@article {31744,
	title = {Equivalent inclusions in micromechanics with interface energy effect},
	journal = {Applied Mathematics and MechanicsApplied Mathematics and MechanicsApplied Mathematics and Mechanics-English Edition},
	volume = {38},
	number = {11},
	year = {2017},
	note = {Fk7kiTimes Cited:1Cited References Count:29},
	month = {Nov},
	pages = {1497-1516},
	chapter = {1497},
	abstract = {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.},
	keywords = {effective moduli, elastic-moduli, fiber composites, inhomogeneous interphase, nanocomposites, stress, thermoelastic properties},
	isbn = {0253-48271573-2754},
	author = {Zhang, Zhenguo and Yongqiang Chen and Huang, Zhuping}
}
