期刊
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS
卷 163, 期 -, 页码 -出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.jmps.2022.104871
关键词
Thermal-fluctuation gradient induced force; Two-dimensional materials; Theoretical framework; Van der Waals interactions; Nanomechanics; Solution-guided machine learning
资金
- NSF of China [12132008, 11872238]
- Innovation Program of Shanghai Municipal Education Commission [2017-01-07-00-09-E00019]
- Program of Shanghai Academic Research Leader [19XD1401500]
- Key Research Project of Zhejiang Laboratory [2021PE0AC02]
- Nanyang Technological University [002479-00001]
- Agency for Science, Technology and Research (A*STAR)
This article develops a unified theoretical framework for tangential entropic forces (TEFs) in low-dimensional materials and provides explicit analytical solutions as well as machine learning approximation solutions. This concept could serve as one of the founding pillars of nanomechanics.
Recent studies on nanomechanical devices based on low-dimensional nanomaterials have revealed several different types of thermal fluctuation gradient induced tangential entropic forces (TEFs), including expulsion force, edge force, thermophoretic force, nanodurotaxis force, etc. While all these forces originate from thermal fluctuation gradients, they can take different forms for different problems and have been treated case-by-case in the literature. Here, we develop a unified theoretical framework for TEFs in layered low-dimensional materials. In particular, we derive explicit analytical solutions for TEFs in layered two-dimensional materials and validate them with molecular dynamics simulations for various bilayers composed of graphene, graphyne, hexagonal-boron nitride (h-BN), boron-carbon-nitride (BCN), and double walled nanotubes. We present also approximate solutions to TEFs in hetero- or substrate-supported-bilayers based on a solution-guided machine learning (SGML) technique. The developed concept for TEFs is unique to nanomechanical systems and may serve as one of the founding pillars of nanomechanics.
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