Surface element design of nanomaterials considering surface curvature dependence

IF 3.8 2区 工程技术 Q1 ENGINEERING, MECHANICAL Acta Mechanica Sinica Pub Date : 2024-09-12 DOI:10.1007/s10409-024-24096-x
Yongchao Zhang  (, ), Lian Wang  (, ), Fangxin Wang  (, ), Bin Li  (, ), Xiaofan Gou  (, )
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Abstract

Nanomaterials have garnered recognition for their notable surface effects and demonstration of superior mechanical properties. Previous studies on the surface effects of nanomaterials, employing the finite element method, often relied on simplified two-dimensional models due to theoretical complexities. Consequently, these simplified models inadequately represent the mechanical properties of nanomaterials and fail to capture the substantial impact of surface effects, particularly the curvature dependence of nanosurfaces. This study applies the principle of minimum energy and leverages the Steigmann-Ogden surface theory of nanomaterials to formulate a novel finite element surface element that comprehensively accounts for surface effects. We conducted an analysis of the stress distribution and deformation characteristics of four typical 2D and 3D nanomaterial models. The accuracy of the developed surface element and finite element calculation method was verified through comparison with established references. The resulting finite element model provides a robust and compelling scientific approach for accurately predicting the mechanical performance of nanomaterials.

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考虑表面曲率相关性的纳米材料表面元件设计
纳米材料因其显著的表面效应和卓越的机械性能而备受认可。由于理论上的复杂性,以往采用有限元法对纳米材料表面效应进行的研究往往依赖于简化的二维模型。因此,这些简化模型不能充分体现纳米材料的机械特性,也无法捕捉表面效应的实质性影响,尤其是纳米表面的曲率依赖性。本研究应用最小能量原理,并利用纳米材料的 Steigmann-Ogden 表面理论,制定了一种全面考虑表面效应的新型有限元表面元素。我们对四种典型二维和三维纳米材料模型的应力分布和变形特征进行了分析。通过与已有参考文献的对比,验证了所开发的表面元素和有限元计算方法的准确性。由此产生的有限元模型为准确预测纳米材料的机械性能提供了一种稳健而有说服力的科学方法。
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来源期刊
Acta Mechanica Sinica
Acta Mechanica Sinica 物理-工程:机械
CiteScore
5.60
自引率
20.00%
发文量
1807
审稿时长
4 months
期刊介绍: Acta Mechanica Sinica, sponsored by the Chinese Society of Theoretical and Applied Mechanics, promotes scientific exchanges and collaboration among Chinese scientists in China and abroad. It features high quality, original papers in all aspects of mechanics and mechanical sciences. Not only does the journal explore the classical subdivisions of theoretical and applied mechanics such as solid and fluid mechanics, it also explores recently emerging areas such as biomechanics and nanomechanics. In addition, the journal investigates analytical, computational, and experimental progresses in all areas of mechanics. Lastly, it encourages research in interdisciplinary subjects, serving as a bridge between mechanics and other branches of engineering and the sciences. In addition to research papers, Acta Mechanica Sinica publishes reviews, notes, experimental techniques, scientific events, and other special topics of interest. Related subjects » Classical Continuum Physics - Computational Intelligence and Complexity - Mechanics
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