论文标题

折叠弹性纸的塑性和老化

Plasticity and Aging of Folded Elastic Sheets

论文作者

Jules, Théo, Lechenault, Frédéric, Adda-Bedia, Mokhtar

论文摘要

我们研究了经过机械载荷时,折痕材料表所表现出的耗散机制,这种机械板以可塑性和松弛现象的形式出现。在证明可塑性主要影响折痕的静止角度之后,我们设计了该数量和系统的宏观状态之间的映射,使我们能够沿任意加载路径跟踪其参考配置,从而为基于折痕的屈光量提供了强大的监视和设计工具。此外,我们表明,复杂的松弛现象,特别是记忆效应,可能会在折痕水平上产生非单调反应,这可能与报道的皱巴巴的类似行为有关。我们通过经典的双层时间演化来描述我们的观察结果,并获得与基础材料兼容的本构行为。因此,折痕提供的杠杆效应可以放大对材料流变学的访问。

We investigate the dissipative mechanisms exhibited by creased material sheets when subjected to mechanical loading, which comes in the form of plasticity and relaxation phenomena within the creases. After demonstrating that plasticity mostly affects the rest angle of the creases, we devise a mapping between this quantity and the macroscopic state of the system that allows us to track its reference configuration along an arbitrary loading path, resulting in a powerful monitoring and design tool for crease-based metamaterials. Furthermore, we show that complex relaxation phenomena, in particular memory effects, can give rise to a non-monotonic response at the crease level, possibly relating to the similar behavior reported for crumpled sheets. We describe our observations through a classical double-logarithmic time evolution and obtain a constitutive behavior compatible with that of the underlying material. Thus the lever effect provided by the crease allows magnified access to the material's rheology.

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