Recent Studies on Probabilistic Modelling of Microstructural Evolution in Zr Based Bulk Metallic Glass Matrix Composites during Solidification in Additive Manufacturing

The present study aims to model nucleation of primary phase ductile crystalline particles in glassy
matrix. Bulk metallic glass and their composites (BMGMCs) are a new class of materials which
possess superior mechanical properties as compared to existing conventional materials. Owing to
this, they are potential candidates for tomorrow’s structural applications. However, they suffer from
poor ductility and little or no toughness which render them brittle and they manifest catastrophic failure under applied force. Their behavior is dubious, unpredictable and requires extensive experimentation to arrive at conclusive results. A cellular automata method is described for describing nucleation and growth of primary ductile phase particles in glassy matrix in bulk metallic glass matrix composites. A probabilistic cellular automaton (CA) model is developed and described in present study by author which is used in conjunction with earlier developed deterministic model to predict microstructural evolution in Zr based BMGMCs in additive manufacturing liquid melt pool. It is elaborately described with an aim to arrive at quantitative relations which describe process and steps of operations. Results indicate that effect of incorporating all mass transfer and diffusion coefficients under transient conditions and precise determination of probability number play a vital role in refining the model and bringing it closer to a level that it could be compared to actual values. It is shown that proposed tailoring can account for microstructural evolution in metallic glasses. It is found that proper use of transport equations and calculations of random probability number play pivotal role in describing microscale solute diffusion and solid fraction evolution in solidifying alloy. Use of moderate size simulation grid (cartesian) to counter mesh anisotropy along with selection of decentered square
algorithm also helps in model refinement and optimization.

Author (s) Details

Muhammad Musaddique Ali Rafique
Eastern Engineering Solutions LLC, Detroit, MI, USA.

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