On the statics of No-Tension masonry-like vaults and shells: solution domains, operative treatment and numerical validation
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Andrei N (2007) Convex functions. Adv Model Optim 9(2):257–267
Baratta A, Corbi I (2004) Iterative procedure in no-tension 2D problems: theoretical solution and experimental applications. In: Sih GC, Nobile L (eds) Restoration, recycling and rejuvenation technology for engineering and architecture application. Aracne Ed, Bologna, pp 67–75 [ISBN 88-7999-765-3]
Baratta A, Corbi I (2006) A theoretical and experimental stress distribution in reinforced no-tension walls. In: Lourenço PB, Roca P, Modena C, Agrawal S (eds) Structural analysis of historical constructions, vol 2. New Delhi, India, pp 1289–1296
Baratta A, Corbi I (2006) On the reinforcement of masonry walls by means of FRP provisions. In: Mirmiran A, Nanni A (eds) “Composites in civil engineering” CICE 2006, International Institute for FRP in Construction, Miami, USA, pp 371–374
Baratta A, Corbi O (2005) On variational approaches in NRT continua. Int J Solids Struct 42:5307–5321
Baratta A, Corbi O (2005) Relationships of L.A. theorems for NRT structures by means of duality. Theor Appl Fract Mech 44:261–274
Baratta A, Corbi O (2007) Stress analysis of masonry vaults and static efficacy of FRP repairs. Int J Solids Struct 44(24):8028–8056
Baratta A, Corbi O (2007) Duality in non-linear programming for limit analysis of NRT bodies. Struct Eng Mech 26(1):15–30
Baratta A, Corbi O (2009) Notes on statics of masonry vaults. In: Pirrotta A, Navarra G (eds) MDP07, International symposium on recent advances in mechanics, dynamical systems and probability theory, Patròn Editore. 3–6 June, Mondello, Palermo, pp 25–36
Baratta A, Corbi O (2010) On the equilibrium and admissibility coupling in NT vaults of general shape. Int J Solids Struct 47(17):2276–2284
Baratta A, Corbi O (2010) An approach to masonry structural analysis by the no-tension assumption—part I: material modeling, theoretical setup, and closed form solutions. Appl Mech Rev ASME Int 63(4):040802-1/17
Baratta A, Corbi O (2010) An approach to masonry structural analysis by the no-tension assumption—part II: load singularities, numerical implementation and applications. Appl Mech Rev ASME Int 63(4):040803-1/21
Block P, Ciblac T, Ochsendorf JA (2006) Real-time limit analysis of vaulted masonry buildings. Comput Struct 84:1841–1852
Corbi O (2005) Il portale ad Arco Murario: Verifica della Analisi Numerica su Base Sperimentale. Ingegneria Sismica, Patròn Editore XXII (2):14–18
Corbi O (2007) Consolidamento di un Arco Murario Rinforzato con Tirante Metallico: Indagine Sperimentale. Ingegneria Sismica, Patròn Editore XXIV(1):57–62
Cundall PA (1988) Formulation of a three-dimensional distinct element model—part I. A scheme to detect and represent contacts in a system composed of many polyhedral blocks. Int J Rock Mech Min Sci Geomech Abstr 25(3):107–116
Fairlie DB, Leznov AN (1995) General solutions of the Monge-Ampère equation in n-dimensional space. J Geom Phys 16(4):385–390
Gilbarg D, Trudinger NS (2001) Elliptic partial differential equations of second order, 2nd edn. Springer, Berlin, p 544
Gilbert M, Melbourne C (1994) Rigid-block analysis of masonry structures. Struct Eng 72(21):356–361
Heyman J (1977) Equilibrium of shell structures. Oxford University Press, Oxford, p 134
Huerta S (2001) Mechanics of masonry vaults: the equilibrium approach. In: Lourenco PB, Roca P (eds) Proceedings of historical constructions. Guimaraes, Portugal, pp 47–69
Huerta S (2008) The analysis of masonry architecture: a historical approach. Archit Sci Rev 51(4):297–328
Lemos JV (1997) Discrete element modeling of the seismic behaviour of stone masonry arches. In: Pande GN, Middleton J, Kralj B (eds) Computer methods in structural masonry, vol 4. E & FN Spon, London, pp 220–227
Livesley RK (1978) Limit analysis of structures formed from rigid blocks. Int J Numer Methods Eng 12(12):1853–1871
Livesley RK (1992) A computational model for the limit analysis of three-dimensional masonry structures. Meccanica 27(3):161–172
Lucchesi M, Padovani C, Pasquinelli G, Zani N (1989) The maximum modulus eccentricities surface for masonry vaults and limit analysis. Math Mech Solids 4:71–87
Maunder EAW (1993) Limit analysis of masonry structures based on discrete elements. In: Brebbia CA, Frewer RJB (eds) Structural repair and maintenance of historical buildings III. Computational Mechanics Publications, Southampton, pp 367–374
Molins C, Roca P (1998) Capacity of masonry arches and spatial frames. J Struct Eng (ASCE) 124(6):653–663
Nash SG (2011) Penalty and barrier methods. Wiley Encyclopedia of Operations Research and Management Science, Chicester
Polyanin AD, Manzhirov AV (2007) Handbook of mathematics for engineers and scientists. Chapman & Hall/CRC, Boca Raton, p 1509
Roberts AW, Varberg DE (1973) Convex functions. Academic Press, New York, p 300
Sacco E (2009) A nonlinear homogenization procedure for periodic masonry. Eur J Mech A/Solids 28:209–222
Ugural AC (1999) Stresses in plates and shells. McGraw-Hill WCB, USA, p 502
Ungewitter G (1890) Lehrbuch der gotischen Konstruktionen (III. Auage neu bearbaitet von K.Mohrmann ed.). T.O. Weigel Nachfolger, Leipzig
Wittmann W (1879) Zur Theorie der Gewolbe. Zeitschrift fur Bauwesen 26:61–74