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首页> 外文期刊>Philosophical Magazine Letters >Continuum modeling of the reverse Hall-Petch effect in nanocrystalline metals under uniaxial tension: how many grains in a finite element model?
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Continuum modeling of the reverse Hall-Petch effect in nanocrystalline metals under uniaxial tension: how many grains in a finite element model?

机译：单轴拉伸下纳米​​晶金属中反向霍尔-Petch效应的连续模型：有限元模型中有多少个晶粒？

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Owing to their very high strength, nanocrystalline metals have been extensively studied over the recent years. The direct Hall-Petch law, empirically proportioning the material strength to the inverse square root of its grain size has been shown to break down below a grain size of the order of tenths of nanometers. This phenomenon has been widely rationalized as a gradual switch from intragrain mediated deformation mechanisms to grain boundary mediated deformation mechanisms. This transition has been observed in many finite element simulations, despite the intrinsic restriction of necessarily limiting the nanocrystalline representative assembly to only a few grains. Such a limitation is generally overlooked, and its influence on an uniaxial tension test - when compared to a complete sample of millions of grains - ignored. We propose here to quantify the approximation done by considering a finite number of grains by means of a simple analytical model based on the early work of Stevens [R.N. Stevens, Philos. Mag. 23 (1971) p. 265]. The finite element approximation is demonstrated to be relatively good, even down to only three grains in width, and a method to “correct” the stress-strain curves of small representative volumes is proposed.View full textDownload full textKeywordsnanocrystalline metals, Hall-Petch effect, analytical model, finite elementRelated var addthis_config = { ui_cobrand: "Taylor & Francis Online", services_compact: "citeulike,netvibes,twitter,technorati,delicious,linkedin,facebook,stumbleupon,digg,google,more", pubid: "ra-4dff56cd6bb1830b" }; Add to shortlist Link Permalink http://dx.doi.org/10.1080/09500839.2011.598478
机译：由于其非常高的强度，近年来对纳米晶体金属进行了广泛的研究。直接的霍尔-帕奇定律，根据经验将材料强度与其晶粒尺寸的平方根成反比，已被证明在十分之几纳米的晶粒尺寸以下分解。随着从晶粒内介导的变形机制到晶界介导的变形机制的逐渐转换，这种现象已被广泛合理化。尽管必须将纳米晶体的代表性组件限制为仅几个晶粒，但在许多有限元模拟中都观察到了这种转变。这种局限性通常被忽略，并且与单数张力测试的结果相比（与完整的数百万个晶粒的完整样本相比），可以忽略不计。我们在这里提出基于史蒂文斯[R.N.N.A.]的早期工作的简单分析模型，通过考虑有限数量的晶粒来量化近似值。史蒂文斯，菲洛斯。魔术师1971年第23页。 265]。有限元近似被证明是相对较好的，甚至可以减小到只有三个晶粒的宽度，并提出了一种“校正”小代表体积的应力-应变曲线的方法。查看全文下载全文关键字纳米晶金属，霍尔-提取效果，分析模型，有限元相关的var addthis_config = {ui_cobrand：“泰勒和弗朗西斯在线”，servicescompact：“ citlikelike，netvibes，twitter，technorati，delicious，linkedin，facebook，stumbleupon，digg，google，更多”，pubid： “ ra-4dff56cd6bb1830b”};添加到候选列表链接永久链接http://dx.doi.org/10.1080/09500839.2011.598478

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