An extended micromechanics method for probing interphase properties in polymer nanocomposites |
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Institution: | 1. Institut Jacques Monod (IJM), CNRS et Université Paris Diderot (UMR 7592), Paris 75013, France;2. Institute of Science and Technology, Federal University of the Valleys of Jequitinhonha and Mucuri, Minas Gerais 39100-000, Brazil |
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Abstract: | Inclusions comprised on filler particles and interphase regions commonly form complex morphologies in polymer nanocomposites. Addressing these morphologies as systems of overlapping simple shapes allows for the study of dilute particles, clustered particles, and interacting interphases all in one general modeling framework. To account for the material properties in these overlapping geometries, weighted-mean and additive overlapping conditions are introduced and the corresponding inclusion-wise integral equations are formulated. An extended micromechanics method based on these overlapping conditions for linear elastic and viscoelastic heterogeneous material is then developed. An important feature of the proposed approach is that the effect of both the geometric overlapping (clustered particles) and physical overlapping (interacting interphases) on the effective properties can be distinguished. We apply the extended micromechanics method to a viscoelastic polymer nanocomposite with interphase regions, and estimate the properties and thickness of the interphase region based on experimental data for carbon-black filled styrene butadiene rubbers. |
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Keywords: | Micromechanics Overlapping geometries Boolean–Poisson model Polymer composite Viscoelasticity Interphase Inverse problem |
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