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arXiv 0903.0439cond-mat.softcond-mat.mtrl-sci
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软玻璃材料塑性流动的动力学理论

A kinetic theory of plastic flow in soft glassy materials

Lyderic Bocquet, Annie Colin, Armand Ajdari

摘要:

本文提出了一种流动堵塞材料弹塑性动力学模型,其形式为应力分布函数的非局部Boltzmann动力学方程。粗粒化这个方程产生一个非局部本构关系的流动,作为一个关键的动态量的本地率的塑性事件。这个量,解释为一个本地的流动性,是空间相关的,与相关长度发散的准静态限制,即接近屈服。我们预测的流动行为中的有限尺寸效应,以及缺乏一个内在的局部流动曲线。最近的实验和数值观测支持这些功能。

英文摘要:

A kinetic model for the elasto-plastic dynamics of a flowing jammed material is proposed, which takes the form of a non-local -- Boltzmann-like -- kinetic equation for the stress distribution function. Coarse-graining this equation yields a non-local constitutive law for the flow, introducing as a key dynamic quantity the local rate of plastic events. This quantity, interpreted as a local fluidity, is spatially correlated, with a correlation length diverging in the quasi-static limit, i.e. close to yielding. We predict finite size effects in the flow behavior, as well as the absence of an intrinsic local flow curves. These features are supported by recent experimental and numerical observations.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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