Identification of Diffusion Properties of Polymer-Matrix Composite Materials with Complex Texture

  • Marianne BeringhierEmail author
  • Marco GigliottiEmail author
  • Paolo Vannucci


The paper deals with the identification of three-dimensional anisotropic diffusion properties of polymer-matrix composite materials with complex texture, based on the exploitation of short-time gravimetric tests. According to the Thermodynamics of Irreversible Processes, the diffusion behavior can be isotropic or orthotropic: for many materials, due to the complexity of the microscopic texture, the principal directions of orthotropy are not known a priori and enter the identification issue. After reviewing some identification methods (proper generalized decomposition) for isotropic and orthotropic material whose orthotropy directions are known, the paper proposes an experimental protocol and an identification algorithm for the full three-dimensional diffusion case, aiming at establishing the 3 coefficients of diffusion along the principal directions of orthotropy and the orientation of the orthotropic reference frame with respect to the sample frame. The identification of the physical properties is done through the minimization of a distance in the space of the physical parameters. The problem being non-convex, the numerical strategy used for the search of the global minimum is a particle swarm optimization, the code adaptive local evolution-particle swarm optimization with adaptive coefficients.


Identification Diffusion behavior Optimization method PGD ALE-PSO 

Mathematics Subject Classification

80A23 45Q05 35R30 80M50 90C31 46N10 



This work pertains to the French Government programs “Investissements d’Avenir” LABEX INTERACTIFS (Reference ANR-11-LABX-0017-01).


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Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2019

Authors and Affiliations

  1. 1.PPRIME Institute, CNRS - ISAE-ENSMAUniversity of PoitiersPoitiersFrance
  2. 2.LMV - UMR8100 CNRSUniversity of Versailles Saint QuentinVersaillesFrance

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