Abstract
In the current study, the dynamic mechanical behaviour of a masonry cupola composed of non-convex discrete elements is investigated. This cupola is designed in innovative and modern ways and was recently constructed with stone blocks in the south of France. The necessity of applying an accurate numerical modelling method being able to take into account the real geometry of each non-convex block is also presented and discussed. The stability state of this masonry structure, by considering the different levels of seismic loads is studied. In addition, the effects of changes in the contact condition between blocks, or the blocks and the structure foundation, are comprehensively investigated.
Similar content being viewed by others
References
Rafiee A, Vinches M (2013) Mechanical behaviour of a stone masonry bridge assessed using an implicit discrete element method. Eng Struct 48:739–749
Idris J, Verdel T, Al-Heib M (2007) Numerical modelling and mechanical behaviour analysis of ancient tunnel masonry structures. Tunn Undergr Space Technol 23:251–263
Dubois F, Jean M (2003) LMGC90 une plateforme de développement dédiée à la modélisation des problèmes d’interaction. In: Actes du sixième colloque national en calcul des structures. CSMA-AFM-LMS, 111–118
Moreau JJ (1993) New computation methods in granular dynamics. Powders and Grains 93. A.A. Balkema, Rotterdam, pp 227–232
Moreau JJ (1998) Unilateral contact and dry friction in finite freedom dynamics, Volume 302 of International Centre for Mechanical Sciences, Courses and Lectures. Springer, Vienna, 1–82
Moreau JJ (2004) An introduction to unilateral dynamics. In: Frémond M, Maceri F (eds) Novel Approaches in Civil Engineering, Number 14 in Lecture Notes in Applied and Computational Mechanics. Springer-Verlag, New York, 1–46
Jean M (1988). Unilateral contact and dry friction: time and space variables discretization. Arch Mech Warszawa 40(1):677–691
Jean M (1995) Frictional contact in rigid or deformable bodies: numerical simulation of geomaterials. Elsevier Science Publisher, Amsterdam, pp 463–486
Jean M (1999) The non-smooth contact dynamics method. In: Special issue on modelling contact and friction. Comp Methods Appl Mech Eng 177:235–257
Jean M (2001) Micromécanique des matériaux granulaires, chapter Simulation numérique discrète, Editor Hermes, Paris, 199–324
Jean M, Moreau JJ (1992) Unilaterality and dry friction in the dynamics of rigid body collections. Proceedings of contact mechanics international symposium. Presses Polytechniques et Universitaires Romandes, Lausanne, pp 31–48
Radjai F, Richefeu V (2009) Contact dynamics as a nonsmooth discrete element method. Mech Mater 41:715–728
Renouf M, Dubois F, Alart P (2004) A parallel version of the non-smooth contact dynamics algorithm applied to the simulation of granular media. J Comput Appl Math 168(1–2):375–382
Acary V, Blaise JY, Drap P, Florenzano M, Garrec S, Jean M, Merad D (1999) NSCD method applied to mechanical simulation of masonry in historical buildings using MOMA. In: XVII CIPA (International Committee for Architectural Photogrammetry) International Symposium WG3—Simple methods for architectural photogrammetry. Olinda, Brazil
Rafiee A, Vinches M, Bohatier C (2008) Application of the NSCD method to analyse the dynamic behaviour of stone arched structures. Internat J Solids Structures 45:6269–6283
Rafiee A, Vinches M, Bohatier C (2008) Modelling and analysis of the Nîmes arena and the Arles aqueduct subjected to a seismic loading, using the non-smooth contact dynamics method. Eng Struct 30:3457–3467
Cundall P (1971) A computer model for simulating progressive large scale movements of blocky rock systems. Proc Symp Int Soc Rock Mech 1:132–150
Cundall PA, Strack ODL (1979) A discrete numerical model for granular assemblies. Géotechnique 29(1):47–65
Topin V, Dubois F, Monerie Y, Perales F, Wachs A (2011) Micro-rheology of dense particulate flows: application to immersed avalanches. J Non-Newtonian Fluid Mech 166:63–72
Chetouane B (2004) Approche combinée éléments finis/éléments discrets pour la modélisation des structures maçonnées. PhD. thesis, Université Montpellier II, France, p 245
Perales R (2007) Modélisation du comportement mécanique par éléments discrets des ouvrages maçonnés tridimensionnels. Contribution à la définition d’éléments de contacts surfaciques. PhD thesis, University of Montpellier II, France, p 241
Douglas J (2006) Difficulties in predicting earthquake ground motions in metropolitan France and possible ways forward. Géosciences 4:26–31
Bureau Central Sismologique Français (2013) Ecole et Observatoire des Sciences de la Terre. http://www.seisme.prd.fr/. Accessed 25 June 2013
Ghanbari A, Hoomaan E, Mojallal M (2013) An analytical method for calculating the natural frequency of retaining walls. Int J Civil Eng Trans B Geotech Eng 11(1):1–9
Palmisano F, Elia A (2014) Assessment of masonry buildings subjected to landslide by using the load path method. Int J Civil Eng Trans A Civil Eng 12(2):312–330
Tootoonchy F, Asgarian B, Danesh F (2015) Experimental in-plane behavior and retrofitting method of mud-brick walls. Int J Civil Eng Trans A Civil Eng 13(2):191–201
Acknowledgements
The authors are grateful to Frédéric Dubois from the Laboratoire de Mécanique et Génie Civil de Montpellier, France, for his valuable remarks on the NSCD method and especially on the LMGC90 code. The authors would also like to thank Etienne Bertrand from the “Laboratoire Régional des Ponts et Chaussées de Nice” for providing the recorded data of the earthquake.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Rafiee, A., Vinches, M. Implicit Discrete Element Analysis of a Masonry Cupola Under Seismic Loads. Int J Civ Eng 14, 357–367 (2016). https://doi.org/10.1007/s40999-016-0035-0
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s40999-016-0035-0