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非橢球TiB2顆粒對(duì)復(fù)合材料有效性能的影響分析
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軍械工程學(xué)院,軍械工程學(xué)院,軍械工程學(xué)院,軍械工程學(xué)院,中國人民解放軍78638部隊(duì)

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TB332

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國家自然科學(xué)基金項(xiàng)目(面上項(xiàng)目,重點(diǎn)項(xiàng)目,重大項(xiàng)目)


Micromechanical Analysis of the Influence of Non-ellipsoidal TiB2 Particles on the Equivalent Elastic Property of the Composite Ceramics
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    摘要:

    非橢球顆粒Eshelby張量不為常數(shù),沒有解析解,理論計(jì)算中通常將非橢球顆粒簡化為橢球形進(jìn)行分析。實(shí)際材料中顆粒并非都為規(guī)則的橢球形,因此這種簡化的合理性是有待討論的。本文通過數(shù)值方法計(jì)算了幾種特殊的非橢球顆粒的Eshelby張量和平均Eshelby張量,與有限元結(jié)果對(duì)比驗(yàn)證了數(shù)值結(jié)果的準(zhǔn)確性。在此基礎(chǔ)上,根據(jù)相互作用直推估計(jì)法分析了非橢球顆粒形狀對(duì)有效性能的影響,并分析了用橢球顆粒代替異形顆粒的可行性。結(jié)果顯示,數(shù)值方法計(jì)算的Eshelby精度較高,將對(duì)稱性較高的非橢球顆粒等效為橢球顆粒是可行的,片狀TiB2顆粒對(duì)材料剛度影響更大,將其簡化為近似的片狀橢球進(jìn)行計(jì)算也將帶來更大的誤差。

    Abstract:

    Eshelby tensor is not a constant parameter and there is no analytical expression for a non-ellipsoidal particle. To simplify the calculation, non-ellipsoidal particle usually was treated as ellipsoidal in most analysis, while the simplification is need to be verificated for particles in composite are not always ellipsoid actually. To study the error of the simplification, the Eshelby tensor and the average Eshelby tensor of several non-ellipsoidal particles were calculated numerically, and the numerical result is verified by comparing to the finite element method result. Base on the numerical result, the influence of the non-ellipsoidal to equivalent elastic property of the composite is analyzed, and the condition of the simplificating the non-ellipsoidal particle to ellipsoidal particle was obtained. The result indicated that using the numerical method in Eshelby tensor calculation is highly precise. It is acceptable to simplify the non-ellipsoidal particle to ellipsoidal particle when the non-ellipsoidal particle is highly symmetrical. The oblate particle has more important influence on the equivalent elastic property of the composite than other shapes, and hence it cause larger error for simplifying the non-ellipsoidal to ellipsoidal particle than other shapes.

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付云偉,倪新華,劉協(xié)權(quán),張龍,陳誠.非橢球TiB2顆粒對(duì)復(fù)合材料有效性能的影響分析[J].稀有金屬材料與工程,2018,47(4):1149~1153.[Fu yunwei, Ni Xinhua, Liu Xiequan, Zhang Long, Chen Cheng. Micromechanical Analysis of the Influence of Non-ellipsoidal TiB2 Particles on the Equivalent Elastic Property of the Composite Ceramics[J]. Rare Metal Materials and Engineering,2018,47(4):1149~1153.]
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  • 收稿日期:2016-03-21
  • 最后修改日期:2016-06-29
  • 錄用日期:2016-08-17
  • 在線發(fā)布日期: 2018-05-31
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