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arXiv : physics/0611226

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Micro- and Macrostructural Aspects of Thermoplasticity, Bochum : Germany (1999)

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

Mayeul Arminjon 1, Didier Imbault 1

(1999)

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.

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 : Micro-Macro Transition – Horizon of Predictibility – Maximum Entropy Principle – Non-linear Behavior – Heterogenity

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Contributeur : Mayeul Arminjon <>

Soumis le : Jeudi 23 Novembre 2006, 11:52:50

Dernière modification le : Jeudi 23 Novembre 2006, 13:53:51