Lower Bound Limit Analysis of Masonry Arches with CFRP Reinforcements: A Numerical Method
Publication: Journal of Composites for Construction
Volume 17, Issue 4
Abstract
This paper presents a numerical method to predict the ultimate load of masonry arches strengthened with carbon-fiber-reinforced polymer (CFRP) strips bonded to the intrados. The voussoirs of the arch and the CFRP strip, ideally divided into the same number of parts as the voussoirs, are modeled as rigid blocks. A finite set of stress resultants represents the stress state acting on interfaces of the rigid blocks. The local failure modes at the block interfaces are defined according to experimental evidence. The model is developed within an associated framework in such a way that the normality rule is satisfied: the upper- and lower-bound theorems of classical limit analysis apply. The ultimate load is predicted by a lower bound approach. The feasible domain is defined by the equilibrium equations and by the linear constraints imposed on the stress resultants. All the relations defining the model are linear, so that a linear programming problem is imposed. The predictions of the numerical model compare well with experimental results.
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References
Briccoli Bati, S., Rotunno, T., and Soraci, A. (2007). “Indagine sperimentale sul comportamento strutturale di archi in muratura rinforzati con SRP e SRG.” Proc., Workshop on Design for Rehabilitation of Masonry Structures, Edizioni Polistampa, Ischia, Italy, 441–451 (in Italian).
Cancelliere, I., Imbimbo, M., and Sacco, E. (2010). “Experimental tests and numerical modeling of reinforced masonry arches.” Eng. Struct., 32(3), 776–792.
Caporale, A., Luciano, R., and Rosati, L. (2006). “Limit analysis of masonry arches with externally bonded FRP reinforcements.” Comput. Methods Appl. Mech. Eng., 196(1–3), 247–260.
Charnes, A., and Greenberg, H. J. (1951). “Plastic collapse and linear programming.” Bull. Amer. Math. Soc., 57(6), 480.
Drosopoulos, G. A., Stavroulakis, G. E., and Massalas, C. V. (2007). “FRP reinforcement of stone arch bridges: Unilateral contact models and limit analysis.” Compos. B Eng., 38(2), 144–151.
Elmalich, D., and Rabinovitch, O. (2010). “Nonlinear analysis of masonry arches strengthened with composite materials.” J. Eng. Mech., 136(8), 996–1005.
European Committee for Standardization (CEN). (2007). “Methods of test for mortar for masonry. Determination of flexural and compressive strength of hardened mortar.” (European Standard), Brussels, Belgium.
Foraboschi, P. (2004). “Strengthening of masonry arches with fiber-reinforced polymer strips.” J. Compos. Constr., 8(3), 191–202.
Gilbert, M., and Melbourne, C. (1994). “Rigid-block analysis of masonry structures.” Struct. Eng., 72(21), 356–361.
Heyman, J. (1966). “The stone skeleton.” Int. J. Solid Struct., 2(2), 227–241.
Heyman, J. (1982). The masonry arch, Ellis Horwood-Wiley, West Sussex, UK.
Il Ministro delle Infrastrutture. (2008). “Norme tecniche per le costruzioni.” Decreto Ministeriale (D. M.) 14 Gennaio 2008 (Italian Standard), Rome.
Kirsch, U. (1993). Structural optimization, Springer-Verlag, Berlin, Germany.
Kooharian, A. (1952). “Limit analysis of voussoir (segmental) and concrete arches.” J. Amer. Conc. Inst., 24(4), 317–328.
Livesley, R. K. (1978). “Limit analysis of structures formed from rigid blocks.” Int. J. Numer. Methods Eng., 12(12), 1853–1871.
Lucchesi, M., Padovani, C., Pasquinelli, C., and Zani, N. (1997). “On the collapse of the masonry arches.” Meccanica, 32(4), 327–346.
Luciano, R., Marfia, S., Rinaldi, Z., and Sacco, E. (2001). “Application of advanced composites for the reinforcement of masonry arches.” Proc., Int. Conf. on FRP Composites in Civil Eng., Elsevier, Hong Kong, 993–1000.
Milani, G., Milani, E., and Tralli, A. (2009). “Upper bound limit analysis model for FRP-reinforced masonry curved structures. Part II: Structural analyses.” Comput. Struct., 87(23–24), 1534–1558.
Milani, G., Rotunno, T., Sacco, E., and Tralli, A. (2006). “Failure load of FRP strengthened masonry walls: Experimental results and numerical models.” Struct. Durability Health Monit., 2(1), 29–50.
Orduna, A., and Lourenco, P. B. (2003). “Cap model for limit analysis and strengthening of masonry structures.” J. Struct. Eng., 129(10), 1367–1375.
Information & Authors
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Published In
Journal of Composites for Construction
Volume 17 • Issue 4 • August 2013
Pages: 543 - 553
Copyright
© 2013 American Society of Civil Engineers.
History
Received: May 3, 2012
Accepted: Dec 7, 2012
Published online: Dec 10, 2012
Discussion open until: May 10, 2013
Published in print: Aug 1, 2013
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