Thermodynamic and Kinetic Coupling of a Random Grid Cellular Automaton for the Simulation of Grain Growth

Abstract

den drop in the load that is associated with either no cracking (42 kN) or damage in the specimens arms (126 kN). For an axial force larger than 200 kN, failure takes place in the contact area of the punch and the specimen. Finally, for the test an axial load of 210 kN was chosen. In this case the specimens fails as required, and the numerical prediction is met by the test. Figure 1. Some possibilities for defining a neighborhood in conventional equidistant cellular automata (left) and in random grid cellular automata (right).

Review on cellular automata simulations of microstructure evolution during metal forming process: Grain coarsening, recrystallization and phase transformation

“…Recently, Lan et al [91] simulated the process of solute diffusion by a CA method with a specified switching rule which could be referred to in refs. [80,92]. The concentration gradient of solute between different cells caused by solute diffusion results in the change of chemical free energy that could be calculated by eqs.…”

Solving Material Mechanics and Multiphysics Problems of Metals with Complex Microstructures Using DAMASK—The Düsseldorf Advanced Material Simulation Kit

“…The development of simulation tools for microstructurecentered investigations has seen a large progress since the establishment of Advanced Engineering Materials (AEM) in 1999. Comparing the work from the early volumes [20][21][22][23][24][25][26] with recently appeared publications [27][28][29][30][31][32][33][34][35] reveals not only that the increased computational power allows to increase time and length scale and temporal and spatial discretization, but also that recent models are more often based on physical-oriented grounds instead of relying on phenomenological expressions. [36] A rather recent trend, only made possible by these improvements, is the integration of models describing different aspects such as dislocation glide, twinning, phase transformation, recrystallization, and precipitation into truly integrated tools for ICME.…”

An introductory review of cellular automata modeling of moving grain boundaries in polycrystalline materials

“…Almost at the same time, Janssens and Reissner [22] and Janssens et al [23] publish the first applications of random grid or irregular cellular automata to the simulation of recrystallization and grain growth. The inspiration for using a random grid was an application in social sciences [14], the main motivation behind the work being able to break the coupling between the orientation of a periodic discretization grid and the orientation of the grain boundaries.…”