*Article* **Performance-Based Assessment of Bridges with Novel SMA-Washer-Based Self-Centering Rocking Piers**

**Jiawei Chen <sup>1</sup> , Dong Liang <sup>1</sup> , Xin You 2,\* and Hao Liang 3,\***


**\*** Correspondence: 2022740001@qhu.edu.cn (X.Y.); liangboju@my.swjtu.edu.cn (H.L.); Tel.: +86-138-9741-0751 (X.Y.); +86-152-0922-0506 (H.L.)

**Abstract:** This study discussed a novel self-centering rocking (SCR) bridge system equipped with shape memory alloy (SMA)-based piers, with a particular focus on the benefit of the SCR bridge system in a life-cycle context. The study commences with an introduction of the SCR bridge system; subsequently, a life-cycle loss and resilience assessment framework for the SCR bridge system is presented. Specifically, the seismic fragility, resilience, and life-cycle loss associated with the SCR and conventional bridge systems were addressed. The proposed life-cycle assessment framework was finally applied to two highway bridges with and without SMA washer-based rocking piers, considering the representative hazard scenarios that could happen within the investigated regions. The results revealed that the novel SCR pier bridge system slightly increased the bearing displacement but extensively reduced the pier curvature ductility due to the rocking mechanism. The SCR bridge system kept a lower life-cycle loss level and exhibited more resilient performance than the conventional bridge, especially in the region with higher seismic intensities. Indirect loss can be significantly larger than the direct loss, specifically for the earthquakes with a relatively low probability of occurrence. The SCR bridge system outperformed the conventional system in terms of recovery time, where a quick recovery after an earthquake and drastically decreased the social and economic losses.

**Keywords:** self-centering rocking (SCR) piers; shape memory alloy (SMA); seismic fragility; resilience; life-cycle loss
