I Simposio de Postgrado 2023. Ingeniería, ciencias e innovación

MÓDULO_ 06 Ingeniería Mecánica y Fluidodinámica 126 PHASE-FIELD MODEL FOR SURFACE DIFFUSION IN ANISOTROPIC CRYSTALS ABSTRACT Understanding the properties of materials requires a compre- hensive knowledge of their microstructure and its temporal evolution. Within this evolution, which concerns crystallization processes in the context of this study, the interaction between different phases plays a crucial role. As such, this study inves- tigates the phenomenon of surface diffusion between phases to gain insights into its implications and effects. For this purpose, a computational model was developed to simu- late the microstructure evolution while considering the interac- tion between phases.The latter was accomplished using a recent Phase Fieldmodel, which is based on a systemof out-of-equilib- rium thermodynamic equations and extends to include surface diffusion and anisotropic energy. Phase growth was successfully described for variations in chem- ical potential and relaxation time on the one-dimensional case, qualitatively validating the consistency of the model with exist- ing theory. In addition, critical radius values for phase growth on a circular two-dimensional phase were obtained through simulation, which agreed with previous theoretical results. Subsequently, surface diffusion and anisotropy phenomena were later included. The resulting simulations showed the in- terface geometry for a square and a sinusoidal interface on the two-dimensional case (Figure 1). Physics e-field Model for surface diffusion in anisotropic crystals Carla Rospigliossi 1* , Mathis Plapp 2 , Thomas Philippe , 2 Engineering Department, University of Chile, Beauchef Ave. 851, Santiago, Chile. y of Condensed Matter Physics (PMC), École Polytechnique, National Centre for Scientific Research (CNRS), 91128 Palaiseau, France. *Email: carla.rospigliossi@ug.uchile.cl the properties of materials requires a comprehensive knowledge of their and its temporal evolution. Within this evolution, which concerns crystallization e context of this study, the interaction between different phases plays a crucial role. study investigates the phenomenon of surface diffusion between phases to gain implications and effects. se, a computational model was developed to simulate the microstructure evolution ng the interaction between phases. The latter was accomplished using a recent Phase which is based on a system of out-of-equilibrium thermodynamic equations and ude surface diffusion and anisotropic energy. was successfully described for variations in chemical potential and relaxation time on ional case, qualitatively validating the consistency of the model with existing theory. itical radius values for phase growth on a circular two-dimensional phase were h simulation, which agreed with previous theoretical results. surface diffusion and anisotropy phenomena were later included. The resulting owed the interface geometry for a square and a sinusoidal interface on the two- se (Figure 1). (a) (b) nergy profile for surface diffusion on anisotropic and biphasic crystal (sinusoidal interphase case): (a) Initial state at t=0s, (b) Evolved state at t=4s. n.d.). Phase-field Models. Physique de la Matière Condensée, École Polytechnique, Palaiseau, France. ogge, A. Mukherjee, E. S. Nani, P. G. Kubendran Amos, F. Wang, D. Schneider, B. Rev. E 103, 033307 (2021). Physics field Model for surface diffusion in anisotropic crystals Carla Rospigliossi 1* , Mathis Plapp 2 , Thomas Philippe , 2 ngineering Department, University of Chile, Beauchef Ave. 851, Santiago, Chile. f Condensed Matter Physics (PMC), École Polytechnique, National Centre for Scientific Research (CNRS), 91128 Palaiseau, France. *Email: carla.rospigliossi@ug.uchile.cl he properties of materials requires a comprehensive knowledge of their d its temporal evolution. Within this evolution, which concerns crystallization ontext of this study, the interaction between different phases plays a crucial role. dy investigates the phenomenon of surface diffusion between phases to gain mplications and effects. a computational model was developed to simulate the microstructure evolution the interaction between phases. The latter was accomplished using a recent Phase ch is based on a system of out-of-equilibrium thermodynamic equations and surface diffusion and anisotropic energy. successfully described for variations in chemical potential and relaxation time on nal case, qualitatively validating the consi tency of the model with existing theory. cal radius values for phase growth on a circular two-dimensional phase ere simulation, which agreed with previous theoretical results. face diffusion and anisotropy phenomena were later included. The resultin ed the interface geometry for a square and a sinusoidal interface on the tw - (Figure 1). (a) (b) rgy profile for surface diffusion on anisotropic and biphasic crystal (sinusoidal interphase case): (a) Initial state at t=0s, (b) Evolved state at t=4s. .). Phase-field Models. Physique de la Matière Condensée, École Polytechnique, aiseau, France. ge, A. Mukherjee, E. S. Nani, P. G. Kubendran Amos, F. Wang, D. Schneider, B. v. E 103, 033307 (2021). 1 Mechanical Engineering Department, University of Chile. 2 Laboratory of Condensed Matter Physics (PMC), École Polytechnique, National Centre for Scientific Research (CNRS), 91128 Palaiseau, France. *Email: carla.rospigliossi@ug.uchile.cl Carla Rospigliossi 1* , Mathis Plapp 2 , Thomas Philippe 2 REFERENCIAS [1] M. Plapp (n.d.). Phase-field Models. Physique de la Matière Condensée, École Polytechnique, CNRS. 91128 Palaiseau, France. [2] P.W. Hoffrogge, A. Mukherjee, E. S. Nani, P. G. Kubendran Amos, F. Wang, D. Schneider, B. Nestrler, Phys. Rev. E 103, 033307 (2021). Figure 1: Free energy profile for surface diffusion on anisotropic and biphasic crystal (sinusoidal interphase case): (a) Initial state at t=0s, (b) Evolved stat at t=4s. a) b)