Classification and modeling of uniaxial rate-independent hysteresis phenomena: some preliminary results

Classification and modeling of uniaxial rate-independent hysteresis phenomena: some preliminary results

Nicolò Vaiana, Luciano Rosati

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Abstract. In this paper, we propose a preliminary classification of complex generalized force-displacement hysteresis loops, that is, asymmetric, pinched, S-shaped, flag-shaped hysteresis loops or those obtained as arbitrary combination of them, that generally characterize the nonlinear response of mechanical systems and materials. Subsequently, we present a preliminary formulation of a novel phenomenological model capable of reproducing such complex hysteresis phenomena and we illustrate the different types of hysteresis loop shapes that can be simulated. Finally, we perform an experimental verification of the proposed model by adopting some experimental hysteresis loops retrieved from the literature.

Complex Hysteresis Loop, Mechanical Hysteresis, Rate-Independent Model

Published online 3/17/2022, 6 pages
Copyright © 2023 by the author(s)
Published under license by Materials Research Forum LLC., Millersville PA, USA

Citation: Nicolò Vaiana, Luciano Rosati, Classification and modeling of uniaxial rate-independent hysteresis phenomena: some preliminary results, Materials Research Proceedings, Vol. 26, pp 375-380, 2023


The article was published as article 61 of the book Theoretical and Applied Mechanics

Content from this work may be used under the terms of the Creative Commons Attribution 3.0 license. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.

[1] A. Filiatrault, S. Kremmidas, Seismic interaction of interconnected electrical substation equipment, J. Struct. Eng., ASCE 126 (2000) 1140-1149.
[2] S. P. Schneider, I. Teeraparbwong, Inelastic behavior of bolted flange plate connections, J. Struct. Eng., ASCE 128 (2002) 492-500.
[3] A. Manzoori, H. Toopchi-Nezhad, Application of an extended Bouc-Wen model in seismic response prediction of unbonded fiber-reinforced isolators, J. Earthquake Eng. 21 (2017) 87-104.
[4] A. Hashemi, P. Zarnani, P. Quenneville, Seismic assessment of rocking timber walls with energy dissipation devices, Eng. Struct. 221 (2020) 111053.
[5] H. Lim, F. Lam, R. Foschi, M. Li, Modeling load-displacement hysteresis relationship of a single-shear nail connection, J. Eng. Mech., ASCE 143 (2017) 04017015.
[6] G. Demetriades, M. Constantinou, A. Reinhorn, Study of wire rope systems for seismic protection of equipment in buildings, Eng. Struct. 15 (1993) 321-334.
[7] T. Baber, M. Noori, Random vibration of degrading, pinching systems, J. Eng. Mech., ASCE 111 (1985) 1010-1026.
[8] Y. Chen, G. Ahmadi, Wind effects on base-isolated structures. J. Eng. Mech., ASCE 118 (1992) 1708-1727.
[9] E. Graesser, F. Cozzarelli, Shape-memory alloys as new materials for aseismic isolation, J. Eng. Mech., ASCE 117 (1991) 2590-2608.
[10] N. Vaiana, S. Sessa, F. Marmo, L. Rosati, A class of uniaxial phenomenological models for simulating hysteretic phenomena in rate-independent mechanical systems and materials. Nonlinear Dyn. 93 (2018) 1647-1669.
[11] N. Vaiana, S. Sessa, L. Rosati, A generalized class of uniaxial rate-independent models for simulating asymmetric mechanical hysteresis phenomena. Mech. Syst. Sig. Process. 146 (2021) 106984.
[12] N. Vaiana, S. Sessa, F. Marmo, L. Rosati, An accurate and computationally efficient uniaxial phenomenological model for steel and fiber reinforced elastomeric bearings. Compos. Struct. 211 (2019) 196-212.
[13] N. Vaiana, S. Sessa, F. Marmo, L. Rosati, Nonlinear dynamic analysis of hysteretic mechanical systems by combining a novel rate-independent model and an explicit time integration method. Nonlinear Dyn. 98 (2019) 2879-2901.
[14] N. Vaiana, D. Losanno, N. Ravichandran, A novel family of multiple springs models suitable for biaxial rate-independent hysteretic behavior, Comput. Struct. 244 (2021) 106403.
[15] D. Losanno, F. Palumbo, A. Calabrese, T. Barrasso, N. Vaiana, Preliminary investigation of aging effects on Recycled Rubber Fiber Reinforced Bearings (RR-FRBs), J. Earthquake Eng. (2021).
[16] S. Sessa, F. Marmo, N. Vaiana, D. De Gregorio, L. Rosati, Strength hierarchy provisions for transverse confinement systems of shell structural elements, Composites, Part B. 163 (2019) 413-423.