| 预测纳米纤维复合材料有效弹性性能的界面模型和界面相模型北大核心CSCD |
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| 引用本文： | 崔春丽,徐耀玲. 预测纳米纤维复合材料有效弹性性能的界面模型和界面相模型北大核心CSCD[J]. 应用数学和力学, 2022, 43(8): 877-887. DOI: 10.21656/1000-0887.420231 |
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| 作者姓名： | 崔春丽 徐耀玲 |
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| 作者单位： | 燕山大学 河北省重型装备与大型结构力学可靠性重点实验室，河北 秦皇岛 066004 |
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| 摘 要： | 基于广义自洽法,同时采用Gurtin-Murdoch界面模型和界面相模型研究了纳米纤维复合材料的有效弹性性能,获得了两种模型下有效体积模量的封闭解析解和计算有效面内剪切模量数值解的全部公式.基于界面模型的解答,讨论了有效体积模量和有效面内剪切模量的界面效应.证明了界面模型的解答可由界面相模型的解答退化得到,其中有效体积模量可以实现解析退化,有效面内剪切模量则可以数值退化.以含纳米孔洞的金属铝为例,比较了两种模型计算结果的差异.结果表明,当纳米孔洞半径较小时,两个模型的结果存在很大差异,而当半径较大时两个模型的结果差别不大.
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| 关 键 词： | 纳米纤维复合材料 有效弹性性能 界面模型 界面相模型 |
| 收稿时间： | 2021-08-05 |
The Interface Model and the Interphase Model for Predicting the Effective Elastic Properties of Nano-Fiber Composites |
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| Affiliation: | Key Laboratory of Mechanical Reliability for Heavy Equipments and Large Structures of Hebei Province, Yanshan University, Qinhuangdao, Hebei 066004, P.R.China |
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| Abstract: | The effective bulk modulus and the effective in-plane shear modulus of nano-fiber composites were investigated with the interface model and the interphase model based on the generalized self-consistent method, and the closed-form analytical solutions of the effective bulk modulus and all equations for numerically predicting effective in-plane shear modulus based on the 2 models, were presented. With the interface model, interface effects of the effective bulk modulus and the effective in-plane shear modulus were discussed through numerical examples. Furthermore, the solutions of the interface model were proved to be degenerated ones of those of the interphase model, where the effective bulk modulus can be obtained through analytical degeneration and the numerical results of the effective in-plane shear modulus through numerical degeneration. An example of aluminium containing nano voids shows that, the effective bulk modulus and the effective in-plane shear modulus predicted with the interface model have large deviations from those with the interphase model for small void radii, however, small deviations for larger void radii. |
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