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Hysteretic models that incorporate strength and stiffness deterioration Luis F. Ibarra1;∗; †; ‡, Ricardo A. Medina2 and Helmut Krawinkler3 1Southwest Research Institute; CNWRA; San Antonio; TX 78238; U.S.A. 2Department of Civil and Environmental Engineering; University of Maryland; College Park; MD 20742; U.S.A. 3Department of Civil and Environmental Engineering; Stanford University; Palo Alto; CA 94305; U.S.A. SUMMARY This paper presents the description, calibration and application of relatively simple hysteretic models that include strength and stiness deterioration properties, features that are critical for demand predictions as a structural system approaches collapse. Three of the basic hysteretic models used in seismic demand evaluation are modied to include deterioration properties: bilinear, peak-oriented, and pinching. The modied models include most of the sources of deterioration: i.e. various modes of cyclic deterioration and softening of the post-yielding stiness, and also account for a residual strength after deterioration. The models incorporate an energy-based deterioration parameter that controls four cyclic deterioration modes: basic strength, post-capping strength, unloading stiness, and accelerated reloading stiness deterioration. Calibration of the hysteretic models on steel, plywood, and reinforced-concrete components demonstrates that the proposed models are capable of simulating the main characteristics that inuence deterioration. An application of a peak-oriented deterioration model in the seismic evaluation of single-degree-of-freedom (SDOF) systems is illustrated. The advantages of using deteriorating hysteretic models for obtaining the response of highly inelastic systems are discussed. Copyright ? 2005 John Wiley & Sons, Ltd. KEY WORDS: hysteretic behaviour; strength deterioration; cyclic deterioration; collapse منبع دانلود از پیوست HEERAD.IR-Ibarra Medina Krawinkler.pdf