Equivalent inclusions in micromechanics with interface energy effect  

作　　者：Zhenguo ZHANG Yongqiang CHEN Zhuping HUANG 

机构地区：[1]Department of Mechanics and Engineering Science,College of Engineering,Peking University,Beijing 100871,China

出　　处：《Applied Mathematics and Mechanics(English Edition)》2017年第11期1497-1516,共20页应用数学和力学（英文版）

基　　金：supported by the National Natural Science Foundation of China(Nos.11272007 and 11332001)

摘　　要：In order to apply classical micromechanics in predicting the effective prop- erties of nanocomposites incorporating interface energy, a concept of equivalent inclusion （EI） is usually adopted. The properties of EI are obtained by embedding a single inclusion with the interface into an infinite matrix. However, whether such an EI is universal for different micromechanics-based methods is rarely discussed in the literature. In this pa- per, the interface energy theory is used to study the applicability of the above mentioned EI. It is found that some elastic properties of the EI are related only to the properties of the inclusion and the interface, whereas others are also related to the properties of the matrix. The former properties of the EI can be applied to both the classical Mori-Tanaka method （MTM） and the generalized self-consistent method （GSCM）. However, the latter can be applied only to the MTM. Two kinds of new EIs are proposed for the GSCM and used to estimate the effective mechanical properties of nanocomposites.In order to apply classical micromechanics in predicting the effective prop- erties of nanocomposites incorporating interface energy, a concept of equivalent inclusion （EI） is usually adopted. The properties of EI are obtained by embedding a single inclusion with the interface into an infinite matrix. However, whether such an EI is universal for different micromechanics-based methods is rarely discussed in the literature. In this pa- per, the interface energy theory is used to study the applicability of the above mentioned EI. It is found that some elastic properties of the EI are related only to the properties of the inclusion and the interface, whereas others are also related to the properties of the matrix. The former properties of the EI can be applied to both the classical Mori-Tanaka method （MTM） and the generalized self-consistent method （GSCM）. However, the latter can be applied only to the MTM. Two kinds of new EIs are proposed for the GSCM and used to estimate the effective mechanical properties of nanocomposites.

关 键 词：interface effect equivalent inclusion （EI） Mori-Tanaka method （MTM） generalized self-consistent method （GSCM） 

分 类 号：TB33[一般工业技术—材料科学与工程] TB383.1