A Force-Based Equivalent Frame Element for Push-Over Analysis of Masonry Structures

Article Preview

Abstract:

A new macro-element based on the equivalent frame approach is presented to analyze the nonlinear structural response of masonry panels under monotonic lateral loadings. A nonlinear elastic response is assumed for the masonry material and the sectional response of the beam is derived performing analytical integration. A two-node equilibrated force-based (FB) beam finite element (FE) is formulated. The FE is composed of a central flexible part, characterized by a no-tension constitutive relationship, and a lumped nonlinear shear hinge arranged in series, in order to capture the main flexural and shear nonlinear mechanisms characterizing the masonry panel response. Some applications on experimental prototypes are presented, showing a very satisfactory agreement between the numerical results and the experimental outcomes.

You might also be interested in these eBooks

Info:

Periodical:

Pages:

405-412

Citation:

Online since:

September 2014

Export:

Price:

* - Corresponding Author

[1] P.B. Lourenço, Continuum model for masonry: parameter estimation and validation, J. Sruct. Eng. 124(6) (1998) 642-52.

Google Scholar

[2] L. Pelà, M. Cervera, P. Roca, An orthotropic damage model for the analysis of masonry structures, Constr. Build. Mater. 41 (2013), 957-67.

DOI: 10.1016/j.conbuildmat.2012.07.014

Google Scholar

[3] M.L. De Bellis, D. Addessi, A Cosserat based multi-scale model for masonry structures, Int. J. Multiscale Com. 9(5) (2011) 543-63.

DOI: 10.1615/intjmultcompeng.2011002758

Google Scholar

[4] D. Addessi, E. Sacco, A multi-scale enriched model for the analysis of masonry panels, Int. J. Solids Struct. 49 (6) (2012) 865- 80.

DOI: 10.1016/j.ijsolstr.2011.12.004

Google Scholar

[5] T.J. Massart, R.H.J. Peerlings, M.G.D. Geers, An enhanced multi-scale approach for masonry wall computations with localization of damage, Int. J. Numer. Meth. Eng. 69 (2007) 1022-59.

DOI: 10.1002/nme.1799

Google Scholar

[6] S. -Y. Chen, F.L. Moon, T. Yi, A macroelement for the nonlinear analysis of in-plane unreinforced masonry piers, Eng. Struct. 44 (2008) 3625-41.

DOI: 10.1016/j.engstruct.2007.12.001

Google Scholar

[7] D. Addessi, D. Liberatore, R. Masiani, A force-based beam FE for the pushover analysis of masonry buildings, Int. J. Archit. Herit. 2013 DOI: 10. 1080/15583058. 2013. 768309.

DOI: 10.1080/15583058.2013.768309

Google Scholar

[8] Y. Belmouden, P. Lestuzzi, An equivalent frame model for seismic analysis of masonry, and reinforced concrete buildings. Constr. Build. Mater. 23(1) (2009) 40-53.

DOI: 10.1016/j.conbuildmat.2007.10.023

Google Scholar

[9] E. Grande, M. Imbimbo, E. Sacco, A beam finite element for nonlinear analysis of masonry elements with or without fiber-reinforced plastic (FRP) reinforcements, Int. J. Archit. Herit. 5 (2011) 693-716.

DOI: 10.1080/15583058.2010.490616

Google Scholar

[10] D. Addessi, A. Mastrandrea, E. Sacco, An equilibrated macro-element for nonlinear analysis of masonry structures. Eng. Struct. 70 (2014) 82-93.

DOI: 10.1016/j.engstruct.2014.03.034

Google Scholar

[11] Taylor R. FEAP – a finite element analysis program, Version 8. 3. Department 1233 of Civil and Environmental Engineering, University of California at Berkeley, 1234 California (2011).

Google Scholar

[12] L. Gambarotta, S. Lagomarsino, Damage models for the seismic response of brick masonry shear walls part ii: the continuum model and its application, Earthquake Eng. Struc. D. 26 (1997) 441-462.

DOI: 10.1002/(sici)1096-9845(199704)26:4<441::aid-eqe651>3.0.co;2-0

Google Scholar

[13] C. Calderini, S. Cattari, S. Lagomarsino, In plane seismic response of unreinforced masonry walls: comparison between detailed and equivalent frame models. Proc. of COMPDYN 2009, ECCOMAS Thematic Conference on Computational Methods in Structural Dynamics and Earthquake Engineering, Rhodes, Greece (2009).

DOI: 10.1002/eqe.860

Google Scholar