Numéro
J. Phys. IV France
Volume 08, Numéro PR8, November 1998
2nd European Mechanics of Materials Conference on Mechanics of Materials with Intrinsic Length Scale : Physics, Experiments, Modelling and Applications
Page(s) Pr8-197 - Pr8-205
DOI https://doi.org/10.1051/jp4:1998825
2nd European Mechanics of Materials Conference on Mechanics of Materials with Intrinsic Length Scale : Physics, Experiments, Modelling and Applications

J. Phys. IV France 08 (1998) Pr8-197-Pr8-205

DOI: 10.1051/jp4:1998825

Computation of coarse grain structures using a homogeneous equivalent medium

S. Kruch1 and S. Forest2

1  ONERA, DMSE/LCME, BP. 72, 92322 Châtillon cedex, France
2  École des Mines de Paris, Centre des Matériaux, URA 866 du CNRS, BP. 87, 91003 Evry, France


Abstract
This paper deals with the improvement of concentration relations when some basic hypothesis of homogenization techniques are no longer valid inducing important errors in the deduced local fields. In the first part of this work we propose a new formalism of the standard concentration rules developed in the homogenization of periodic media framework. In a second part, we insist on the fact that a homogeneous equivalent medium replacing a coarse grain material is in fact expected to be a generalized continuum. Additional stiffnesses must be attributed to the unit cell and special non-homogeneous boundary conditions and their periodic counterparts are proposed. The resulting HEM turns out to be a Cosserat continuum.



© EDP Sciences 1998