期刊
INDIAN JOURNAL OF PHYSICS
卷 96, 期 8, 页码 2385-2392出版社
INDIAN ASSOC CULTIVATION SCIENCE
DOI: 10.1007/s12648-021-02190-2
关键词
Wave mechanics; Polycrystalline metals; Logarithmic Korteweg material; Solidification; Microstructure
资金
- Department of Higher Education and Training of South Africa
- National Research Foundation of South Africa [95965, 132202, 131604]
- [ISQS-26]
The theory explains density inhomogeneities in materials undergoing liquid-solid phase transitions through solitonic solutions of logarithmic wave equations, such as bubbles or cells. Experimental evidence shows periodicity in the polycrystalline structure of metal grains and Gaussian-like profiles of microhardness within grains.
Schrodinger-type wave equations with logarithmic nonlinearity occur in hydrodynamic models of Korteweg-type materials with capillarity and surface tension, which can undergo liquid-solid or liquid-gas phase transitions. One of the predictions of the theory is a periodic pattern of density inhomogeneities occurring in the form of either bubbles (topological phase), or cells (non-topological phase). Such inhomogeneities are described by solitonic solutions of a logarithmic wave equation, gaussons and kinks, in the vicinity of the liquid-solid phase transition. During the solidification process, these inhomogeneities become centers of nucleation, thus shaping the polycrystalline structure of the metal grains. The theory predicts a Gaussian profile of material density inside such a cell, which should manifest in a Gaussian-like profile of microhardness inside a grain. We report experimental evidence of large-scale periodicity in the structure of grains in the ferrite steel S235/A570, copper C-Cu/C14200, austenite in steel X10CrNiTi18-10/AISI 321, and aluminum-magnesium alloy 5083/5056; and also Gaussian-like profiles of microhardness inside an averaged grain in these materials.
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