The effects of introducing elasticity using different interpolation schemes to the grand potential phase field model

Modeling intercalation in cathode materials with phase-field methods: Assumptions and implications using the example of LiFePO4

“…assuming linear interpolation of stiffnesses C eff = C α φ α and linear interpolation of eigenstrains ε * = ε * α φ α . A discussion regarding this choice of interpolation coupled with chemcial driving forces can be found in [51,52].…”

Study on optimal arc trajectory planning of robot based on artificial life system

“…If it can not find this kind of resource, it will move randomly in the neighborhood. In order to keep the artificial biology with higher fitness to the full, the artificial biology with higher fitness can obtain less energy during the procession of moving randomly 9 .…”

Investigation of δ zirconium hydride morphology in a single crystal using quantitative phase field simulations supported by experiments

“…This decoupling allows for the interfacial length to be defined independently from the bulk and interfacial energy, thus resulting in lower computational costs than the approach developed by Wheeler, Boettinger, and McFadden (WBM model) [60]. The grand potential formulation is another approach that defines the interfacial thickness independently of the bulk and interfacial free energies [61][62][63][64][65][66][67][68][69][70]. However, the grand potential model requires more restrictive assumptions and makes modeling the impact of lattice strain on hydrogen diffusion challenging [70], which is a critical mechanism in the behavior of hydrogen in zirconium alloys.…”

“…The grand potential formulation is another approach that defines the interfacial thickness independently of the bulk and interfacial free energies [61][62][63][64][65][66][67][68][69][70]. However, the grand potential model requires more restrictive assumptions and makes modeling the impact of lattice strain on hydrogen diffusion challenging [70], which is a critical mechanism in the behavior of hydrogen in zirconium alloys. Because of its lower computational costs and higher versatility, the KKS model was chosen to model the microstructure evolution of the α-Zr/δ-ZrH system.…”