Size-dependent effective elastic moduli of particulate composites with interfacial displacement and traction discontinuities

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES

卷:51

Article

Gu, S. -T.¹  Liu, J-T¹  He, Q-C.^1,2 

[1] Southwest Jiaotong Univ, Sch Mech Engn, Chengdu 610031, Peoples R China

[2] Univ Paris Est, MSME UMR CNRS 8208, Lab Modelisat & Simulat Multi Echelle, F-77454 Marne La Vallee 2, France

关键词: Imperfect interface;    Interphase;    Spherical particle;    Effective elastic moduli;    Particulate composite;   

DOI  :  10.1016/j.ijsolstr.2014.02.033

来源: Elsevier

【 摘 要 】

This work aims at estimating the size-dependent effective elastic moduli of particulate composites in which both the interfacial displacement and traction discontinuities occur. To this end, the interfacial discontinuity relations derived from the replacement of a thin uniform interphase layer between two dissimilar materials by an imperfect interface are reformulated so as to considerably simplify the characteristic expressions of a general elastic imperfect model which is adopted in the present work and include the widely used Gurtin-Murdoch and spring-layer interface models as particular cases. The elastic fields in an infinite body made of a matrix containing an imperfectly bonded spherical particle and subjected to arbitrary remote uniform strain boundary conditions are then provided in an exact, coordinate-free and compact way. With the aid of these results, the elastic properties of a perfectly bonded spherical particle energetically equivalent to an imperfectly bonded one in an infinite matrix are determined. The estimates for the effective bulk and shear moduli of isotropic particulate composites are finally obtained by using the generalized self-consistent scheme and discussed through numerical examples. (C) 2014 Elsevier Ltd. All rights reserved.

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