Maximum entropy principle and texture formation

Details Maximum entropy principle and texture formation Maximum entropy principle and texture formation

2006-11-23

arxiv.org/abs/physics/0611227v1

Zeitschrift f\"ur angewandte Mathematik und Mechanik 80 (2000) Suppl. No. 1, pp. 13-16

Physics

Classical Physics

Scientific paper

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.

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