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Keywords = aftershock fragility assessment

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23 pages, 7586 KB  
Article
Mainshock–Aftershock Fragility Assessments of Corroded Reinforced Concrete Structures Considering FRP Retrofitting Effect
by Wei-Qiang Xu, Wei-Zhen Xu, Ze-Bang Guo, Da-Peng Yao, Shuai Li, Kuang-Yu Dai and Zhou Zhou
Buildings 2025, 15(24), 4483; https://doi.org/10.3390/buildings15244483 - 11 Dec 2025
Viewed by 176
Abstract
Corrosion in reinforced concrete (RC) structures increases seismic fragility by reducing strength, ductility, and bond integrity, which becomes critical in aging infrastructure. This study provides a systematic fragility comparison of intact, corroded, and FRP-strengthened structures across multiple corrosion levels under sequential earthquakes. The [...] Read more.
Corrosion in reinforced concrete (RC) structures increases seismic fragility by reducing strength, ductility, and bond integrity, which becomes critical in aging infrastructure. This study provides a systematic fragility comparison of intact, corroded, and FRP-strengthened structures across multiple corrosion levels under sequential earthquakes. The seismic fragility of corroded RC frames, with and without fiber-reinforced polymer (FRP) retrofitting, is investigated under both mainshock and aftershock loading conditions. A total of 508 real recorded mainshock–aftershock ground motion sequences are selected as seismic inputs to ensure the representation of earthquake demands. Nonlinear time history analyses are carried out to establish fragility curves for four limit states based on probabilistic demand–capacity relationships. The results show that corrosion significantly decreases the collapse prevention capacity (LS4), with the maximum reduction reaching about 62%. FRP retrofitting restores seismic performance to varying degrees depending on corrosion severity. For the structure with a 10% corrosion rate, FRP retrofitting enhances the collapse capacity beyond that of the intact case. For the structure with a 20% corrosion rate, FRP retrofitting recovers approximately two-thirds of the lost capacity caused by reduced ductility. The consideration of aftershock effects further increases the fragility of corroded structures, yet FRP retrofitting continues to provide improvement by reducing cumulative damage and improving deformation capacity. The study confirms that the FRP confinement effectively enhances the seismic resilience of aging RC structures and provides a practical basis for performance-based retrofit strategies under sequential earthquake events. Full article
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22 pages, 6850 KB  
Article
Evaluation of the Residual Seismic Capacity of Post-Earthquake Damaged RC Columns Based on the Damage Distribution Model
by Lei Li, Jing Chen and Wentao Wang
Buildings 2023, 13(3), 595; https://doi.org/10.3390/buildings13030595 - 23 Feb 2023
Cited by 4 | Viewed by 3116
Abstract
Evaluation of the residual seismic capacity (RSC) of post-earthquake damaged buildings is instrumental to the formation of reasonable recovery strategies. At present, incremental dynamic analysis (IDA) that considers the mainshock and aftershock is the method most frequently used to evaluate the RSC of [...] Read more.
Evaluation of the residual seismic capacity (RSC) of post-earthquake damaged buildings is instrumental to the formation of reasonable recovery strategies. At present, incremental dynamic analysis (IDA) that considers the mainshock and aftershock is the method most frequently used to evaluate the RSC of damaged structures. However, the mainshock-induced structural damage determined using the IDA method may be inconsistent with the damage observed in actual engineering. This inconsistency could potentially lead to an unreasonable evaluation result. To overcome this drawback, it is necessary to evaluate the RSC of damaged structures according to their observed damage instead of that obtained by the IDA. In this paper, a method of evaluating the RSC of damaged reinforced concrete (RC) columns is proposed. First, the damage degree and distribution of the damaged columns were evaluated via visual inspection after mainshocks. Then, a numerical model was developed to predict the residual behavior of damaged columns subjected to aftershocks. After that, the RSC of damaged columns was estimated based on fragility analysis. The degradation of the collapse capacity of damaged columns was quantified by the collapse fragility index (CFI), and a parameter analysis was conducted to study the effect of structural parameters on the CFI of damaged columns. Lastly, an empirical model for predicting the CFI was proposed, facilitating the application of this study in actual post-earthquake assessments. The parameter analysis indicates that the axial load ratio of the columns and the degree of damage degree accumulated during mainshocks have a significant effect on the CFI. Additionally, the proposed empirical model can effectively predict the degradation of the collapse capacity of RC columns in existing test data, with an accuracy of 0.82. Full article
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18 pages, 4743 KB  
Article
Aftershock Fragility Assessment of Continuous RC Girder Bridges Using a Modified Damage Index
by Zhengnan Wang, Xiaowei Deng, Xiheng Luo, Xinzhi Dang and Junjun Guo
Buildings 2022, 12(10), 1675; https://doi.org/10.3390/buildings12101675 - 12 Oct 2022
Cited by 4 | Viewed by 2508
Abstract
Aftershock fragility is usually calculated conditioned on a range of potential post-mainshock damage states. The post-mainshock damage can be identified using damage indices, the latter being frequently associated with displacement-based parameters such as the maximum drift ratio or the residual displacement. However, when [...] Read more.
Aftershock fragility is usually calculated conditioned on a range of potential post-mainshock damage states. The post-mainshock damage can be identified using damage indices, the latter being frequently associated with displacement-based parameters such as the maximum drift ratio or the residual displacement. However, when the reliable simulation of a structural system in a specific post-mainshock damage state is the objective of a numerical study, using such damage indicators may not assure the structure experiencing a homogeneous level of damage due to different mainshocks characteristics, which induce the aftershock fragility results unreliable. Along these lines, the current study presents a damage evaluation methodology mainly used for aftershock fragility assessment. It aims to reduce the variation of damage levels derived by using different mainshock seismic motions. The methodology presented herein includes: (i) the introduction of a damage index defined by comparing the monotonic pushover curve of the intact and post-earthquake damaged structure; (ii) the description of a finite element (FE)-based scheme that enables to quantify of the proposed damage index; and (iii) a deterioration-related modeling technique that can capture both strength and stiffness degrading performance of structural systems exposed to earthquake-induced excitations. The latter is essential to support the FE-based quantification scheme for the damage index. This methodology evaluation methodology can be primarily used for calculating the aftershock fragility assessment for a multi-span RC continuous girder bridge. The back-to-back incremental dynamic analysis framework uses a larger number of mainshock-aftershock artificial sequences to generate the aftershock fragility curves. The AS fragility results obtained via MBDI are compared with that via maximum drift ratio in terms of the ability to reduce the variation of residual capacities obtained using different mainshocks to induce a specific damage state but collapse by the same aftershock. The comparison shows a more robust relationship of MBDI with the residual capacity. It is found that MBDI, as well as its quantification approach proposed in this study, is a more effective damage predictor than the widely used displacement-based indices for AS fragility assessment. Full article
(This article belongs to the Special Issue Improvement Technology on Building Seismic Toughness)
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18 pages, 1859 KB  
Article
Mainshock-Integrated Aftershock Vulnerability Assessment of Bridge Structures
by Xuan Guo, Zheyu Zhang and ZhiQiang Chen
Appl. Sci. 2020, 10(19), 6843; https://doi.org/10.3390/app10196843 - 29 Sep 2020
Cited by 6 | Viewed by 3731
Abstract
Seismic fragility analysis is often conducted to quantify the vulnerability of civil structures under earthquake excitation. In recent years, besides mainshocks, strong aftershocks have been often witnessed to induce structural damage to engineered structures, including bridges. How to accurately and straightforwardly quantify the [...] Read more.
Seismic fragility analysis is often conducted to quantify the vulnerability of civil structures under earthquake excitation. In recent years, besides mainshocks, strong aftershocks have been often witnessed to induce structural damage to engineered structures, including bridges. How to accurately and straightforwardly quantify the vulnerability of bridges due to sequential mainshocks and aftershocks is essential for an efficient assessment of bridge performance. While recognizing the limitation of existing methods, this paper proposes a mainshock integrated aftershock fragility function model, which empirically encodes the effects of mainshocks and retains the simple form of traditional fragility curves. A pile foundation-supported bridge system is modeled considering seismic soil-structure interaction to demonstrate the proposed fragility model. Numerical examples show that the resulting fragility curves incorporate the initial value for the probability of collapse of the bridge system due to a mainshock and the effects of the variable aftershocks conditional on the mainshock. Statistical analysis confirms that the proposed model fits the simulated vulnerability data (e.g., seismic intensities of aftershocks and the response demands conditional a select mainshock ground motion) both accurately and robustly. Full article
(This article belongs to the Special Issue Bridge Dynamics: Volume II)
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