Nonlinear Analysis of Masonry Arches Strengthened with Composite Materials
Publication: Journal of Engineering Mechanics
Volume 136, Issue 8
Abstract
The nonlinear behavior of masonry arches strengthened with externally bonded composite materials is investigated. A finite-element (FE) formulation that is specially tailored for the nonlinear analysis of the strengthened arch is developed. The FE formulation takes into account material nonlinearity of the masonry construction and high-order kinematic relations for the layered element. Implementation of the above concept in the FE framework reduces the general problem to a one-dimensional nonlinear formulation in polar coordinates with a closed-form representation of the elemental Jacobian matrix (tangent stiffness). A numerical study that examines the capabilities of the model and highlights various aspects of the nonlinear behavior of the strengthened masonry arch is presented. Emphasis is placed on the unique effects near irregular points and the nonlinear evolution of these effects through the loading process. A comparison with experimental results and a discussion of the correlating aspects and the ones that designate needs of further study are also presented.
Get full access to this article
View all available purchase options and get full access to this article.
Acknowledgments
This research was supported by The Israel Science Foundation (Grant No. UNSPECIFIED772/06).
References
Baratta, A., and Corbi, O. (2007). “Stress analysis of masonry vaults and static efficiency of FRP repairs.” Int. J. Solids Struct., 44(24), 8028–8056.
Bozhevolnaya, E., and Frostig, Y. (1997). “Nonlinear closed-form high-order analysis of curved sandwich panels.” Compos. Struct., 38(1–4), 383–394.
Briccoli Bati, S., and Rovero, L. (2001). “Experimental validation of a proposed numerical model for the FRP consolidation of masonry arches.” Proc., 3rd Int. Seminar, Univ. of Minho, Guimarăes, Portugal.
Briccoli Bati, S., Rovero, L., and Tonietti, U. (2007). “Strengthening of masonry arches with composite materials.” J. Compos. Constr., 11(1), 33–41.
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.
Chen, J. F. (2002). “Load-bearing capacity masonry arch bridges strengthened with fiber-reinforced polymer composites.” Adv. Struct. Eng., 5(1), 37–44.
De Lorenzis, L., Teng, J. G., and Zang, L. (2005). “Theoretical analysis of interfacial stresses in curved members bonded with thin plate.” Proc., Int. Symp. on Bond of FRP in Structures (BBFS 2005), J. G. Teng and J. F. Chen, eds., The Hong Kong Polytechnic Univ., Hong Kong.
De Lorenzis, L., Teng, J. G., and Zang, L. (2006). “Interfacial stresses in curved members bonded with a thin plate.” Int. J. Solids Struct., 43(25–26), 7501–7517.
Drosopoulos, G. A., Stavroulakis, G. E., and Massalas, C. V. (2007). “FRP reinforcement of stone arch bridges: Unilateral contact models and limit analysis.” Composites, Part B, 38(2), 144–151.
Ehsani, M. R., Saadatmanesh, H., and Al-Saidy, A. (1997). “Shear behavior of URM retrofitted with FRP overlays.” J. Compos. Constr., 1(1), 17–25.
Elmalich, D., and Rabinovitch, O. (2009a). “Stress analysis of monolithic circular arches strengthened with composite materials.” J. Compos. Constr., 13(5), 431–441.
Elmalich, D., and Rabinovitch, O. (2009b). “Masonry and monolithic circular arches strengthened with composite materials—A finite-element model.” Comput. Struct., 87(9–10), 521–533.
Foraboschi, P. (2004). “Strengthening of masonry arches with fiber-reinforced polymer strips.” J. Compos. Constr., 8(3), 191–202.
Lourenco, P. B., and Martins, J. P. (2001). “Strengthening of architectural heritage with composite materials.” Proc., 3rd Int. Seminar, Univ. of Minho, Guimarăes, Portugal.
Luciano, R., Marfia, S., and Sacco, E. (2002). “Reinforcement of masonry arches by FRP materials: experimental tests and numerical investigations.” Proc., ICCI02, San Francisco.
Marfia, S., Ricamata, M., and Sacco, E. (2008). “Stress analysis of reinforced masonry arches.” Int. J. Comp. Methods Eng. Sci. Mech., 9(2), 77–90.
Rabinovich, O., and Frostig, Y. (2000). “Closed-form high-order analysis of RC beams strengthened with FRP strips.” J. Compos. Constr., 4(2), 65–74.
Teng, J. G., Zhang, J. W., and Smith, S. T. (2002). “Interfacial stresses in reinforced concrete beams bonded with a soffit plate: A finite element study.” Constr. Build. Mater., 16(1), 1–14.
Valluzzi, M. R., and Modena, C. (2001) “Experimental analysis and modeling of masonry vaults strengthened by FRP.” Proc., 3rd Int. Seminar, Univ. of Minho, Guimarăes, Portugal.
Valluzzi, M. R., Valdemarca, M., and Modena, C. (2001). “Behavior of brick masonry vaults strengthened by FRP laminates.” J. Compos. Constr., 5(3), 163–169.
Yang, Q. S., Peng, X. R., and Kwan, A. K. H. (2004). “Finite element analysis of interfacial stresses in FRP-RC hybrid beams.” Mech. Res. Commun., 31(3), 331–340.
Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 136 • Issue 8 • August 2010
Pages: 996 - 1005
Copyright
© 2010 ASCE.
History
Received: Apr 19, 2009
Accepted: Jan 13, 2010
Published online: Jul 15, 2010
Published in print: Aug 2010
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.