Thermodynamic admissibility of Bouc–Wen type hysteresis models

Silvano Erlicher; Nelly Point

doi:10.1016/j.crme.2003.10.009

Thermodynamic admissibility of Bouc–Wen type hysteresis models

Presented by: Pierre Suquet

Silvano Erlicher ^1,²; Nelly Point ^1,³

¹ Laboratoire d'analyse des matériaux et identification LAMI (ENPC/LCPC–Institut Navier), 6 et 8, avenue Blaise Pascal, cité Descartes, Champs-sur-Marne, 77455 Marne-la-Vallée cedex 2, France
² Università di Trento, Dipartimento di Ingegneria Meccanica e Strutturale (DIMS), Via Mesiano 77, 38050, Trento, Italy
³ Conservatoire national des arts et métiers, département de mathématiques, 292, rue Saint-Martin, 77141 Paris cedex 03, France

Comptes Rendus. Mécanique, Volume 332 (2004) no. 1, pp. 51-57.

Abstract
Résumé

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.

Partant de la relation entre le modèle de Bouc et la théorie endochronique et grâce à l'introduction de nouveaux temps internes, l'admissibilité thermodynamique du modèle de Bouc–Wen est prouvée, aussi bien dans le cas scalaire que dans le cas tensoriel. De plus, la preuve proposée s'applique également s'il y a un terme prenant en compte la dégradation de la force maximale.

Received: 2003-06-17
Accepted: 2003-10-28
Published online: 2003-12-20

DOI: 10.1016/j.crme.2003.10.009

Keywords: Solids and structures, Thermodynamics, Hysteresis, Bouc–Wen models, Endochronic theory, Seismic engineering
Mots-clés : Solides et structures, Thermodynamique, Hystérésis, Modèles de Bouc–Wen, Théorie endochronique, Ingénierie sismique

Author's affiliations:

Silvano Erlicher ^{1, 2}; Nelly Point ^{1, 3}

¹ Laboratoire d'analyse des matériaux et identification LAMI (ENPC/LCPC–Institut Navier), 6 et 8, avenue Blaise Pascal, cité Descartes, Champs-sur-Marne, 77455 Marne-la-Vallée cedex 2, France
² Università di Trento, Dipartimento di Ingegneria Meccanica e Strutturale (DIMS), Via Mesiano 77, 38050, Trento, Italy
³ Conservatoire national des arts et métiers, département de mathématiques, 292, rue Saint-Martin, 77141 Paris cedex 03, France

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     title = {Thermodynamic admissibility of {Bouc{\textendash}Wen} type hysteresis models},
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Silvano Erlicher; Nelly Point. Thermodynamic admissibility of Bouc–Wen type hysteresis models. Comptes Rendus. Mécanique, Volume 332 (2004) no. 1, pp. 51-57. doi : 10.1016/j.crme.2003.10.009. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2003.10.009/

References
Cited by

[1] R. Bouc Modèle mathématique d'hystérésis, Acustica, Volume 24 (1971), pp. 16-25

[2] Y.-K. Wen Method for random vibration of hysteretic systems, J. Eng. Mech. Div. ASCE, Volume 102 (1976), pp. 249-263

[3] M.V. Sivaselvan; A.M. Reinhorn Hysteretic models for deteriorating inelastic structures, J. Eng. Mech., Volume 126 (2000) no. 6, pp. 633-640

[4] S. Erlicher, Hysteretic degrading models for the low-cycle fatigue behaviour of structural elements: theory, numerical aspects and applications, Ph.D. Thesis, Department of Mechanical and Structural Engineering, University of Trento, Italy, 2003

[5] F. Casciati Stochastic dynamics of hysteretic media, Struct. Safety, Volume 6 (1989), pp. 259-269

[6] G. Ahmadi; F.-G. Fan; M.-N. Noori A thermodynamically consistent model for hysteretic materials, Iranian J. Sci. Tech., Volume 21 (1997) no. 3, pp. 257-278

[7] D. Capecchi; G. de Felice Hysteretic systems with internal variables, J. Eng. Mech., Volume 127 (2001) no. 9, pp. 891-898

[8] M.A. Karray; R. Bouc Etude dynamique d'un système d'isolation antisismique, Ann. ENIT, Volume 3 (1989) no. 1, pp. 43-60

[9] T.T. Baber; Y.-K. Wen Random vibrations of hysteretic, degrading systems, J. Eng. Mech. Div. ASCE, Volume 107 (1981) no. 6, pp. 1069-1087

[10] K.C. Valanis A theory of viscoplasticity without a yield surface. Part I: general theory, Arch. Mech., Volume 23 (1971) no. 4, pp. 517-533

[11] R. Bouc Forced vibrations of a mechanical system with hysteresis, Proc. 4th Conf. on Nonlinear Oscillations, Prague, Czechoslovakia, 1967

[12] O. Coussy Mechanics of Porous Continua, Wiley, Chichester, 1995

[13] Z.P. Bazant Endochronic inelasticity and incremental plasticity, Int. J. Solids Structures, Volume 14 (1978), pp. 691-714

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