extended timescales.
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