A new approach to a bridging tensor
A new approach to a bridging tensor
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DOI：
10.1002/pc.23048
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发表时间：
2015-08-01
影响因子：
5.2
通讯作者：
Huang, Zheng-Ming
中科院分区：
文献类型：
--
作者：
Wang, Yan-Chao;Huang, Zheng-Ming
桥接模型是一种有效的细观力学理论，可用于预测纤维增强复合材料的有效热机械性能和强度性能。桥接模型的关键是桥接张量，其通过Eshelby的包含方法获得[Huang和Zhou，Strength of Fibrous Composites，第53卷，浙江大学出版社，Springer，杭州，（2011）]。本文给出了桥张量元素的封闭形式表达式的另一种方法。该方法是基于平均的应力场的单纤维夹杂物嵌入在一个无限的矩阵受到各种载荷条件。通过求解纤维中平均应力分量与基体中平均应力分量之间的桥接方程，得到了桥接张量元的精确表达式。通过忽略桥接张量元中的一些小量，可以建立桥接模型。单向（UD）复合材料的有效弹性模量表示为桥接张量的函数。对18种UD复合材料的简化和精确桥接张量进行了预测弹性性能的比较。Polym.比较器：36：1417-1431，2015. (c)2014年塑料工程师学会
Bridging Model is an efficient micromechanical theory which can be used to predict the effective thermomechanical as well as strength properties of a fiber reinforced composite. The key to the Bridging Model is a bridging tensor, which was obtained on Eshelby's inclusion method [Huang and Zhou, Strength of Fibrous Composites, Vol. 53, Zhejiang University Press, Springer, Hangzhou, (2011)]. A different approach to the closed-form expressions for the elements of a bridging tensor is presented in this work. The method is based on averaging the stress fields of a single-fiber inclusion embedded within an infinite matrix subjected to various load conditions. By solving the bridging equations between the averaged stress components in the fiber and those in the matrix, the exact expressions for the bridging tensor elements are obtained. The Bridging Model can be established by neglecting some small quantities in the bridging tensor elements. Effective elastic moduli of a unidirectional (UD) composite are expressed as functions of a bridging tensor. Comparisons of predicted elastic properties of a total number of 18 UD composites on simplified and the exact bridging tensors are made. POLYM. COMPOS., 36:1417-1431, 2015. (c) 2014 Society of Plastics Engineers