INTEGRATED PERCOLATION-BASED APPROACH TO MODELING INTERDENDRITIC FEEDING UNDER PRESSURIZED SOLIDIFICATION
DOI:
https://doi.org/10.34185/1991-7848.itmm.2026.01.017Keywords:
interdendritic feeding, mushy zone, percolation, pressurized solidification, dendritic structure, permeability, porosity, mathematical modelingAbstract
The paper addresses the problem of interdendritic feeding at the final stage of solidification of metals and alloys under external pressure. It is shown that conventional modeling approaches based only on local liquid-phase parameters and mushy-zone permeability do not fully account for the loss of global connectivity of the liquid network, which is critically important for describing defect formation. An integrated percolation-based model of interdendritic feeding is proposed, combining a microstructural description of the dendritic skeleton, a hydrodynamic approach to liquid-phase filtration in a porous medium, and a percolation criterion for preserving a continuous feeding channel. It is substantiated that the loss of connectivity of the liquid network is one of the key mechanisms governing the transition from effective feeding to the formation of shrinkage and gas-shrinkage porosity. Considering external pressure within the model makes it possible to describe more accurately the conditions for preserving interdendritic feeding and to assess its influence on the final stage of solidification. The proposed approach can be used as a theoretical basis for further mathematical modeling of defect formation in cast metals and alloys.
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