【摘要】：分形理論自誕生以來(lái),其應(yīng)用領(lǐng)域涉及到各行各業(yè),在半固態(tài)金屬組織形貌中的研究也將近十年。然而,由于分形理論本身的不完善,且其概念并不容易理解,多數(shù)的研究者也只是在報(bào)道分形維數(shù)與半固態(tài)金屬微觀組織形貌之間存在著一定的相依性,而其內(nèi)在的含義和關(guān)系程度并沒(méi)有深究。然而,分形理論與金屬微觀組織形貌間關(guān)系的研究是非常有必要的,因?yàn)榻M織決定性能,明確的組織描述對(duì)高效的材料開(kāi)發(fā)而言具有非常重要的意義。本文從分形的概念出發(fā),探尋ZL101合金半固態(tài)組織形貌與分形行為之間的契合點(diǎn),探究半固態(tài)組織形成與演變中的分形規(guī)律。通過(guò)探究“自相似性”的概念,引進(jìn)“信息熵”對(duì)半固態(tài)ZL101微觀組織形貌進(jìn)行了探討,明確了半固態(tài)組織演變存在自相似性。用Fourier級(jí)數(shù)形狀譜探究半固態(tài)初生相晶粒的形態(tài)特征,發(fā)現(xiàn)了不同半固態(tài)類(lèi)型的初生相組織形貌間存在的形態(tài)學(xué)規(guī)律,從形態(tài)學(xué)上得出半固態(tài)初生相晶粒的形態(tài)演變?yōu)橛胁町愋缘摹跋嗨啤毖葑�。另�?對(duì)分形維數(shù)和金屬組織的常規(guī)描述指標(biāo)做比較,明確它們之間的關(guān)系程度,及其在描述半固態(tài)微觀組織形貌中所扮演的角色。即分形維數(shù)可以作為固相率和形狀因子綜合表述,但與晶粒尺寸的相關(guān)性很微小。最后,用不同半固態(tài)工藝得到了不同物理機(jī)制下的半固態(tài)組織,并分別建立了分形維數(shù)—延伸率經(jīng)驗(yàn)公式,為以后的研究積累經(jīng)驗(yàn)。本文的特色之處在于:用統(tǒng)計(jì)學(xué)方法,從分形維數(shù)的基本概念出發(fā),明確了半固態(tài)微觀組織的演變存在分形特征;明確了計(jì)盒維數(shù)在描述半固態(tài)微觀組織形貌時(shí)的適用范圍;得到了不同半固態(tài)工藝下,ZL101微觀組織分形維數(shù)與延伸率之間的經(jīng)驗(yàn)公式。
[Abstract]:Fractal theory has been applied in various fields since its birth, and has been studied in semi-solid metal microstructure for nearly ten years. However, due to the imperfection of fractal theory itself and its concept is not easy to understand, most researchers only report that there is a certain dependence between fractal dimension and microstructure and morphology of semi-solid metal. But its intrinsic meaning and the relation degree did not delve deeply. However, it is necessary to study the relationship between fractal theory and metal microstructure, because the structure determines the properties and the clear microstructure description is very important for the development of high efficiency materials. Based on the concept of fractal, this paper explores the interface between the morphology and fractal behavior of semi-solid microstructure of ZL101 alloy, and probes into the fractal law of the formation and evolution of semi-solid microstructure. By exploring the concept of "self-similarity", the microstructure morphology of semi-solid ZL101 is discussed by introducing "information entropy", and it is clear that there is self-similarity in the evolution of semi-solid ZL101. The morphology characteristics of semisolid primary phase were investigated by Fourier series shape spectrum, and the morphology of primary phase with different semi-solid types was found. Morphologically, the morphology of semisolid primary phase grain evolves into a different "similar" evolution. In addition, the fractal dimension is compared with the conventional description index of metal structure, and the relationship between them and their role in describing the morphology of semi-solid microstructure is clarified. The fractal dimension can be expressed as solid fraction and shape factor, but the correlation between fractal dimension and grain size is very small. Finally, semi-solid structures with different physical mechanisms were obtained by different semi-solid processes, and the empirical formulas of fractal dimensionality and elongation were established respectively, which accumulated experience for future research. The characteristics of this paper are as follows: from the basic concept of fractal dimension, the evolution of semi-solid microstructure is clarified by statistical method, and the applicable range of box-counting dimension in describing the morphology of semi-solid microstructure is clarified. The empirical formula between fractal dimension and elongation of ZL101 microstructures in different semisolid processes was obtained.
【學(xué)位授予單位】：江西理工大學(xué)
【學(xué)位級(jí)別】：碩士
【學(xué)位授予年份】：2017
【分類(lèi)號(hào)】：TG146.21

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