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Zeitschrift für angewandte Mathematik und Mechanik 80 (2000) Suppl. N°1, pp. 13-16

Maximum entropy principle and texture formation

Mayeul Arminjon 1, Didier Imbault 1

(2000)

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.

1 :	Laboratoire sols, solides, structures - risques (3S-R)
	CNRS : UMR5521 – Institut National Polytechnique de Grenoble - INPG – Université Joseph Fourier - Grenoble I

Domaine

:

Sciences de l'ingénieur/Mécanique/Mécanique des solides Physique/Mécanique/Mécanique des solides

Mots Clés : macro-to-micro transition – heterogeneous media – Lagrange multipliers – Voigt model – strain heterogeneity

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Contributeur : Mayeul Arminjon <>

Soumis le : Jeudi 23 Novembre 2006, 14:25:18

Dernière modification le : Jeudi 23 Novembre 2006, 15:07:35