Structural Engineering and Mechanics

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Seismic resistance of dry stone arches under in-plane seismic loading

  • Balic, Ivan (Faculty of Civil Engineering, Architecture and Geodesy, University of Split) ;
  • Zivaljic, Nikolina (Faculty of Civil Engineering, Architecture and Geodesy, University of Split) ;
  • Smoljanovic, Hrvoje (Faculty of Civil Engineering, Architecture and Geodesy, University of Split) ;
  • Trogrlic, Boris (Faculty of Civil Engineering, Architecture and Geodesy, University of Split)
  • Received : 2015.08.26
  • Accepted : 2016.01.11
  • Published : 2016.04.25
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Abstract

The aim of this study is to investigate the seismic resistance of dry stone arches under in-plane seismic loading. For that purpose, several numerical analyses were performed using the combined finite-discrete element method (FDEM). Twelve types of arches with different ratios of a rise at the mid-span to the span, different thicknesses of stone blocks and different numbers of stone blocks in the arch were subjected to an incremental dynamic analysis based on excitation from three real horizontal and vertical ground motions. The minimum value of the failure peak ground acceleration that caused the collapse of the arch was adopted as a measure of the seismic resistance. In this study, the collapse mechanisms of each type of stone arch, as well as the influence of the geometry of stone blocks and stone arches on the seismic resistance of structures were observed. The conclusions obtained on the basis of the performed numerical analyses can be used as guidelines for the design of dry stone arches.

Keywords

References

  1. Barbosa, B.E. (1996), "Discontinuous structural analysis", Proceedings of the 11th World Conference on Earthquake Engineering, Elsevier, Paper No. 830.
  2. Bernat-Maso, E., Gil, L. and Marce-Nogue, J. (2012), "The structural performance of arches made of few vossoirs with dry-joints", Struct. Eng. Mech., 44(6), 775-799. https://doi.org/10.12989/sem.2012.44.6.775
  3. Bicanic, N., Stirling, C. and Pearce, C.J. (2003), "Discontinuous modelling of masonry bridges", Comput. Mech., 31(1-2), 60-68. https://doi.org/10.1007/s00466-002-0393-0
  4. Boyd, T.D. (1978), "The arch and the vault in Greek architecture", Am. J. Archaeol., 82(1), 83-100. https://doi.org/10.2307/503797
  5. Croci, G. (1995), "The Colosseum: safety evaluation and preliminary criteria of intervention", International Seminar on Structural Analysis of Historical Constructions-SAHC, Barcelona, Spain, 154-165.
  6. Cundall, P.A. (1971), "A computer model for simulating progressive large scale movements in blocky rock systems", Proceedings of the Symposium of International Society for Rock Mechanics, International Society for Rock Mechanics (ISRM), Nancy, France, Vol. 1, Paper No. II-8, 132-150.
  7. DeJong, M.J. (2009), "Seismic assessment strategies for masonry structures", Ph.D. Dissertation, Massachusetts Institute of Technology, Massachusetts, USA.
  8. DeJong, M.J., De Lorenzis, L., Adams, S. and Ochsendorf, J.A. (2008), "Rocking stability of masonry arches in seismic regions", Earthq. Spectra, 24(4), 847-865. https://doi.org/10.1193/1.2985763
  9. Drosopoulos, G.A., Stavroulakis, G.E. and Massalas, C.V. (2008), "Influence of the geometry and the abutments movement on the collapse of stone arch bridges", Constr. Build. Mater., 22, 200-210. https://doi.org/10.1016/j.conbuildmat.2006.09.001
  10. Erdolen, A. and Doran, B. (2012), "Interval finite element analysis of masonry-infilled walls", Struct. Eng. Mech., 44(1), 73-84. https://doi.org/10.12989/sem.2012.44.1.073
  11. European Strong-Motion Database (2014), http://www.isesd.hi.is/ESD_Local/frameset.htm.
  12. Lemos, J.V. (1998), "Discrete element modelling of the seismic behaviour of stone masonry arches", Proceedings of the 4th International Symposium on Computer Methods in Structural Masonry, E & FN Spon, London, 220-227.
  13. Lourenco, P.B. and Rots, J.G. (1997), "Multisurface interface model for analysis of masonry structures", J. Eng. Mech., 123(7), 660-668. https://doi.org/10.1061/(ASCE)0733-9399(1997)123:7(660)
  14. Macchi, G. (2001), "Diagnosis of the facade of St. Peter's Basilica in Rome", Historical Constructions, University of Minho, Guimaraes, 309-317.
  15. Mamaghani, I.H.P., Aydan, O. and Kajikawa, Y. (1999), "Analysis of masonry structures under static and dynamic loading by discrete finite element method", Journal of Structural Mechanics and Earthquake Engineering, Japan Society of Civil Engineers (JSCE), No. 626/I-48, 1-12.
  16. Milani, G. and Lourenco, P.B. (2012), "3D non-linear behavior of masonry arch bridges", Comput. Struct., 110-111, 133-150. https://doi.org/10.1016/j.compstruc.2012.07.008
  17. Munjiza, A. (2004), The Combined Finite-Discrete Element Method, John Wiley & Sons, London, UK.
  18. Munjiza, A. and Andrews, K.R.F. (2000), "Penalty function method for combined finite-discrete element system comprising large number of separate bodies", Int. J. Numer. Meth. Eng., 49(11), 1377-1396. https://doi.org/10.1002/1097-0207(20001220)49:11<1377::AID-NME6>3.0.CO;2-B
  19. Munjiza, A., Andrews, K.R.F. and White, J.K. (1998), "NBS contact detection algorithm for bodies of similar size", Int. J. Numer. Meth. Eng., 43(1), 131-149. https://doi.org/10.1002/(SICI)1097-0207(19980915)43:1<131::AID-NME447>3.0.CO;2-S
  20. Munjiza, A., Andrews, K.R.F. and White, J.K. (1999), "Combined single and smeared crack model in combined finite-discrete element method", Int. J. Numer. Meth. Eng., 44(1), 41-57. https://doi.org/10.1002/(SICI)1097-0207(19990110)44:1<41::AID-NME487>3.0.CO;2-A
  21. Munjiza, A., Knight, E.E. and Rouiger, E. (2012), Computational Mechanics of Discontinua, John Wiley & Sons, London, UK.
  22. Munjiza, A., Owen, D.R.J. and Bicanic, N. (1995), "A combined finite-discrete element method in transient dynamics of fracturing solids", Eng. Comput., 12(2), 145-174. https://doi.org/10.1108/02644409510799532
  23. Oliveira, D.V. (2003), "Experimental and numerical analyses of blocky masonry structures under cyclic loading", Ph.D. Dissertation, University of Minho, Guimaraes, Portugal.
  24. Pagnoni, T. (1994), "Seismic analysis of masonry and block structures with the discrete element method", Proceedings of the 10th European Conference on Earthquake Engineering, A.A. Balkema, Rotterdam, Vol. 3, 1669-1674.
  25. Pela, L., Aprile, A. and Benedetti, A. (2009), "Seismic assessment of masonry arch bridges", Eng. Struct., 31(8), 1777-1788. https://doi.org/10.1016/j.engstruct.2009.02.012
  26. Perez-Aparicio, J.L., Bravo, R. and Ortiz, P. (2013), "Refined element discontinuous numerical analysis of dry-contact masonry arches", Eng. Struct., 48, 578-587. https://doi.org/10.1016/j.engstruct.2012.09.027
  27. Petrinic, N. (1996), "Aspects of discrete element modelling involving facet-to-facet contact detection and interaction", Ph.D. Dissertation, University of Wales, UK.
  28. Rafiee, A. and Vinches, M. (2013), "Mechanical behaviour of a stone masonry bridge assessed using an implicit discrete element method", Eng. Struct., 48, 739-749. https://doi.org/10.1016/j.engstruct.2012.11.035
  29. Rafiee, A., Vinches, M. and Bohatier, C. (2008), "Application of the NSCD method to analyse the dynamic behaviour of stone arched structures", Int. J. Solid. Struct., 45(25-26), 6269-6283. https://doi.org/10.1016/j.ijsolstr.2008.07.034
  30. Sincraian, G.E. (2001), "Seismic behaviour of blocky masonry structures. A discrete element method approach", Ph.D. Dissertation, Instituto Superior Tecnico, Lisbon, Portugal.
  31. Smoljanovic, H. (2013), "Seismic analysis of masonry structures with finite-discrete element method", Ph.D. Dissertation, University of Split, Croatia.
  32. Smoljanovic, H., Zivaljic, N. and Nikolic, Z. (2013), "A combined finite-discrete element analysis of dry stone masonry structures", Eng. Struct., 52, 89-100. https://doi.org/10.1016/j.engstruct.2013.02.010
  33. Turker, T. (2014), "Structural evaluation of Aspendos (Belkis) Masonry Bridge", Struct. Eng. Mech., 50(4), 419-439. https://doi.org/10.12989/sem.2014.50.4.419
  34. Xiang, J., Munjiza, A., Latham, J.P. and Guises, R. (2009), "On the validation of DEM and FEM/DEM models in 2D and 3D", Eng. Comput., 26(6), 673-687. https://doi.org/10.1108/02644400910975469

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