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2022
DOI: 10.1007/s40964-021-00253-8
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Monte Carlo simulations of solidification and solid-state phase transformation during directed energy deposition additive manufacturing

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Cited by 11 publications
(8 citation statements)
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“…This phenomenon can be also observed in laser additive manufacturing. [64][65][66] When the fifth layer is added, the average grain sizes in SZ on different layers calculated by the MC model are shown in Figure 14 determined by both process temperature and subsequent heated time. A larger average grain size is observed in SZ on bottom layer.…”
Section: Resultsmentioning
confidence: 99%
“…This phenomenon can be also observed in laser additive manufacturing. [64][65][66] When the fifth layer is added, the average grain sizes in SZ on different layers calculated by the MC model are shown in Figure 14 determined by both process temperature and subsequent heated time. A larger average grain size is observed in SZ on bottom layer.…”
Section: Resultsmentioning
confidence: 99%
“…PF models solve equations for the evolution of order parameters that describe the system state to minimize the free energy of the system [132]. As noted by [133], this has the advantage of directly evolving a system towards thermodynamic equilibrium in real time. PF models have been applied to multiphase solidification, such as eutectic growth [134] and peritectic growth of ferrite and austenite phases in steel [135].…”
Section: Explicit Microstructure Modeling Methods: Sub-grain Scalementioning
confidence: 99%
“…Like CA, kMC was originally applied to casting problems and has recently been applied to AM. Liquid-solid and solid-solid phase transformation during AM processing has been simulated with kMC and successfully predicted multiple aspects of grain AM structures for Ni superalloys, titanium alloys, and steel [171,108,172,133]. However, accurately modeling texture using kMC necessitates that the probabilities allow preferential advance of grains with orientations near the local thermal gradient direction at a given point in time; while tuning of these probabilities may provide the ability to calibrate kMC models to experimental results better than CA (though without a true physical basis), calculation of the interface orientation and probabilities for each lattice point on the interface each time step can be computationally expensive.…”
Section: Explicit Microstructure Modeling Methods: Grain Scalementioning
confidence: 99%
“…However, as not many simulations have been created for this purpose, an analysis of the most outstanding simulations discussed in the above sections will serve as the basis for comparison (Table 1). Monte Carlo (MC) simulations have also been widely used in studying solidification and grain growth processes as they allow scientists to model and predict how microstructures/grains evolve over time [96,97]. The Monte Carlo method involves making random changes to the system and then deciding whether to accept or reject the change based on a probability that depends on the free energy of the system [98].…”
Section: Dendritic Needle Networkmentioning
confidence: 99%