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arXiv 0802.1087cond-mat.softcond-mat.mtrl-sci
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剪切非晶态固体中位移和应变的演化

Evolution of displacements and strains in sheared amorphous solids

Craig E. Maloney, Mark O. Robbins

摘要:

通过计算机模拟研究了二维Lennard-Jones玻璃在剪切应变作用下的局部变形。均方位移和均方应变都随着测量它们的应变间隔$Δγ$的长度线性增加。然而,位移的增加并不代表单粒子扩散。滑移线的位移具有长程空间相关性,滑移线的振幅与颗粒尺寸相当。还观察到对系统大小的强烈依赖。位移和应变的概率分布是非常不同的。对于小的$Δγ$,位移分布具有平台,随后是指数尾部。当$Δγ$增加到约0.03时,分布变为高斯分布。应变分布由与弹性区域相关的尖锐中心峰和与塑性区域相关的长指数尾组成。后者持续到研究的最大$Δγ$。

英文摘要:

The local deformation of two-dimensional Lennard-Jones glasses under imposed shear strain is studied via computer simulations. Both the mean squared displacement and mean squared strain rise linearly with the length of the strain interval $Δγ$ over which they are measured. However, the increase in displacement does not represent single-particle diffusion. There are long-range spatial correlations in displacement associated with slip lines with an amplitude of order the particle size. Strong dependence on system size is also observed. The probability distributions of displacement and strain are very different. For small $Δγ$ the distribution of displacement has a plateau followed by an exponential tail. The distribution becomes Gaussian as $Δγ$ increases to about .03. The strain distributions consist of sharp central peaks associated with elastic regions, and long exponential tails associated with plastic regions. The latter persist to the largest $Δγ$ studied.

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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