Homogenization accounting for size effects in particulate composites due to general interfaces. (December 2019)

• Record Type: Journal Article
• Authors: Firooz, Soheil; Chatzigeorgiou, George; Meraghni, Fodil; Javili, Ali
• Is Part Of: Mechanics of materials. Volume 139(2019)
• Publication Date: 2019-12
• Subjects: Homogenization -- Imperfect interface -- Size effects -- Particulate composites -- Mori–Tanaka method; Strength of materials -- Periodicals; Mechanics, Applied -- Periodicals; Résistance des matériaux -- Périodiques; Mécanique appliquée -- Périodiques; Mechanics, Applied; Strength of materials; Periodicals; Electronic journals; 620.11
• DOI: 10.1016/j.mechmat.2019.103204
• Languages: English
• ISSNs: 0167-6636

Abstract

Highlights: Establishing analytical approaches to determine the overall size-dependent response of composites embedding general interfaces based on CSA and GSCM. Providing new bounds and estimates on the macroscopic properties of particulate composites together with the state of the stress and strain in each phase. Comparison with the literature on the topic and showing an excellent agreement and unification of available estimates. Introducing the two notions of ultimate bounds and size-dependent bounds. Abstract: Two analytical approaches are developed to determine the overall size-dependent response of composites embedding general interfaces. The first approach extends the composite sphere assemblage (CSA) approach and the generalized self-consistent method (GSCM) to account for the general interface model resulting in new bounds and estimates on the macroscopic properties of particulate composites. In the second approach, we develop an interface-enhanced Mori–Tanaka method that not only determines the effective properties but also provides the state of the stress and strain in each phase of the medium. The general interface model captures both elastic and cohesive interface models. Computational analysis is carried out using the finite element method to verify the analytical results. A remarkable agreement between the proposed analytical solutions and the computational results is obtained. A thorough parametric study is carried out to shed light on the role of the general interfaces in the overall behavior of composites. Motivated by the numerical and analytical findings, the material behavior is found to be bounded. Thus, two notions of ultimate bounds and size-dependent bounds are introduced and discussed.