基于一种新的均匀化实施方法的FRP刚度预测

doi:10.7527/S1000-6893.2017.220579

固体力学与飞行器总体设计

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基于一种新的均匀化实施方法的FRP刚度预测

高涛¹, 漆文凯^1,2, 沈承^1,2

1. 南京航空航天大学能源与动力学院, 南京 210016;
2. 江苏省航空动力系统重点实验室, 南京 210016

收稿日期:2016-06-30 修回日期:2017-01-23 出版日期:2017-05-15 发布日期:2017-02-16
通讯作者: 沈承 E-mail:cshen@nuaa.edu.cn
基金资助:
航空科学基金（2013ZB52019）；国家自然科学基金（11502110）；江苏省自然科学基金（BK20150737）；中央高校基本科研业务费专项资金（NJ20150005）

Prediction of FRP stiffness based on a new implementation of homogenization method

GAO Tao¹, QI Wenkai^1,2, SHEN Cheng^1,2

1. College of Energy and Power Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China;
2. Jiangsu Province Key Laboratory of Aerospace Power System, Nanjing 210016, China

Received:2016-06-30 Revised:2017-01-23 Online:2017-05-15 Published:2017-02-16
Supported by:
Aeronautical Science Foundation of China (2013ZB52019);National Natural Science Foundation of China (11502110);Natural Science Foundation of Jiangsu Province of China (BK20150737);the Fundamental Research Funds for Central Universities (NJ20150005)

摘要/Abstract

摘要：

基于一种新的渐近均匀化（AH）实施方法，预测并讨论了单向纤维增强复合材料（FRP）的宏观等效弹性性能及纤维排列方式对等效力学性能的影响。该方法方便地将有限元分析（FEA）软件作为一个工具箱使用，只需在单胞上施加简单位移周期边界条件开展静力学分析，即可经过简单计算得到等效弹性常数，相比传统均匀化实施方法显著降低了实施难度并简化了计算过程。通过对比不同数值方法的结果验证了该方法的有效性和精确性。数值结果表明：六边形排列下单向纤维增强复合材料呈现横观各向同性，而正方形排列下则呈现宏观正交各向异性，经过刚度平均化过程可得到横观各向异性材料性质，纤维体积含量对两种排列方式下材料等效弹性模量影响显著但有所差别。

关键词: 均匀化方法, 等效弹性性能, 周期边界条件, 有限元, 纤维排列, 复合材料

Abstract:

Based on a new implementation of asymptotic homogenization (AH) method, the macroscopic equivalent elastic properties of unidirectional fiber reinforced polymer (FRP) and the effect of fiber arrangement on the equivalent mechanical properties were predicted and discussed. This method can be easily implemented to obtain the effective elastic constants using commercial finite element analysis (FEA) software as a tool box, and nodal displacement field corresponding to the unit strain field was applied with consideration of periodic boundary conditions. Compared to traditional homogenization methods this method significantly reduced the difficulty of implementation and simplified the calculation process. A comparison of several methods reveals that this implementation method is simple and the result obtained is accurate. The numerical results show:fiber reinforced polymer with hexagonal arrangement has transversely isotropic material behavior but FRP with square arrangement has orthotropic material behavior; a stiffness averageness procedure is required to obtain the transversely isotropic stiffness matrix of FRP; the fiber volume fraction has a significant but different effect on the equivalent elastic modulus of the two kinds of arrangement.

Key words: homogenization method, equivalent elastic properties, periodic boundary condition, finite element, fiber arrangement, composites

中图分类号:

V258⁺.3

高涛, 漆文凯, 沈承. 基于一种新的均匀化实施方法的FRP刚度预测[J]. 航空学报, 2017, 38(5): 220579-220579.

GAO Tao, QI Wenkai, SHEN Cheng. Prediction of FRP stiffness based on a new implementation of homogenization method[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2017, 38(5): 220579-220579.

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E-mail：hkxb@buaa.edu.cn

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主管单位：中国科学技术协会主办单位：中国航空学会北京航空航天大学

基于一种新的均匀化实施方法的FRP刚度预测

Prediction of FRP stiffness based on a new implementation of homogenization method

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