Skip to content

Multi-dimensional damage measure for seismic reliability analysis

Research output: Contribution to journalArticle

Original languageEnglish
Pages (from-to)1-11
Number of pages11
JournalStructural Safety
Early online date20 Dec 2018
DateAccepted/In press - 12 Dec 2018
DateE-pub ahead of print - 20 Dec 2018
DatePublished (current) - 1 May 2019


A new multi-variate approach for assessing the seismic performance of structures is proposed. The classical safety factor formulation in structural reliability is adopted considering multi-dimensional limit state functions that are defined in terms of demand-over-capacity ratios. Variable definitions of multi-dimensional limit state functions represent additional epistemic uncertainty in reliability problems. The use of different multi-dimensional limit state functions is investigated either in terms of variability on the resulting fragility curves and as effect on the risk by calculating the probability of exceeding prescribed limit states. The proposed method is demonstrated by analyzing four non-ductile reinforced concrete structures and by considering bi-dimensional damage measures in terms of maximum inter-story drift and residual drift. Results show that for limit states where the structure behaves elastically, there is no significant effect on the fragility and risk when alternative multi-dimensional measures are adopted. Conversely, average variations up to 10% on the assessment of the probability of failure are observed for limit states where the structure behaves nonlinearly; such variations can be as large as 50% for some particular cases.

    Research areas

  • Incremental dynamic analysis, Limit state function, Multi-dimensional damage measure, Performance-based earthquake engineering, Risk assessment



  • Full-text PDF (accepted author manuscript)

    Rights statement: This is the author accepted manuscript (AAM). The final published version (version of record) is available online via Elsevier at . Please refer to any applicable terms of use of the publisher.

    Accepted author manuscript, 2.05 MB, PDF document

    Embargo ends: 20/12/20

    Request copy

    Licence: CC BY-NC-ND


View research connections

Related faculties, schools or groups