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28 March 2024
 
  » arxiv » physics/0611227

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Maximum entropy principle and texture formation
Mayeul Arminjon ; Didier Imbault ; PDF only ;
Date 23 Nov 2006
Journal Zeitschrift f"ur angewandte Mathematik und Mechanik 80 (2000) Suppl. No. 1, pp. 13-16
Subject Classical Physics
AbstractThe 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.
Source arXiv, physics/0611227
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