复合材料科学与工程 ›› 2014, Vol. 0 ›› Issue (7): 23-27.

• 基础研究 • 上一篇    下一篇

均匀化有限元法预测复合材料层合板宏观有效弹性性能

谢桂兰*, 赵锦枭, 田杰, 吴涛   

  1. 湘潭大学机械工程学院,湖南湘潭411105
  • 收稿日期:2013-10-24 发布日期:2021-09-15
  • 作者简介:谢桂兰(1966-),女,博士,教授,主要从事复合材料力性能的预测研究,xieguilan@xtu.edu.cn。
  • 基金资助:
    国家自然科学基金(51375417)

PREDICTING MACROSCOPIC EFFECTIVE ELASTIC PROPERTIES OF COMPOSITE LAMINATED PLATE BY HOMOGENIZATION FEM

XIE Gui-lan*, ZHAO Jin-xiao, TIAN Jie, WU Tao   

  1. School of Mechanical Engineering, Xiangtan University, Xiangtan 411105,China
  • Received:2013-10-24 Published:2021-09-15

摘要: 首先由等效能量原理提出复合材料有效弹性模量定义,再由小参数渐进展开均匀化理论,推导出复合材料层合板等效弹性张量。同时结合有限元方法,建立复合材料层合板的多尺度模型,预测碳纳米管以及纳米薄膜增强复合材料层合板的宏观有效弹性模量。由均匀化方法来求得弹性模量的宏观平均值,将其输入商业软件ANSYS系统进行计算,由此把宏、细观两个尺度耦合起来,可以对复合材料层合板进行等效弹性性能分析。这对新材料的研究、发展具有一定的指导作用。

关键词: 复合材料层合板, 均匀化, 有限元, 碳纳米管, 纳米薄层

Abstract: This paper puts forward the effective elastic modulus definition of composite materials based on equivalent energy principle for the first time. By the small parameter gradual homogenization theory , deducing the equivalent elastic tensor of composite laminated plate and by combining with finite element method (FEM) to establish a multi-scale model of composite laminated plate, we could predict the macroscopic effective elastic modulus of carbon nanotubes and nanofilm laminated composite material. By the homogenization method to obtain macro average of elastic modulus, and put it in the commercial software ANSYS system, coupled with two scales of the macro and micro, we could analysis the equivalent elastic performance of composite laminated plate. The conclusions are of significance for guiding the preparation of new composites.

Key words: composite laminated plate, homogenization, finite element, carbon nanotubes, nanometer thin layer

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