Fast statistical homogenization procedure (FSHP) for particle random composites using virtual element method

  • M. PingaroEmail author
  • E. Reccia
  • P. Trovalusci
  • R. Masiani
Original Paper


Mechanical behaviour of particle composite materials is growing of interest to engineering applications. A computational homogenization procedure in conjunction with a statistical approach have been successfully adopted for the definition of the representative volume element (RVE) size, that in random media is an unknown of the problem, and of the related equivalent elastic moduli. Drawback of such a statistical approach to homogenization is the high computational cost, which prevents the possibility to perform series of parametric analyses. In this work, we propose a so-called fast statistical homogenization procedure (FSHP) developed within an integrated framework that automates all the steps to perform. Furthermore within the FSHP, we adopt the numerical framework of the virtual element method for numerical simulations to reduce the computational burden. The computational strategies and the discretization adopted allow us to efficiently solve the series (hundreds) of simulations and to rapidly converge to the RVE size detection.


Statistical homogenization Representative volume element Virtual element method Random composites 



This work is supported by Italian Ministry of University and Research—P.R.I.N. 2015, Sapienza Research Unit, under Grant B86J16002300001, Project 2015JW9NJT “Advanced mechanical modeling of new materials and structures for the solution of 2020 Horizon challenges—and by Sapienza—University Grant 2016, B82F16005920005, and University Grant 2017, B83C17001440005.


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Copyright information

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

Authors and Affiliations

  • M. Pingaro
    • 1
    Email author
  • E. Reccia
    • 1
  • P. Trovalusci
    • 1
  • R. Masiani
    • 1
  1. 1.Department of Structural and Geotechnical EngineeringSapienza University of RomeRomeItaly

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