Thermodynamic admissibility of Bouc-Wen type hysteresis models

Silvano Erlicher (1) , Nelly Point

1 navier umr 8205 - Laboratoire Navier

Starting from the relationship between the Bouc model and the endochronic theory and by adopting some new intrinsic time measures, the thermodynamic admissibility of the Bouc-Wen model is proved, in the univariate case as well as in the tensorial one. Moreover, the proposed proof encompasses the cases where a strength degradation term appears.

Mots clés: Solids and structures; Thermodynamics; Hysteresis; Bouc–Wen models; Endochronic theory; Seismic engineering

Domaines: Mécanique des matériaux [physics.class-ph]; Mécanique des matériaux [physics.class-ph]

Silvano Erlicher, Nelly Point. Thermodynamic admissibility of Bouc-Wen type hysteresis models. Comptes Rendus Mécanique, 2004, 332, pp.51-57. ⟨10.1016/j.crme.2003.10.009⟩. ⟨hal-00345300⟩