Multilaminate Macromodel for Concrete Masonry: Formulation and Verification
Publication: Journal of Structural Engineering
Volume 132, Issue 12
Abstract
A macromodel was developed to predict the in-plane behavior of concrete masonry. In this multilaminate model, the masonry assemblage is replaced by an equivalent material which consists of a homogenous medium intersected by two sets of planes of weakness along the head and bed joints. Additionally, two sets of reinforcement, normal and parallel to bed joints are used when modeling reinforced masonry. The macrobehavior of the equivalent material is determined by smearing the influence of these planes of weakness and reinforcement sets (when present) to determine the global behavior of the model. Different failure surfaces are defined for each masonry component. Based on the order in which different components reach their failure surface, redistribution of stresses occurs and different possible modes of failure are predicted. The proposed model’s prediction of the response of unreinforced and reinforced masonry is verified by comparison with the experimental results of masonry panels subjected to different biaxial stress conditions with different reinforcement ratios and loading angles.
Get full access to this article
View all available purchase options and get full access to this article.
Acknowledgments
This study forms a part of ongoing research in The McMaster Centre for Effective Design of Structures funded through the Ontario Research and Development Challenge Fund. This research was funded through grants from the Natural Science and Engineering Research Council of Canada (NSERC). Parts of this paper form a part of the doctoral dissertation of Magdy Khattab (McMaster Univ., Hamilton Ont., Canada, 1993).
References
Berto, L., Saetta, A., Scotta, R., and Vitaliani, R. (2002). “Orthotropic damage model for masonry structures.” Int. J. Numer. Methods Eng., 55(2), 127–157.
Drysdale, R. G., Hamid, A., and Baker, L. R. (1999). Masonry structures: Behavior and design, 2nd Ed., The Masonry Society, Boulder, Colo.
Drysdale, R. G., and Khattab, M. M. (1995). “In-plane behavior of grouted concrete masonry under biaxial tension-compression.” American Concrete Institute Structural Journal, 92(6) 653–664.
El-Dakhakhni, W. W., Elgaaly, M., and Hamid, A. A. (2003). “Three-strut model for concrete masonry-infilled steel frames.” J. Struct. Eng., 129(2), 177–185.
Ewing, R. D., El-Mustapha, A. M., and Kariotis, J. C. (1988). “A finite element computer program for the nonlinear analysis of reinforced masonry walls.” Proc., 8th Int. Brick/Block Masonry Conf., Dublin, Ireland, 1119–1129.
Ferris, M. C., and Tin-Loi, F. (2001). “Limit analysis of frictional block assemblies as a mathematical program with complementary constraints.” Int. J. Mech. Sci., 43(1), 209–224.
Ganz, H. R. (1989). “Failure criteria for masonry.” Proc., 5th. Canadian Masonry Symp., Canada, 65–77.
Guo, P. (1991). “Investigation and modelling of the mechanical properties of masonry.” Ph.D. Thesis, McMaster Univ., Hamilton, Ont., Canada.
Hamid, A. A., and Drysdale, R. G. (1981). “Proposed failure criteria for concrete block masonry under biaxial stress.” J. Struct. Div., 107(8), 1675–1687.
Kupfer, H., and Grestel, K. H. (1973). “Behavior of concrete under biaxial stresses.” J. Engrg. Mech. Div., 99(4), 853–866.
Lourenço, P. B. (2000). “Anisotropic softening model for masonry plates and shells.” J. Struct. Eng., 126(9), 1008–1016.
Lourenço, P. B., and Rots, J. G. (1997). “A multisurface interface model for analysis of masonry structures.” J. Eng. Mech., 123(7), 660–668.
Lourenço, P. B., Rots, J. G., and Blaauwendraad, J. (1998). “Continuum model for masonry: Parameter estimation and validation.” J. Struct. Eng., 124(6), 642–652.
Maksoud, A. A., and Drysdale, R. G. (1992). “Numerical modelling of masonry walls.” Proc., 6th. Canadian Masonry Symp., Saskatoon, Sask., Canada, 801–811.
Mann, W., and Müller, H. (1982). “Failure of shear-stressed masonry—An enlarged theory, tests and application to shear walls.” Proc., British Ceramic Society, No. 30, Load-Bearing Brickwork (7), Stroke-on-Trent, Great Britain, 223–235.
Massicotte, B., Elwi, A. E., and MacGregor, J. G. (1990). “Tension-stiffening model for planer reinforced concrete members.” J. Struct. Div., 116(11), 3039–3058.
Mosalam, K., White, R. N., and Gergely, P. (1997). “Computational strategies for frames with infill walls: Discrete and smeared crack analyses and seismic fragility.” Rep. No. NCEER-97-0021, State Univ. of New York, Univ. at Buffalo, Buffalo, N.Y.
Pietruszczak, S., and Niu, X. (1992). “A mathematical description of macroscopic behaviour of brick masonry.” Int. J. Solids Struct., 29(5), 531–546.
Seah, C. K. (1998). “A universal approach for the analysis and design of masonry infilled frame structures.” Ph.D. thesis, Dept. of Civil Engineering, Univ. of New Brunswick, Fredericton, N.B., Canada.
Seible, F., LaRovere, H. L., and Klingsley, G. R. (1990). “Nonlinear analysis of reinforced concrete masonry subassemblages.” Proc., 5th North American Masonry Conf., 261–274.
Somayaji, S., and Shah, S. P. (1981). “Bond stress versus slip relationship and cracking response of tension member.” ACI J., 78(20), 217–225.
Vecchio, F. J., and Collins, M. P. (1982). “The response of reinforced concrete to in-plane shear and normal stresses.” Publication No. 82-03, Dept. of Civil Engineering, Univ. of Toronto, Toronto.
Zienkiewicz, O. C., and Taylor, R. L. (2000). The finite element method, 5th Ed., Butterworth-Heinemann, Burlington, Mass.
Zucchini, A., and Lourenço, P. B. (2002). “A micromechanical model for the homogenisation of masonry.” Int. J. Solids Struct., 39(12), 3233–3255.
Information & Authors
Information
Published In
Journal of Structural Engineering
Volume 132 • Issue 12 • December 2006
Pages: 1984 - 1996
Copyright
© 2006 ASCE.
History
Received: Jul 9, 2003
Accepted: Jun 29, 2006
Published online: Dec 1, 2006
Published in print: Dec 2006
Notes
Note. Associate Editor: Khalid M. Mosalam
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.