An efficient homogenization scheme for analyzing the elastic properties of hybrid nanocomposites filled with multiscale
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(2021) 43:3
TECHNICAL PAPER
An efficient homogenization scheme for analyzing the elastic properties of hybrid nanocomposites filled with multiscale particles M. Pakseresht1 · R. Ansari1 · M. K. Hassanzadeh‑Aghdam2 Received: 17 July 2020 / Accepted: 28 October 2020 © The Brazilian Society of Mechanical Sciences and Engineering 2020
Abstract Designing material requires the establishment of structure–property relationships for multiscaled nanoparticle/microparticlereinforced polymer hybrid nanocomposites. This fundamental task is the first step in developing a reliable new method. In the present study, two micromechanical analytical models are proposed to develop an efficient homogenization scheme, in the case of calculating elastic properties for a multiscaled hybrid nanocomposite consisting of silica nanoparticles and glass microparticles embedded in the epoxy matrix. In the small scale, we consider homogenous interphase surrounding the nanoparticle which the first model takes into consideration. In the small scale, considering the thickness of this interphase as variable and characteristic length scale, the influence of nanoparticle size on the overall elastic properties is calculated. In the large scale, an interface model of homogenization is proposed; this model too calculates the elastic properties of the overall nanocomposite as a function of inclusion size in microsize representative volume elements. In the large scale, the existence of surface stress and strains is a result of “sticking” behavior of the matrix to the inclusion surfaces. By combining these two models, we can determine the effective elastic properties of a hybrid nanocomposite as a function of nanoparticle size, microscale inclusion size, interphase thickness, and volume fractions. The model predictions are in good agreement with the experimental data provided in the literature. Keywords Hybrid nanocomposite · Multiscale particles · Homogenization scheme · Elastic property · Interfacial region
1 Introduction Whether we require a developing line of composite material or proposing a new method for calculating the effective properties, we need the known properties of its components. Mean field hypotheses are generally used as models to homogenize the structural inhomogeneous materials. For simplicity, stress and strain tensors throughout the heterogenous material are averaged, thus making the material a continuum homogeneous. Factors to consider in calculating Technical Editor: Aurelio Araujo. * R. Ansari [email protected] * M. K. Hassanzadeh‑Aghdam [email protected] 1
Faculty of Mechanical Engineering, University of Guilan, Rasht, Iran
Department of Engineering Science, Faculty of Technology and Engineering, East of Guilan, University of Guilan, Rudsar‑Vajargah, Iran
2
the properties of composites are shape, volume fraction, orientation, and inclusion size. For non-spherical inclusions, homogenization models can determine the dependencies of material properties on the mentioned factors; however, their results are inconc
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