1. Assessing fragility of a reinforced concrete element to snow avalanches using a non-linear dynamic mass-spring model
- Author
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P. Favier, D. Bertrand, N. Eckert, I. Ousset, M. Naaim, Erosion torrentielle neige et avalanches (UR ETGR (ETNA)), Institut national de recherche en sciences et technologies pour l'environnement et l'agriculture (IRSTEA), Centro de Investigación para la Gestión Integrada del Riesgo de Desastres (CIGIDEN ), Pontificia Universidad Católica de Chile (UC), Mécanique des Matériaux et des Structures (M2S), Géomécanique, Matériaux et Structures (GEOMAS), Institut National des Sciences Appliquées de Lyon (INSA Lyon), Université de Lyon-Institut National des Sciences Appliquées (INSA)-Université de Lyon-Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées de Lyon (INSA Lyon), Université de Lyon-Institut National des Sciences Appliquées (INSA)-Université de Lyon-Institut National des Sciences Appliquées (INSA), The authors are grateful to the ANR research program MOPERA (MOdélisation Probabiliste pour l'Etude du Risque d'Avalanche), the MAP3 ALCOTRA INTERREG program, the Chilean National Commission for Scientific and Technological Research (CONICYT) under grant Redes 150119 and grant Fondecyt Postdoc 3160483, the Chilean National Research Center for Integrated Natural Disaster Management CONICYT/FONDAP/15110017 (CIGIDEN), and the ECOS-CONICYT Scientific cooperation program under project 'Multi-risk assessment in Chile and France: application to seismic engineering and mountain hazards ECOS170044 and ECOS action C17U02' for financially supporting this work., ANR-09-RISK-0007,MOPERA,MOdélisation Probabiliste pour l'Evaluation du Risque Avalanche(2009), Institut National des Sciences Appliquées (INSA)-Université de Lyon-Institut National des Sciences Appliquées (INSA)-Université de Lyon-Institut National des Sciences Appliquées de Lyon (INSA Lyon), and Institut National des Sciences Appliquées (INSA)-Université de Lyon-Institut National des Sciences Appliquées (INSA)-Université de Lyon
- Subjects
Engineering ,010504 meteorology & atmospheric sciences ,0211 other engineering and technologies ,02 engineering and technology ,Bending ,01 natural sciences ,lcsh:TD1-1066 ,Fragility ,Sensitivity (control systems) ,lcsh:Environmental technology. Sanitary engineering ,lcsh:Environmental sciences ,Reliability (statistics) ,0105 earth and related environmental sciences ,lcsh:GE1-350 ,021110 strategic, defence & security studies ,business.industry ,[SDE.IE]Environmental Sciences/Environmental Engineering ,lcsh:QE1-996.5 ,lcsh:Geography. Anthropology. Recreation ,Structural engineering ,Finite element method ,lcsh:Geology ,lcsh:G ,Dynamic loading ,General Earth and Planetary Sciences ,Dynamic pressure ,Material properties ,business - Abstract
This paper presents an assessment of the fragility of a reinforced concrete (RC) element subjected to avalanche loads, and more generally to dynamic pressure fields applied orthogonally to a wall, within a reliability framework. In order to obtain accurate numerical results with supportable computation times, a light and efficient Single-Degree-of-Freedom (SDOF) model describing the mechanical response of the RC element is proposed. The model represents its dynamic mechanical response up to failure. Material non-linearity is taken into account by a moment–curvature approach, which describes the overall bending response. The SDOF model is validated under quasi-static and dynamic loading conditions by comparing its results to alternative approaches based on finite element analysis and the yield line theory. Following this, the deterministic SDOF model is embedded within a reliability framework to evaluate the failure probability as a function of the maximal avalanche pressure reached during the loading. Several reliability methods are implemented and compared, suggesting that non-parametric methods provide significant results at a moderate level of computational burden. The sensitivity to material properties, such as tensile and compressive strengths, steel reinforcement ratio, and wall geometry is investigated. The effect of the avalanche loading rate is also underlined and discussed. Finally, the obtained fragility curves are compared with respect to the few proposals available in the snow avalanche engineering field. This approach is systematic and will prove useful in refining formal and practical risk assessments. It could be applied to other similar natural hazards, which induce dynamic pressure fields onto the element at risk (e.g., mudflows, floods) and where potential inertial effects are expected and for which fragility curves are also lacking.
- Published
- 2018
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