Analytical relationships between permanent and maximum displacements for post-earthquake evaluation using advanced hysteretic models

Implementing advanced material-specific hysteretic models in structural analysis has opened new possibilities for post-earthquake damage assessment. This study introduces a novel methodology for estimating maximum seismic displacements utilizing the Takeda model for reinforced concrete and the AlBermani model for steel structures in single-degree-of-freedom systems. The research establishes correlations between residual and maximum displacements based on an extensive series of numerical simulations incorporating far-field and near-fault earthquake records. The developed mathematical relationships account for the distinct hysteretic behavior of different structural materials, providing a practical tool for post-earthquake evaluation. Field measurements of residual deformations can be directly applied to these relationships, enabling rapid assessment of maximum displacement demands experienced during seismic events. Statistical validation demonstrates the reliability of the proposed approach across various ground motion characteristics and structural parameters.