考虑Steigmann-Ogden界面的复合材料远场解析解

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中文摘要：本文给出了含有纳米纤维或孔隙的二维异质材料在远场载荷作用下的Steigmann-Ogden弹性面的解析解。该求解与最近文献中复函数法的数值结果进行了验证，并提供了具体位移和应力场的闭式表达式。数值研究了表面弹性参数、表面残余应力、纤维/孔径和远场载荷对局部应力分布的影响。结果表明，表面弹性参数会扰乱纤维域内的内应力，而表面弯曲刚度参数会显著影响应力集中，这与经典Eshelby问题中的均匀应力分布不同。分析表达式揭示了一些有趣的现象，例如，纤维复合材料在静水载荷作用下的应力/位移场仅与表面Lamé参数有关，剪切载荷作用下分析表达式中的非常数系数保持为单轴拉伸载荷作用下的两倍，这些都是本文首次报道的。所建立的解决方案对于准确捕捉具有显著表面效应的纳米复合材料的力学响应至关重要。

外文标题：Far-field analytical solution of composite materials considering steigmann-ogden surface

外文摘要：This paper presents an analytical solution for two-dimensional heterogeneous materials containing nano-fibers or pores,taking into account the Steigmann-Ogden elastic surface under far-field loading.The solution is validated against numerical results from the complex function method in recent literature,and the closed-form expressions for specific displacement and stress fields are provided.The effects of surface elasticity parameters,surface residual stress,fiber/pore size,and far-field load on local stress distribution are numerically investigated.Results show that surface elasticity parameters can disturb internal stresses within the fiber domain,while surface bending stiffness parameters significantly impact stress concentrations,which is different from the uniform stress distribution in the classical Eshelby problem.The analytical expressions reveal interesting phenomena,e.g.,the stress/displacement fields of fiber composites under hydrostatic load are only related to the surface Lamé parameters,and the non-constant coefficient in the analytical expression under shear load is kept twice of that under uniaxial tensile load,which are first reported in this paper.The developed solution is crucial for accurately capturing the mechanical responses of nanocomposites with significant surface effects.

外文关键词：

Fibrous compositesSteigmann-Ogden surfaceEshelby analytical expressionFar-field action

作者：

高梦园、贺哲龙、Ougbe Anselme Ahehehinnou、王冠楠

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作者单位：

Department of Civil Engineering,Zhejiang University,Hangzhou 310058,China

Center for Balance Architecture,Zhejiang University Hangzhou 310007,China

College of Mechanical and Vehicle Engineering,Hunan University Changsha 410082,China

关键词：

Fibrous composites Steigmann-Ogden surface Eshelby analytical expression Far-field action

基金：

国家自然科学基金国家重点研发计划ZJU-ZCCC Institute of Collaborative InnovationScientific Research Program of the Department of Education of Hunan Province,China

项目编号：

120023032020YFA0711700ZDJG202100222B0022

出版年：

2024

DOI：

10.1007/s10409-023-23196-x

力学学报(英文版)

CSTPCD

影响因子：0.363

ISSN：0567-7718

年,卷(期)：2024.40(1)

参考文献量28