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Communication Dans Un Congrès Année : 1999

PHYSICAL MEANING AND EXPERIMENTAL CHECK OF A VARIATIONAL PRINCIPLE FOR MACRO-TO-MICRO TRANSITION

Résumé

It is argued that, for strongly non-linear behaviors, a fully deterministic position can hardly be maintained in the micro-macro transitions. This is due to the lack of information on the relevant boundary conditions, and to the tendency of non-linear dynamical systems to have a "horizon of predictibility". In the variational micro-macro model proposed by us, the data of the microscopic behavior plus the overall stimulus has to be supplemented by a "heterogeneity parameter". In this model, the macro-to-micro transition depends on the validity of a "principle of minimal heterogeneity" (PMH). It is shown that the PMH has a close relation to the maximum entropy principle.
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Dates et versions

hal-00115784 , version 1 (23-11-2006)

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Citer

Mayeul Arminjon, Didier Imbault. PHYSICAL MEANING AND EXPERIMENTAL CHECK OF A VARIATIONAL PRINCIPLE FOR MACRO-TO-MICRO TRANSITION. Micro- and Macrostructural Aspects of Thermoplasticity, 1999, Bochum, Germany. pp.197-206. ⟨hal-00115784⟩

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