Extension of nucleation and growth theories beyond JMAK
Nucleation and growth during phase transformation can be described by the classical works of Johnson and Mehl, Avrami, and Kolmogorov (JMAK). The theory is rigorously derived within the assumptions of isotropic & interface-limited growth, random nucleation in space, and an infinite system. Never...
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| Format: | Final Year Project |
| Language: | English |
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Nanyang Technological University
2023
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| Online Access: | https://hdl.handle.net/10356/165746 |
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| Institution: | Nanyang Technological University |
| Language: | English |
| Summary: | Nucleation and growth during phase transformation can be described by the classical works of Johnson and Mehl, Avrami, and Kolmogorov (JMAK). The theory is rigorously derived within the assumptions of isotropic & interface-limited growth, random nucleation in space, and an infinite system. Nevertheless, in most solid-state transformations, precipitation occurs in a polycrystalline domain and is diffusion-limited, which violates JMAK’s assumptions. The objective is to derive and verify new models that relax JMAK’s assumptions, focusing on using the Time-Cone method to simulate conditions that deviate from JMAK’s assumptions and to analyse the simulated results to guide new model development. |
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