Formation of solid-state dendrites under the influence of coherency stresses: A diffuse interface approach
| Autor: | Bhadak, Bhalchandra, Jogi, Tushar, Bhattacharya, Saswata, Choudhury, Abhik |
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| Rok vydání: | 2021 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | In this paper, we have formulated a phase-field model based on the grand-potential functional for the simulation of precipitate growth in the presence of coherency stresses. In particular, we study the development of dendrite-like patterns arising out of diffusive instabilities during the growth of a precipitate in a supersaturated matrix. Here, we characterize the role of elastic energy anisotropy and its strength on the selection of a dendrite tip radius and velocity. We find that there is no selection of a unique tip shape as observed in the case of solidification, and the selection constant $\sigma^{*}=2d_0D/R_{tip}^{2}V_{tip}$ increases linearly with simulation time for all the simulation conditions (where $R_{tip}$ and $V_{tip}$ are the tip radius and velocity). Therefore, structures derived in solid-state in the presence of elastic anisotropy may only be referred to as dendrite-like. Comment: 47 pages |
| Databáze: | arXiv |
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