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Beyond conventional nonlinear fracture mechanics in graphene nanoribbons.
Nanoscale ( IF 5.8 ) Pub Date : 2020-08-06 , DOI: 10.1039/d0nr03836a
Takahiro Shimada 1 , Kai Huang 2 , Le Van Lich 3 , Naoki Ozaki 1 , Bongkyun Jang 4 , Takayuki Kitamura 1
Affiliation  

Owing to a finite and single-atom-thick two-dimensional structure, graphene nanostructures such as nanoribbons possess outstanding physical properties and unique size-dependent characteristics due to nanoscale defects, especially for mechanical properties. Graphene nanostructures characteristically exhibit strong nonlinearity in deformation and the defect brings about an extremely localized singular stress field of only a few nanometers, which might lead to unique fracture properties. Fundamental understanding of their fracture properties and criteria is, however, seriously underdeveloped and limited to the level of continuum mechanics and linear elasticity. Here, we demonstrate the breakdown of continuum-based fracture criteria for graphene nanoribbons due to the strong nonlinearity and discreteness of atoms emerging with decreasing size and identify the critical sizes for these conventional criteria. We further propose an energy-based criterion considering atomic discrete nature, and show that it can successfully describe the fracture beyond the critical sizes. The complete clarification of fracture criterion for nonlinear graphene with nanoscale singularity contributes not only to the reliable design of graphene-based nanodevices but also to the elucidation of the extreme dimensional limit in fracture mechanics.

中文翻译:

超越石墨烯纳米带的常规非线性断裂力学。

由于有限且单原子厚度的二维结构,石墨烯纳米结构(例如纳米带)由于纳米级缺陷(特别是机械性能)而具有出色的物理特性和独特的尺寸依赖性特性。石墨烯纳米结构特征性地表现出强烈的变形非线性,并且该缺陷导致仅几纳米的极其局部的奇异应力场,这可能导致独特的断裂性能。然而,对它们的断裂特性和判据的基本了解还很不完善,并且仅限于连续力学和线性弹性的水平。这里,我们证明了石墨烯纳米带基于连续体的断裂准则的破裂,归因于随着尺寸减小而出现的原子的强非线性和离散性,并确定了这些常规准则的临界尺寸。我们进一步提出了一种考虑原子离散性质的基于能量的准则,并表明它可以成功地描述超出临界尺寸的断裂。完全澄清具有纳米级奇异性的非线性石墨烯的断裂准则,不仅有助于石墨烯基纳米器件的可靠设计,而且有助于阐明断裂力学中的极限尺寸极限。并表明它可以成功地描述超出临界尺寸的裂缝。完全阐明具有纳米级奇异性的非线性石墨烯的断裂准则,不仅有助于石墨烯基纳米器件的可靠设计,而且有助于阐明断裂力学中的极限尺寸极限。并表明它可以成功地描述超出临界尺寸的裂缝。完全澄清具有纳米级奇异性的非线性石墨烯的断裂准则,不仅有助于石墨烯基纳米器件的可靠设计,而且有助于阐明断裂力学中的极限尺寸极限。
更新日期:2020-09-18
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