Simon N. Lekakh, Oleg Neroslavsky
High temperature metal casting processes have dualistic nature and conceptually consist of two parts of distinct processes: the first type is deterministic, strictly obeying the physical law, while the second type is stochastic. Therefore, the metal casting processes are not precisely predictable, and deterministic considerations cannot provide exact outcomes. To solve this problem, the combined stochastic and deterministic framework was suggested. The local processes were described using deterministic models for several parameter arrangements, while the distribution of these arrangements on macro level was calculated using stochastic approaches. The approach was used for cast alloy design, investment casting process optimization, and to predict lifetime of heat-resistant casting at high temperature harsh environments. The overview of solved problems could be used as guidelines for application of combined stochastic and physically based simulations in metal casting processing.
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title={2026 Lekakh Stochastic Physical Casting Model},
author={Simon N. Lekakh and Oleg Neroslavsky},
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