Since it is not economical to design structures to respond to earthquake lo
ads in their elastic range, dissipation of energy by post-elastic deformati
on has been recommended. This requires an understanding of the hysteretic b
ehaviour of structural members. A mathematical model is proposed for the hy
steretic response of steel members. The model is based on a pre-defined ske
leton curve, and consists of a linear and a non-linear region. The linear r
egion is twice the elastic length on the skeleton curve, while the non-line
ar region is formed by superimposing an elliptical dissipation function on
the skeleton curve. The shape of the proposed dissipation function and the
hysteretic loops are compared with experimental results. Good agreement has
been noted. Furthermore, it is shown that stiffness degradation can be eas
ily incorporated in the model. While the model can currently by used in the
analysis of accumulated damages for steel structures, it has the potential
to be extended to reinforced concrete structures, as well. Copyright (C) 1
999 John Wiley & Sons, Ltd.