Hysteretic Models for Deteriorating Inelastic Structures
Publication: Journal of Engineering Mechanics
Volume 126, Issue 6
Abstract
The modeling of deteriorating hysteretic behavior is becoming increasingly important, especially in the context of seismic analysis and design. This paper presents the development of a versatile smooth hysteretic model based on internal variables, with stiffness and strength deterioration and with pinching characteristics. The theoretical background, development, and implementation of the model are discussed. Examples are shown to illustrate the features of the model. Many inelastic constitutive models in popular use have been developed independently of each other based on different behavioral, physical, or mathematical motivations. This paper attempts to unify the concepts underlying such models. Such a holistic understanding is essential to realize limitations in application of inelastic models and to extend 1D models to 3D models featuring interaction between various stress resultants.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Baber, T. T., and Noori, M. N. (1985). “Random vibration of degrading, pinching systems.”J. Engrg. Mech., ASCE, 111(8), 1010–1026.
2.
Bazant, Z. P., and Bhat, P. D. (1976). “Endochronic theory of inelasticity and failure of concrete.”J. Engrg. Mech. Div., ASCE, 102(4), 701–722.
3.
Biot, M. A. (1954). “Theory of stress-strain relations in anisotropic viscoelasticity and relaxation phenomena.” J. Appl. Phys., 25(11), 1385–1391.
4.
Bouc, R. (1967). “Forced vibration of mechanical systems with hysteresis.” Proc., 4th Conf. on Non-linear Oscillations.
5.
Casciati, F. (1989). “Stochastic dynamics of hysteretic media.” Struct. Safety, Amsterdam, 6, 259–269.
6.
Clough, R. W. (1966). “Effects of stiffness degradation on earthquake ductility requirement.” Rep. No. 6614, Struct. and Mat. Res., University of California, Berkeley, Calif.
7.
Constantinou, M. C., and Adnane, M. A. (1987). “Dynamics of soil-base-isolated-structure systems.” Rep. to National Science Foundation.
8.
Fung, Y. C. (1965). Foundations of solid mechanics. Prentice-Hall, Englewood Cliffs, N.J.
9.
Iwan, W. D. (1966). “A distributed-element model for hysteresis and its steady-state dynamic response.” J. Appl. Mech., 33(42), 893–900.
10.
Lubliner, J. (1990). Plasticity theory. Macmillan, New York.
11.
Masing, G. (1926). “Eigenspannungen und Verfestigung beim Messing.” Proc., 2nd Int. Cong. Appl. Mech., 332–335 (in German).
12.
Menegotto, M., and Pinto, P. (1973). “Method of analysis for cyclically loaded RC plane frames including changes in geometry and non-elastic behavior of elements under combined normal force and bending.” Proc., Symp. Resistance and Ultimate Deformability of Struct. Acted on by Well-Defined Repeated Loads, IABSE Reports, Vol. 13.
13.
Mostaghel, N. (1999). “Analytical description of pinching, degrading hysteretic systems.”J. Engrg. Mech., ASCE, 125(2), 216–224.
14.
Nagarajaiah, S., Reinhorn, A. M., and Constantinou, M. C. (1989). “Nonlinear dynamic analysis of three dimensional base isolated structures (3D-BASIS).” Tech. Rep. NCEER-89-0019, State University of New York at Buffalo, Buffalo, N.Y.
15.
Ozdemir, H. ( 1976). “Nonlinear transient dynamic analysis of yielding structures.” PhD dissertation, University of California, Berkeley, Calif.
16.
Park, Y. J., Reinhorn, A. M., and Kunnath, S. K. (1987). “IDARC: Inelastic damage analysis of reinforced concrete frame—shear-wall structures.” Tech. Rep. NCEER-87-0008, State University of New York at Buffalo, Buffalo, N.Y.
17.
Ramberg, W., and Osgood, W. R. ( 1943). “Description of stress-strain curves by three parameters.” Tech. Note 902, National Advisory Committee on Aeronautics.
18.
Reichman, Y., and Reinhorn, A. M. (1995). “Extending seismic life span of bridges.” Struct. Engrg. Rev., Oxford England, 7(3), 207–218.
19.
Reinhorn, A. M., Madan, A., Valles, R. E., Reichmann, Y., and Mander, J. B. (1995). “Modeling of masonry infill panels for structural analysis.” Tech. Rep. NCEER-95-0018, State University of New York at Buffalo, Buffalo, N.Y.
20.
SAC Joint Venture. (1996). “Experimental investigations of beam-column subassemblages.” Rep. No. SAC-96-01, Parts I and II, Sacramento, Calif.
21.
Simeonov, V. ( 1999). “Three-dimensional inelastic dynamic structural analysis of frame systems.” PhD dissertation, State University of New York at Buffalo, Buffalo, N.Y.
22.
Sivaselvan, M. V., and Reinhorn, A. M. (1999). “Hysteretic models for cyclic behavior of deteriorating inelastic structures.” Tech. Rep. MCEER-99-0018, Multidisciplinary Ctr. for Earthquake Engrg. Res., State University of New York at Buffalo, Buffalo, N.Y.
23.
Soong, T. T., and Dargush, G. F. (1997). Passive energy dissipation systems in structural engineering. Wiley, New York.
24.
Takeda, T., Sozen, M. A., and Nielsen, N. N. (1970). “Reinforced concrete response to simulated earthquakes.”J. Struct. Div., ASCE, 96(12), 2557–2573.
25.
Thyagarajan, R. S. (1989). “Modeling and analysis of hysteretic structural behavior.” Rep. No. EERL 89-03, California Institute of Technology, Pasadena, Calif.
26.
Valanis, K. C. (1971). “A theory of viscoplasticity without a yield surface.” Archives of Mech., 23(4), 517–533.
27.
Valanis, K. C. (1980). “Fundamental consequences of a new intrinsic time measure—Plasticity as a limit of the endochronic theory.” Archives of Mech., 32(2), 171–191.
28.
Valles, R. E., Reinhorn, A. M., Kunnath, S. K., Li, C., and Madan, A. (1996). “IDARC 2D 2D version 4.0: A program for the inelastic damage analysis of buildings.” Tech. Rep. NCEER-96-0010, Nat. Ctr. for Earthquake Engrg. Res., State University of New York at Buffalo, Buffalo, N.Y.
29.
Wen, Y.-K. (1976). “Method for random vibration of hysteretic systems.”J. Engrg. Mech. Div., ASCE, 102(2), 249–263.
30.
Zaiming, L., and Katukura, H. (1990). “Markovian hysteretic characteristics of structures.”J. Engrg. Mech., ASCE, 116(8), 1798–1811.
Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 126 • Issue 6 • June 2000
Pages: 633 - 640
History
Received: Jul 6, 1999
Published online: Jun 1, 2000
Published in print: Jun 2000
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.