Homogenization of elastic-viscoplastic heterogeneous materials: Application to nanomaterials

Sebastien Mercier 1Alain Molinari 1Yuri Estrin 2

1. Laboratoire de Physique et de mécanique des matériaux, UMR CNRS 7554 (LPMM), Ile du Saulcy, Metz 57045, France
2. CSIRO Division of Materials Science and Engineering, Private Bag 33, Clayton South MDC, Melbourne 3169, Australia


The purpose of this talk is to present new  homogenization schemes for the prediction of the mechanical behavior of elastic-viscoplastic heterogeneous materials.  In a first part, Mori-Tanaka and self-consistent approaches are developed based on  an interaction law postulated by Molinari et al (Mech. Mater., 26, 43, 1997). Illustrations are given for  two phase composite materials.  In a second part of the present talk, we would like to emphasize how a simple homogenization technique can be useful for the prediction of the mechanical behavior of nanomaterials. Based on previous rigid viscoplastic models proposed by Kim et al. (Acta Mater, 48:493, 2000) and  Kim and  Estrin (Acta Mater, 53:765, 2005), the nanocrystalline material is described as a two phase composite material.    Using the Taylor-Lin homogenisation scheme in order to account for elasticity,  the yield stress of nanocrystalline materials  can be evaluated.  The transition from a Hall-Petch relation  to an inverse Hall-Petch relation  is defined and  is related to a   change in plastic deformation mode in the crystallite phase  from a dislocation glide driven mechanism to a diffusion-controlled process.

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Presentation: Invited oral at E-MRS Fall Meeting 2008, Symposium K, by Sebastien Mercier
See On-line Journal of E-MRS Fall Meeting 2008

Submitted: 2008-06-20 11:18
Revised:   2009-06-07 00:48
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