The simulations minimize the potential energy of the complete system via finite element formulation to identify the equilibrium configuration of any deformed state.
In order to identify the equilibrium shape of the VN precipitate, elastic strain energy of the precipitate has been estimated on the basis of microscopic theory of elasticity.
Sensitivity analyses under different constraint violation risk levels are also given, which can give the authority insights as to the tradeoffs required between the different decision makers as well as identify the equilibrium between environmental protection and economic development.
Through these figures, we identify the equilibrium lattice constants for further analysis.
In order to further examine the possible formation pathway of the AlNi phase, ab initio MD simulation was conducted for scoping the reaction time scale and identifying the equilibrium product of the thermite reaction of the Al/NiO MIC.
After each step, a quasi-Newton solver is used to iteratively minimize the total potential energy and to identify the equilibrium configuration of the system subjected to the new load step boundary conditions.
The notation [ xR, yR] refers to the number of rounds needed for the row (x) and column player (y) to identify the equilibrium.
To identify the adsorption equilibrium, we used both these models to evaluate the equilibrium of the experimental data.
This state usually is identified with the equilibrium state extrapolated from the experimental data obtained at temperatures above the glass transition.
