Advanced sintering techniques, distinguished from traditional methods by implementing treatments beyond heat or pressure, have recently gained attention for their efficiency, rapid heating/cooling capabilities, and precise shaping capabilities. The phase-field model has demonstrated its effectiveness in elucidating the in-process evolution of complex structures, taking into account factors such as heat conduction and surface melting [1, 2]. Nonetheless, as a type of diffuse-interface approach, these models utilize a finite interface width to represent transient microstructures. To ensure their quantitative accuracy, they must be asymptotically aligned with their corresponding sharp-interface equations.

In this presentation, we introduce the phase-field framework in advanced sintering considering the existence of local temperature field. We incorporate the Onsager phenomenological relations for non-equilibrium processes directly into the development of our non-isothermal phase-field model. This inclusion introduces additional kinetic terms that elucidate the interplay between mass and heat transfer as well as grain growth [2, 3]. Moreover, we have integrated aspects such as trapping effects and surface diffusion into the variational framework [4]. Our phase-field sintering models have been applied to various advanced sintering techniques, encompassing selective laser sintering, field-assisted sintering, and blacklight sintering.

[1] Y. Yang, npj Comput. Mater, 2019, 5, 81.
[2] Y. Yang, Scr. Mater., 2020, 186, 152.
[3] Y. Yang, *Scr. Mater.*, **2022**, *212*, 114537
[4] T. D. Oyedeji, Phys. Rev. E, 2023, 108, 025301.