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Volume 7, Issue 4
Simultaneous Prediction of Morphologies of a Critical Nucleus and an Equilibrium Precipitate in Solids

Lei Zhang, Long-Qing Chen & Qiang Du

DOI: 10.4208/cicp.2009.09.099

Commun. Comput. Phys., 7 (2010), pp. 674-682.

Published online: 2010-07

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  • Abstract

We investigate the critical nucleus and equilibrium morphologies during precipitation of a second-phase particle in a solid. We show that a combination of diffuse-interface description and a constrained string method is able to predict both the critical nucleus and equilibrium precipitate morphologies simultaneously without a priori assumptions. Using the cubic to cubic transformation as an example, it is demonstrated that the maximum composition within a critical nucleus can be either higher or lower than that of equilibrium precipitate while the morphology of an equilibrium precipitate may exhibit lower symmetry than the critical nucleus resulted from elastic interactions.

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@Article{CiCP-7-674, author = {Lei Zhang, Long-Qing Chen and Qiang Du}, title = {Simultaneous Prediction of Morphologies of a Critical Nucleus and an Equilibrium Precipitate in Solids}, journal = {Communications in Computational Physics}, year = {2010}, volume = {7}, number = {4}, pages = {674--682}, abstract = {

We investigate the critical nucleus and equilibrium morphologies during precipitation of a second-phase particle in a solid. We show that a combination of diffuse-interface description and a constrained string method is able to predict both the critical nucleus and equilibrium precipitate morphologies simultaneously without a priori assumptions. Using the cubic to cubic transformation as an example, it is demonstrated that the maximum composition within a critical nucleus can be either higher or lower than that of equilibrium precipitate while the morphology of an equilibrium precipitate may exhibit lower symmetry than the critical nucleus resulted from elastic interactions.

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.2009.09.099}, url = {http://global-sci.org/intro/article_detail/cicp/7649.html} }
TY - JOUR T1 - Simultaneous Prediction of Morphologies of a Critical Nucleus and an Equilibrium Precipitate in Solids AU - Lei Zhang, Long-Qing Chen & Qiang Du JO - Communications in Computational Physics VL - 4 SP - 674 EP - 682 PY - 2010 DA - 2010/07 SN - 7 DO - http://doi.org/10.4208/cicp.2009.09.099 UR - https://global-sci.org/intro/article_detail/cicp/7649.html KW - AB -

We investigate the critical nucleus and equilibrium morphologies during precipitation of a second-phase particle in a solid. We show that a combination of diffuse-interface description and a constrained string method is able to predict both the critical nucleus and equilibrium precipitate morphologies simultaneously without a priori assumptions. Using the cubic to cubic transformation as an example, it is demonstrated that the maximum composition within a critical nucleus can be either higher or lower than that of equilibrium precipitate while the morphology of an equilibrium precipitate may exhibit lower symmetry than the critical nucleus resulted from elastic interactions.

Lei Zhang, Long-Qing Chen and Qiang Du. (2010). Simultaneous Prediction of Morphologies of a Critical Nucleus and an Equilibrium Precipitate in Solids. Communications in Computational Physics. 7 (4). 674-682. doi:10.4208/cicp.2009.09.099
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