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1 3S-R - Laboratoire sols, solides, structures - risques Grenoble

Abstract : The macro-to-micro transition in a heterogeneous material is envisaged as the selection of a probability distribution by the Principle of Maximum Entropy MAXENT. The material is made of constituents, e.g. given crystal orientations. Each constituent is itself made of a large number of elementary constituents. The relevant probability is the volume fraction of the elementary constituents that belong to a given constituent and undergo a given stimulus. Assuming only obvious constraints in MAXENT means describing a maximally disordered material. This is proved to have the same average stimulus in each constituent. By adding a constraint in MAXENT, a new model, potentially interesting e.g. for texture prediction, is obtained.

keyword : macro-to-micro transition heterogeneous media Lagrange multipliers Voigt model strain heterogeneity

Author: Mayeul Arminjon - Didier Imbault -



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