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arXiv 2301.09301cond-mat.softcond-mat.dis-nncond-mat.mtrl-sci
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二维固体中力学屏蔽的几何理论

Geometric Theory of Mechanical Screening in two-dimensional solids

Noemie Livne, Amit Schiller, Michael Moshe

AI总结:

本文提出了一种针对广义固体中应力屏蔽的几何理论,揭示了局部应力松弛模式的四极子本质,并指出六角相可由力学性质定义且可能存在于非晶材料中。

摘要:

机械超材料中的孔洞、非晶固体中的准局域塑性事件以及六角相物质中的束缚位错,是固体中广义应力松弛的不同机制。无论具体机制如何,这些及其他局部应力松弛模式在本质上都是四极子的,构成了固体中应力屏蔽的基础,类似于静电介质中的极化场。基于这一观察,我们提出了一种针对广义固体中应力屏蔽的几何理论。该理论包含一个屏蔽模式的层级结构,每个模式由内部长度尺度表征,且部分类似于静电屏蔽理论,如电介质和Debye-Hückel理论。此外,我们的形式体系表明,传统上由结构性质定义的六角相,也可以由力学性质定义,并且可能存在于非晶材料中。

英文摘要:

Holes in mechanical metamaterials, quasi-localized plastic events in amorphous solids, and bound dislocations in a hexatic matter are different mechanisms of generic stress relaxation in solids. Regardless of the specific mechanism, these and other local stress relaxation modes are quadrupolar in nature, forming the foundation for stress screening in solids, similar to polarization fields in electrostatic media. We propose a geometric theory for stress screening in generalized solids based on this observation. The theory includes a hierarchy of screening modes, each characterized by internal length scales, and is partially analogous to theories of electrostatic screening such as dielectrics and Debye-H{ü}ckel theory. Additionally, our formalism suggests that the hexatic phase, traditionally defined by structural properties, can also be defined by mechanical properties and may exist in amorphous materials.

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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