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Computational homogenization of elastic-plastic composites

type de publication      article dans une revue internationale avec comité de lecture
date de publication 2013
auteur(s) Khdir Younis Khalid; Kanit Toufik; Zaïri Fahmi; Naït Abdelaziz Moussa
journal (abréviation) International Journal of Solids and Structures (Int J Solid Struct)
volume (numéro) 50 (18)
  
pages 2829 – 2835
résumé This work describes a computational homogenization methodology to estimate the effective elastic-plastic response of random two-phase composite media. It is based on finite element simulations using three-dimensional cubic cells of different size but smaller than the deterministic representative volume element (DRVE) of the microstructure. We propose to extend the approach developed in the case of elastic heterogeneous media by Drugan and Willis (1996) and Kanit et al. (2003) to elastic-plastic composites. A specific polymer blend, made of two phases with highly contrasted properties, is selected to illustrate this approach; it consists of a random dispersion of elastic rubber spheres in an elastic-plastic glassy polymer matrix. It is found that the effective elastic-plastic response of this particulate composite can be accurately determined by computing a sufficient number of small subvolumes of fixed size extracted from the DRVE and containing different realizations of the random microstructure. In addition, the response of an individual subvolume is found anisotropic whereas the average of all subvolumes leads to recover the isotropic character of the DRVE. The necessary realization number to reach acceptable precision is given for two examples of particle volume fractions.
mots clés Representative volume element; Computational homogenization; Finite element modeling; Elastic-plastic composites
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