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arXiv 1701.03324cond-mat.mtrl-scicond-mat.stat-mech
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非晶系统屈服转变时的不同普适类

Different universality classes at the yielding transition of amorphous systems

E. A. Jagla

摘要:

本文用细观弹塑性模型研究了二维非晶系统在剪切作用下的屈服转变。该模型结合了一个完整的(张量)描述系统中的弹性相互作用,和结构recommodations的可能性,负责塑性行为。可能的结构recommodations编码的形式,一个“塑性障碍”的潜力,这是独立地选择在每个位置的样品,以考虑当地的异质性。我们观察到,应力必须超过临界值$σ_c$,以使系统屈服。此外,当该系统产生一个流动曲线的应力$σ$和应变率$\dotγ$的形式$\dotγ\sim(σ-σ_c)^β$获得。值得注意的是,我们观察到$β$的值取决于可塑性障碍潜力的一些细节。对于光滑势,获得$β\simeq 2.0$的值,而对于作为光滑段的级联获得的势,在模拟中观察到值$β\simeq 1.5$。这表明临界行为对塑性行为细节的依赖性,这在以前没有被指出。此外,通过整合出非必要的,谐波自由度,我们得到一个简化的标量版本的模型,代表了一个相互作用的普朗特-汤姆林森粒子的集合。这种相互作用的平均场处理再现的差异$β$指数为两类的塑性障碍的潜力,并提供值的$β$,比较有利的与那些在充分的模拟。

英文摘要:

We study the yielding transition of a two dimensional amorphous system under shear by using a mesoscopic elasto-plastic model. The model combines a full (tensorial) description of the elastic interactions in the system, and the possibility of structural reaccommodations that are responsible for the plastic behavior. The possible structural reaccommodations are encoded in the form of a "plastic disorder" potential, which is chosen independently at each position of the sample to account for local heterogeneities. We observe that the stress must exceed a critical value $σ_c$ in order for the system to yield. In addition, when the system yields a flow curve relating stress $σ$ and strain rate $\dotγ$ of the form $\dotγ\sim(σ-σ_c)^β$ is obtained. Remarkably, we observe the value of $β$ to depend on some details of the plastic disorder potential. For smooth potentials a value of $β\simeq 2.0$ is obtained, whereas for potentials obtained as a concatenation of smooth pieces a value $β\simeq 1.5$ is observed in the simulations. This indicates a dependence of critical behavior on details of the plastic behavior that has not been pointed out before. In addition, by integrating out non-essential, harmonic degrees of freedom, we derive a simplified scalar version of the model that represents a collection of interacting Prandtl-Tomlinson particles. A mean field treatment of this interaction reproduces the difference of $β$ exponents for the two classes of plastic disorder potentials, and provides values of $β$ that compare favorably with those found in the full simulations.

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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