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Journal Articles Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik Year : 2000

Maximum entropy principle and texture formation

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.
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Dates and versions

hal-00115820 , version 1 (23-11-2006)

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Mayeul Arminjon, Didier Imbault. Maximum entropy principle and texture formation. Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 2000, 80, Suppl. N°1, pp. 13-16. ⟨10.1002/zamm.20000801304⟩. ⟨hal-00115820⟩

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