Structural Engineering and Mechanics

Techno-Press (테크노프레스)
권호 표지
DOI QR코드

DOI QR Code

Micro modelling of masonry walls by plane bar elements for detecting elastic behavior

  • Received : 2016.09.03
  • Accepted : 2017.03.09
  • Published : 2017.06.10
⟨ Previous Next ⟩

Abstract

Masonry walls are amongst the oldest building systems. A large portion of the research on these structures focuses on the load-bearing walls. Numerical methods have been generally used in modelling load-bearing walls during recent years. In this context, macro and micro modelling techniques emerge as widely accepted techniques. Micro modelling is used to investigate the local behaviour of load-bearing walls in detail whereas macro modelling is used to investigate the general behaviour of masonry buildings. The main objective of this study is to investigate the elastic behaviour of the load- bearing walls in masonry buildings by using micro modelling technique. In order to do this the brick and mortar units of the masonry walls are modelled by the combination of plane truss elements and plane frame elements with no shear deformations. The model used in this study has fewer unknowns then the models encountered in the references. In this study the vertical frame elements have equivalent elasticity modulus and moment of inertia which are calculated by the developed software. Under in-plane static loads the elastic displacements of the masonry walls, which are encountered in literature, are calculated by the developed software, where brick units are modelled by plane frame elements, horizontal joints are modelled by vertical frame elements and vertical joints are modelled by horizontal plane truss elements. The calculated results are compatible with those given in the references.

Keywords

References

  1. Belmouden, Y. and Lestuzzi, P. (2009), "An equivalent frame model for seismic analysis of masonry and reinforced concrete buildings", Constr. Build. Mater., 23(1), 40-53. https://doi.org/10.1016/j.conbuildmat.2007.10.023
  2. Berto, L., Saetta, A., Scotta, R. and Vitaliani, R. (2005), "Failure mechanism of masonry prism loaded in axial compression", Comput. Aspects, Mater. Struct., 38(2), 249-256.
  3. Brencich, A. and Lagomarsino, S. (1998), "A macro-element dynamic model for masonry shear walls", (Eds., Pande G et al.) Comp. meth. instruct. masonry, 4, E&FNSpon, 67-75.
  4. Calio, I., Marletta, M. and Panto, B. (2012), "A new discrete element model for the evaluation of the seismic behaviour of unreinforced masonry buildings", Eng. Struct., 40, 327-338 https://doi.org/10.1016/j.engstruct.2012.02.039
  5. Casolo, S. (2004), "Modelling in-plane micro-structure of masonry walls by rigid", Int. J. Solids Struct., 41(13), 3625-3641. https://doi.org/10.1016/j.ijsolstr.2004.02.002
  6. Casolo, S. (2009), "Macroscale modelling of micro-structure evolution damage by a rigid body and spring model", J. Mech. Mater. Struct., 4(3), 551-570. https://doi.org/10.2140/jomms.2009.4.551
  7. Casolo, S. and Pena, F. (2007), "Rigid element model for in-plane dynamics of masonry walls considering hysteretic behaviour and damage", Earthq. Eng. Struct. D., 36(8), 1029-1048. https://doi.org/10.1002/eqe.670
  8. Chaimoon, K. and Attard, M.M. (2006), "Modeling of unreinforced masonry walls under shear and compression", Eng. Struct., 29(9), 2056-2068. https://doi.org/10.1016/j.engstruct.2006.10.019
  9. Chen, S.Y., Moon, F.L. and Yi, T. (2008), "A macro-element for the nonlinear analysis of in-plane unreinforced masonry piers", Eng. Struct., 20(8), 2242-2252.
  10. Demirel, I.O. (2010), "A nonlinear equivalent frame model for displacement based analysis of unreinforced brick masonry buildings", MSc. Thesis, METU, Ankara, Turkey.
  11. Galasco, A., Lagomarsino, S., Penna, A. and Resemini, S. (2004), "Non-linear seismic analysis of masonry structures", Proceedings of the 13th World Conference on Earthquake Engineering, Paper No. 843, Vancouver, Canada.
  12. Kafkas, U. (2015), "Micro modeling of masonry wall elastic behavior by plane bar members", MSc. Thesis, Dumlupinar University, Kutahya, Turkey. (in Turkish)
  13. Kheirollahi, M. (2013), "Equivalent frame model and shell element for modeling of inplane behavior of Unreinforced Brick Masonry buildings", Struct. Eng. Mech., 46(2), 213-229. https://doi.org/10.12989/sem.2013.46.2.213
  14. Lourenco, P.B. (1996), "Computational strategies for masonry structures", PhD Thesis, Delft University of Technology, Delft, Netherlands.
  15. Mandirola, M., Penna, A., Rota, M. and Magenes, G. (2012), "Experimental assessment of the shear response of autoclaved aerated concrete (AAC) masonry with flat truss bed-joint reinforcement", Proceedings of the 15th International Brick and Block Masonry Conference, Florianopolis, Brazil.
  16. Milani, G., Lourenco, P.B. and Tralli, A. (2005a), "A micro mechanical model for the homogenized limit analysis of out-ofplane loaded masonry walls", Proceedings of the 10th International Conference on Civil, Structural Environmental Engineering Computing, Rome, Italy.
  17. Milani, G., Lourenco, P.B. and Tralli, A. (2005b), "A simple homogenized micro mechanical model for the analysis at the collapse of out-of-plane loaded masonry walls", Proceedings of the 17th Congresso AIMETA di Meccacica Teorica e Applicata, 1-12, Frenze, Italy.
  18. Pina-Henriques, J. and Lourenco, P.B. (2004), "Masonry micro modeling adopted a discontinuous framework", Proceedings of the 7th International Conference on Computational Structures Technology, Lisbon, Portugal.
  19. Roca, P., Molins, C. and Mari, A.R. (2005), "Strength capacity of masonry Wall structures by the equivalent frame method", J. Struct. Eng., ASCE, 131(10), 1601-1610. https://doi.org/10.1061/(ASCE)0733-9445(2005)131:10(1601)
  20. Sabatino, R. and Rizzano G. (2010), "Nonlinear static analysis of masonry structures simplified equivalent frames and accurate models", Proceedings of the 14th European Conference on Earthquake Engineering (ECEE), Macedonia.
  21. Sattar, S. (2013), "Influence of masonry infill walls and other building characteristics on seismic collapse of concrete frame buildings", PhD Thesis, University of Colorado, Colorado, USA.
  22. Sima, J.F., Roca, P. and Molins, C. (2011), "Nonlinear response of masonry wall structure subjected to cyclic and dynamic loading", Eng. Struct., 33(6), 1955-1965. https://doi.org/10.1016/j.engstruct.2011.02.033
  23. Ural, A. (2009), "Investigating linear and nonlinear behaviors of masonry structures", PhD Thesis, Karadeniz Technical University, Trabzon, Turkey. (in Turkish)
  24. Ural, A. and Dogangun, A. (2007), "Evaluating the seismic performance of masonry structures using with micro modeling strategy", Proceedings of the International Earthquake Symposium 2007, Kocaeli, Turkey. (in Turkish)
  25. Ural, A. and Dogangun, A. (2009), "Parameter effects on shear capacity of masonry walls; Unsupported length aspect", e - J. New World Sciences Academy 2009, 4(3), 340-350. (in Turkish)
  26. Ural, A. and Dogangun, A. (2012), "Crack development depending on bond design for masonry walls under shear", Struct. Eng. Mech., 44(2), 257-266. https://doi.org/10.12989/sem.2012.44.2.257
  27. Zucchini, A. and Lourenco, P.B. (2002), "A micro mechanical model for the homogenization of masonry", Int. J. Solids Struct., 39(12), 3233-3255. https://doi.org/10.1016/S0020-7683(02)00230-5

Cited by

  1. Observation of behavior of the Ahlat Gravestones (TURKEY) at seismic risk and their recognition by QR code vol.72, pp.5, 2017, https://doi.org/10.12989/sem.2019.72.5.643