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arXiv 0901.2846cond-mat.mtrl-sci
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准静态流变学与应变起源

Quasistatic rheology and the origins of strain

Jean-Noël Roux, Gaël Combe

摘要:

应用于固体状颗粒材料的流变规律的特点,回顾和面临的微观方法,通过离散数值模拟。我们给出了模型系统的例子,具有非常相似的平衡应力传输特性--研究得很多的力链和力分布--但对应力增量的应变响应在性质上不同。弹塑性接触网络的稳定性的结果导致两个不同的流变制度的定义,根据是否适用于宏观脆性(倾向于重新安排在任意小的应力增量在热力学极限)。可能的后果进行了讨论。

英文摘要:

Features of rheological laws applied to solid-like granular materials are recalled and confronted to microscopic approaches via discrete numerical simulations. We give examples of model systems with very similar equilibrium stress transport properties -- the much-studied force chains and force distribution -- but qualitatively different strain responses to stress increments. Results on the stability of elastoplastic contact networks lead to the definition of two different rheological regimes, according to whether a macroscopic fragility property (propensity to rearrange under arbitrary small stress increments in the thermodynamic limit) applies. Possible consequences are discussed.

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