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On the Incompatibility of Steady-State Assumption and Abnormal Grain Growth in the Presence of Homogenous Pinning

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Abstract

Possibility of abnormal grain growth (AGG) is vital when tuning grain structure of polycrystalline materials. The growth stability of a particle-pinned polycrystalline aggregation is discussed. It is mathematically proved that in such aggregation, Hillert’s steady-state normal grain growth assumption is stable against arbitrary perturbation; hence, AGG is impossible as long as pinning is uniform. This conclusion is independent of the detailed pinning mechanism, evolution of pinning strength, or the dimension of the system.

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Fig. 1

Notes

  1. This does not necessarily imply that no NGG is ongoing in the aggregation e.g., when the particle pinning is coarsening or dissolving.

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This work was supported by the National Natural Science Foundation of China [Grant Numbers 52101043, 51971137].

On behalf of all authors, the corresponding authors state that there is no conflict of interest.

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  1. State Key Laboratory of Metal Matrix Composites, Shanghai Jiao Tong University, Minhang District, Shanghai, 200240, China

    Yanchi Chen, Yidan Chen, Chengyi Dan, Han Chen, Xianfeng Li, Zhe Chen & Haowei Wang

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Appendix A: Nomenclature Table

Appendix A: Nomenclature Table

This appendix briefly summarizes the nomenclature of important symbols that have been used throughout the manuscript, based on their order of appearance in the text.

Table AI Nomenclature Table for Symbols
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Chen, Y., Chen, Y., Dan, C. et al. On the Incompatibility of Steady-State Assumption and Abnormal Grain Growth in the Presence of Homogenous Pinning. Metall Mater Trans A 55, 20–25 (2024). https://doi.org/10.1007/s11661-023-07227-1

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