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Bounds on size effects in composites via homogenization accounting for general interfaces

  • Soheil Firooz
  • George Chatzigeorgiou
  • Fodil Meraghni
  • Ali JaviliEmail author
Original Article
  • 30 Downloads

Abstract

This manuscript provides novel bounds and estimates, for the first time, on size-dependent properties of composites accounting for generalized interfaces in their microstructure, via analytical homogenization verified by computational analysis. We extend both the composite cylinder assemblage and Mori–Tanaka approaches to account for the general interface model. Our proposed strategy does not only determine the overall response of composites, but also it provides information about the local fields for each phase of the medium including the interface. We present a comprehensive study on a broad range of interface parameters, stiffness ratios and sizes. Our analytical solutions are in excellent agreement with the computational results using the finite element method. Based on the observations throughout our investigations, two notions of size-dependent bounds and ultimate bounds on the effective response of composites are introduced which yield a significant insight into the size effects, particularly important for the design of nano-composites.

Keywords

General interface Size effects Ultimate bounds Size-dependent bounds Homogenization Composites 

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© Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Department of Mechanical EngineeringBilkent UniversityAnkaraTurkey
  2. 2.LEM3-UMR 7239 CNRS, Arts et Metiers ParisTech MetzMetzFrance

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