The objective of this study is to apply a constitutive damage model for cyclic response of E-shaped dampers as well as metal and metallic plate dampers in order to be used in more broad area such as material and component level. Seismic isolation system using sliding bearings and metallic dampers experience almost elastoplastic behavior due to seismic excitation. Accordingly, a cyclic damage model is applied to understand inelastic behavior and to evaluate a potential damaged state of E-shaped dampers in seismic isolation system. This damage model is originally formulated through a thermodynamic approach based on entropy production equation. The proposed cyclic damage model is implemented as a user subroutine in the finite element software ABAQUS. Finally, numerical results of E-shaped energy dissipation devices in seismic isolation system are compared with experimental data to check the validity of this model