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A method to quantitatively assess the vulnerability of masonry structures subjected to rockfalls

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Abstract

This paper proposes a quantitative method to assess the physical vulnerability of masonry buildings subjected to rockfalls. The impact of a boulder either results in no damage or in a local damage. Depending on the impact energy and the geometrical disposition of the structural and non-structural elements of the building, the local damage can further propagate across the structure, implying a (partial or global) collapse. Three mechanisms of local failure for the masonry walls are considered: punching, arching and vertical bending. For each of them, the method allows to evaluate the equivalent horizontal force exerted on the wall. The most likely local failure mode is then identified considering a full plastic impact model. For sake of simplicity, the damage propagation is geometrically treated with some further information about the arrangement and the typology of the structural elements. Some practical recommendations for on-site surveying concerning building heritage are also given in the text. Finally, the proposed approach is applied to a real case study in order to test its applicability.

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References

  • Agliardi F, Crosta GB, Frattini P (2009) Integrating rockfall risk assessment and countermeasure design by 3D modelling techniques. Natural Hazards and Earth System Sciences 9(4):1059

    Google Scholar 

  • Arifovic F, Nielsen MP (2006) Strength of anchors in masonry. Technical report, Technical University of Denmark

  • Barczak T.M (2005) Evaluation of the transverse load capacity of block stoppings for mine ventilation control. PhD thesis, West Virginia University

  • Beolchini GC, Cifani G, Pucci GG, Catalino S, Spuri C, Corazza L, Martinelli A, Petracca A, Petrini V, Cialone G et al (2002) Repertorio dei meccanismi di danno, delle tecniche di intervento e dei relativi costi negli edifici in muratura. Technical report, Regione Marche

  • Bertrand D, Kassem F, Delhomme F, Limam A (2015) Reliability analysis of an RC member impacted by a rockfall using a nonlinear SDOF model. Eng Struct 89:93–102

    Google Scholar 

  • Campus S, Castelli M, Grisolia M, Pispico R, Lanteri L, Barbero M (2016) Qproto—una procedura in ambiente gis per la stima a piccola scala della propagazione di crolli in roccia. Conoscere per Comunicare—Book of abstracts, pp 38–39

  • Cardinali M, Reichenbach P, Guzzetti F, Ardizzone F, Antonini G, Galli M, Cacciano M, Castellani M, Salvati P (2002) A geomorphological approach to the estimation of landslide hazards and risks in Umbria, Central Italy. Nat Hazards Earth Syst Sci 2(1/2):57–72

    Google Scholar 

  • Castelli M, Scavia C (2007) Rock fall susceptibility on a large scale: a mechanical-probabilistic methodology. In: 11th Congress of the International Society for Rock Mechanics (ISRM 2007)

  • Castelli M, Scavia C (2008) A multidisciplinary methodology for hazard and risk assessment of rock avalanches. Rock Mech Rock Eng 41(1):3–36

    Google Scholar 

  • Corbett GG, Reid SR, Johnson W (1996) Impact loading of plates and shells by free-flying projectiles: a review. Int J Impact Eng 18(2):141–230

    Google Scholar 

  • Corominas J, Mavrouli O (2015) Quantitative rockfall risk assessment in the roadways of Gipuzkoa. In: Engineering Geology for Society and Territory, vol 2. Springer, pp 1813–1816

  • Corominas J, Copons R, Moya J, Vilaplana JM, Altimir J, Amigó J (2005) Quantitative assessment of the residual risk in a rockfall protected area. Landslides 2(4):343–357

    Google Scholar 

  • Crosta GB, Agliardi F (2004) Parametric evaluation of 3d dispersion of rockfall trajectories. Nat Hazards Earth Syst Sci 4(4):583–598

    Google Scholar 

  • Crosta GB, Agliardi F, Frattini P, Lari S (2015) Key issues in rock fall modeling, hazard and risk assessment for rockfall protection. In Engineering Geology for Society and Territory, vol 2. Springer, pp 43–58

  • Daudeville L, Malécot Y (2011) Concrete structures under impact. Eur J Environ Civ Eng 15(sup1):101–140

    Google Scholar 

  • De Biagi V (2017) Brief communication: accuracy of the fallen blocks volume-frequency law. Nat Hazards Earth Syst Sci 17(9):1487–1492

    Google Scholar 

  • De Biagi V, Chiaia B, Frigo B (2015) Impact of snow avalanche on buildings: forces estimation from structural back-analyses. Eng Struct 92:15–28

    Google Scholar 

  • De Biagi V, Napoli ML, Barbero M (2017a) A quantitative approach for the evaluation of rockfall risk on buildings. Nat Hazards 88(2):1059–1086

    Google Scholar 

  • De Biagi V, Napoli ML, Barbero M, Peila D (2017b) Estimation of the return period of rockfall blocks according to their size. Nat Hazards Earth Syst Sci 17(1):103–113

    Google Scholar 

  • Delhomme F, Mommessin M, Mougin J-P, Perrotin P (2007a) Damage mechanisms of a reinforced concrete rock-shed slab impacted by blocks. J Struct Eng 133(10):1426–1433

    Google Scholar 

  • Delhomme F, Mommessin M, Mougin JP, Perrotin P (2007b) Simulation of a block impacting a reinforced concrete slab with a finite element model and a mass-spring system. Eng Struct 29(11):2844–2852

    Google Scholar 

  • Dizhur D, Walsh K, Giongo I, Derakhshan H, Ingham J (2018) Out-of-plane proof testing of masonry infill walls. In: Structures, vol 15. Elsevier, pp 244–258

  • Dorren LKA (2015) Rockyfor3d (v5. 2) revealed-transparent description of the complete 3d rockfall model. EcorisQ paper (www.ecorisq.org)

  • Dorren LKA, Berger F, le Hir C, Mermin E, Tardif P (2005) Mechanisms, effects and management implications of rockfall in forests. For Ecol Manag 215(1–3):183–195

    Google Scholar 

  • Dorren LKA, Domaas U, Kronholm K, Labiouse V (2011) Methods for predicting rockfall trajectories and runout zones. Technical report, Wiley, ISTE ltd

  • Dussauge C, Grasso J-R, Helmstetter A (2003) Statistical analysis of rockfall volume distributions: implications for rockfall dynamics. J Geophys Res Solid Earth 108(B6):2286

    Google Scholar 

  • Egli T (2005) Protection des objects contre les dangers naturels gravitationnels. Association des établissements cantonaux d’assurance incendie, Berne

  • Egli T, Roth C, Marro C (2005) Recommandations: Protection des objets contre les dangers naturels gravitationnels. Association des établissements cantonaux d’assurance incendie (AEAI)

  • Fell R (1994) Landslide risk assessment and acceptable risk. Can Geotech J 31(2):261–272

    Google Scholar 

  • Fell R, Ho KKS, Lacasse S, Loroi E (2005) A framework for landslide risk assessment and management. In: Hungr O, Fell R, Couture R, Eberhardt E (eds) International conference on landslide risk management, 31 May–3 June 2005 Vancouver, Canada, pp 3–25

  • Ferlisi S, Cascini L, Corominas J, Matano F (2012) Rockfall risk assessment to persons travelling in vehicles along a road: the case study of the Amalfi coastal road (southern Italy). Nat Hazards 62(2):691–721

    Google Scholar 

  • Ferrero AM, Migliazza M, Roncella R, Rabbi E (2011) Rock slopes risk assessment based on advanced geostructural survey techniques. Landslides 8(2):221–231

    Google Scholar 

  • Giacomelli P, Sterlacchini S, De Amicis M (2003) La valutazione del rischio di frana (in Italian). AESTIMUM 42:31–52

    Google Scholar 

  • Gilbert M, Hobbs B, Molyneaux TCK (2002) The performance of unreinforced masonry walls subjected to low-velocity impacts: experiments. Int J Impact Eng 27(3):231–251

    Google Scholar 

  • Glade T (2003) Vulnerability assessment in landslide risk analysis. Erde 134(2):123–146

    Google Scholar 

  • Glade T, Anderson MG, Crozier MJ (2006) Landslide hazard and risk. Wiley, Hoboken

    Google Scholar 

  • Grant A, Wartman J, Massey C, Olsen MJ, O’Banion M, Motley M (2018) The impact of rockfalls on dwellings during the 2011 christchurch, new zealand, earthquakes. Landslides 15(1):31–42

    Google Scholar 

  • Guzzetti F, Crosta G, Detti R, Agliardi F (2002) Stone: a computer program for the three-dimensional simulation of rock-falls. Comput Geosci 28(9):1079–1093

    Google Scholar 

  • Jaboyedoff M, Labiouse V (2011) Preliminary estimation of rockfall runout zones. Nat Hazards Earth Syst Sci 11(3):819–828

    Google Scholar 

  • Leine RI, Schweizer A, Christen M, Glover J, Bartelt P, Gerber W (2014) Simulation of rockfall trajectories with consideration of rock shape. Multibody Syst Dyn 32(2):241–271

    Google Scholar 

  • Li Z, Nadim F, Huang H, Uzielli M, Lacasse S (2010) Quantitative vulnerability estimation for scenario-based landslide hazards. Landslides 7(2):125–134

    Google Scholar 

  • Macciotta R, Martin CD, Cruden DM (2015) Probabilistic estimation of rockfall height and kinetic energy based on a three-dimensional trajectory model and Monte Carlo simulation. Landslides 12(4):757–772

    Google Scholar 

  • Marchelli M, De Biagi V (2019a) Optimization methods for the evaluation of the parameters of a rockfall fractal fragmentation model (in press). Landslides 16:1385–1396

    Google Scholar 

  • Marchelli M, De Biagi V (2019b) Dynamic effects induced by the impact of debris flows on protection barriers. Int J Prot Struct 10(1):116–131

    Google Scholar 

  • Massonnet C, Olszak W, Phillips A (2014) Plasticity in structural engineering, fundamentals and applications, vol 241. Springer, Berlin

    Google Scholar 

  • Mavrouli O, Corominas J (2010a) Rockfall vulnerability assessment for reinforced concrete buildings. Nat Hazards Earth Syst Sci 10(10):2055–2066

    Google Scholar 

  • Mavrouli O, Corominas J (2010b) Vulnerability of simple reinforced concrete buildings to damage by rockfalls. Landslides 7(2):169–180

    Google Scholar 

  • Mavrouli O, Fotopoulou S, Pitilakis G, Zuccaro K, Foerster E, Corominas J (2014) Analytical methodologies for the quantification of the vulnerability of buildings to landslides using fragility curves. Bull Eng Geol Environ 73:265–289

    Google Scholar 

  • Mavrouli O, Giannopoulos PG, Carbonell JM, Syrmakezis C (2017) Damage analysis of masonry structures subjected to rockfalls. Landslides 14(3):891–904

    Google Scholar 

  • Ministero delle Infrastrutture e dei Trasporti (2018) Aggiornamento delle Norme Tecniche per le Costruzioni. Supplemento ordinario alla Gazzetta Ufficiale, 42

  • Moos C, Dorren L, Stoffel M (2017) Quantifying the effect of forests on frequency and intensity of rockfalls. Nat Hazards Earth Syst Sci 17(2):291–304

    Google Scholar 

  • Okura Y, Kitahara H, Sammori T, Kawanami A (2000) The effects of rockfall volume on runout distance. Eng Geol 58(2):109–124

    Google Scholar 

  • Ortega J, Vasconcelos G, Rodrigues H, Correia M, Lourenço PB (2017) Traditional earthquake resistant techniques for vernacular architecture and local seismic cultures: a literature review. J Cult Herit 27:181–196

    Google Scholar 

  • Palmstrom A (2005) Measurements of and correlations between block size and rock quality designation (RQD). Tunn Undergr Space Technol 20(4):362–377

    Google Scholar 

  • Papathoma-Köhle M, Zischg A, Fuchs S, Glade T, Keiler M (2015) Loss estimation for landslides in mountain areas—an integrated toolbox for vulnerability assessment and damage documentation. Environ Model Softw 63:156–169

    Google Scholar 

  • Pourfalah S, Cotsovos DM, Suryanto B, Moatamedi M (2018) Out-of-plane behaviour of masonry specimens strengthened with ECC under impact loading. Eng Struct 173:1002–1018

    Google Scholar 

  • Ruiz-Carulla R, Corominas J, Mavrouli O (2015) A methodology to obtain the block size distribution of fragmental rockfall deposits. Landslides 12(4):815–825

    Google Scholar 

  • Santana D, Corominas J, Mavrouli O, Garcia-Sellés D (2012) Magnitude-frequency relation for rockfall scars using a terrestrial laser scanner. Eng Geol 145:50–64

    Google Scholar 

  • Schmidt ME, Cheng L (2009) Impact response of externally strengthened unreinforced masonry walls using CFRP. J Compos Constr 13(4):252–261

    Google Scholar 

  • Sorrentino L, D’Ayala D, de Felice G, Griffith MC, Lagomarsino S, Magenes G (2017) Review of out-of-plane seismic assessment techniques applied to existing masonry buildings. Int J Archit Herit 11(1):2–21

    Google Scholar 

  • Straub D, Schubert M (2008) Modeling and managing uncertainties in rock-fall hazards. Georisk 2(1):1–15

    Google Scholar 

  • Van Mier JGM, Lenos S (1991) Experimental analysis of the load-time histories of concrete to concrete impact. Coast Eng 15(1–2):87–106

    Google Scholar 

  • van Mier JGM, Pruijssers AF, Reinhardt HW, Monnier T (1991) Load-time response of colliding concrete bodies. J Struct Eng 117(2):354–374

    Google Scholar 

  • Ventura A, De Biagi V, Chiaia B (2017) Effects of rockfall on an elastic-plastic member: a novel compliance contact model and dynamic response. Eng Struct 148:126–144

    Google Scholar 

  • Wong HN, Ho KKS, Chan YC (1997) Assessment of consequences of landslides. In Cruden DM, Fell R (eds) Proceedings of the Workshop on Landslide Risk assessment, Honolulu, Hawaii, USA, 19–21 February 1997, pp 111–149

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Acknowledgements

Some of the concepts contained in this work had been firstly put forward in the Master’s thesis in Building Engineering (Politecnico di Torino) of B.A. Castro Yabar, advised by four of the authors (Barbero, Castelli, De Biagi and Napoli), whose early contribution is gratefully acknowledged. A special thanks goes to Eng. S. Campus (Regione Piemonte) and Geol. L. Lanteri (ARPA Piemonte) for the concession of the data relative to the study area. This work has been supported by the Italian Ministry of Education, Universities and Research in the framework of the PRIN 2015 project “Innovative Monitoring and Design Strategies for Sustainable Landslide Risk Mitigation.”

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Vallero, G., De Biagi, V., Barbero, M. et al. A method to quantitatively assess the vulnerability of masonry structures subjected to rockfalls. Nat Hazards 103, 1307–1325 (2020). https://doi.org/10.1007/s11069-020-04036-2

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