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A Predictive Framework for Investigating Nanoscale Elastic Modulus in PVDF/Fe3O4 Nanocomposite Fibers
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1  NanoBio Mechanics & Manufacturing Laboratory, Department of Mechanical Engineering, College of Engineering, Computing, and Applied Science, Clemson University, Clemson, SC 29634, United States
Academic Editor: Alberto Jiménez Suárez

Abstract:

Accurately predicting the elastic modulus of polymer-nanoparticle composites presents a critical challenge, as conventional micromechanical models rely on idealized assumptions that are fundamentally invalid at the nanoscale. In this study, we demonstrate this significant discrepancy in a system of electrospun polyvinylidene fluoride (PVDF) nanofibers reinforced with iron oxide (Fe₃O₄) nanoparticles. Our experimental measurements reveal a substantial 23% increase in the composite's elastic modulus, confirming significant nanoparticle reinforcement and the material's enhanced performance. However, we show that established predictive frameworks—including the rule of mixtures, Kerner’s model, and the Guth model— fail to predict this experimental outcome. The failure of these models is largely attributed to their flawed foundational assumptions, such as ideal interfacial bonding between the polymer and nanoparticle, uniform particle dispersion, and the inapplicability of bulk-scale mechanics to nanoscale phenomena. To address this predictive gap, we propose a new, more sophisticated predictive model that moves beyond these idealizations. Our framework successfully incorporates critical nanoscale parameters that govern composite behavior, including quantified nanoparticle dispersion characteristics and the properties of the crucial polymer-nanoparticle interfacial zone. The resulting model provides a far more accurate description of the elastic modulus in PVDF/Fe₃O₄ systems, establishing a robust foundation for the future rational design of advanced materials with precisely tunable mechanical properties.

Keywords: nanomechanics; force spectroscopy; nanocomposites; elastic modulus
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