[1]杨大鹏,刘新田..复合材料有效弹性模量的上、下限的求解[J].郑州大学学报(工学版),2002,23(02):106-109.[doi:10.3969/j.issn.1671-6833.2002.02.031]
　Yang Dapeng,Liu Xintian.Solution of the upper and lower limits of the effective modulus of elasticity of composite materials[J].Journal of Zhengzhou University (Engineering Science),2002,23(02):106-109.[doi:10.3969/j.issn.1671-6833.2002.02.031]

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复合材料有效弹性模量的上、下限的求解()

分享到：

《郑州大学学报(工学版)》[ISSN:1671-6833/CN:41-1339/T]

卷:

23

期数:

2002年02期

页码:

106-109

栏目:

出版日期:

1900-01-01

文章信息/Info

Title:

Solution of the upper and lower limits of the effective modulus of elasticity of composite materials

作者:

杨大鹏; 刘新田.

郑州大学材料工程学院,河南,郑州,450002, 郑州大学材料工程学院,河南,郑州,450002

Author(s):

Yang Dapeng; Liu Xintian

关键词:

有效弹性模量;  Voigt-Reuss;  Hashin-Shtrikman;  上限;  下限

Keywords:

effective modulus of elasticity;  Voigt-Reuss;  Hashin-Shtrikman;  Cap;  Lower bound

DOI:

10.3969/j.issn.1671-6833.2002.02.031

文献标志码:

A

摘要:

计算复合材料有效弹性模量上、下限的方法中,Voigt和Reuss的上、下限近似解及Hashin和Shtrikman的上、下限计算公式较为精确,但Voigt-Reuss近似解通常忽略了各向异性非均匀体的研究,是一个不全面的结果.而Hashin和Shtrikman未能准确运用变分法研究应变能的极值条件.针对各向异性非均匀体,采用变分法及能量极值原理进行分析,得出了一个比Voight-Reuss和Hashin-Shtrikman上、下限近似解更为精确和合理的上、下限计算公式.

Abstract:

In the method of calculating the upper and lower limits of the effective modulus of elasticity of composites, the upper and lower upper and lower limit approximations of Voigt and Reuss and the upper and lower limits of Hashin and Shtrikman are more accurate, but the Voigt-Reuss approximation usually ignores the study of anisotropic heterogeneous bodies, which is an incomplete result. Hashin and Shtrikman failed to accurately use variational calculus to study extreme conditions for strain energy. For anisotropic heterogeneous bodies, the variational method and the principle of energy extremum are used to analyze a more accurate and reasonable upper and lower limit calculation formula than the upper and lower limit approximations of Voight-Reuss and Hashin-Shtrikman.

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