Nonlinear Dynamic Analysis of Unreinforced Masonry
Publication: Journal of Structural Engineering
Volume 124, Issue 3
Abstract
A comprehensive analytical model has been developed and presented in this paper to study the response of unreinforced masonry to in-plane dynamic loads, including earthquake loads. The analysis has been implemented in a nonlinear finite element program. Masonry is treated as a nonlinear homogeneous orthotropic material. A failure envelope has also been developed that is capable of predicting both joint sliding and the cracking and/or crushing types of failure. The effect of bed joint orientation has been considered; this is achieved through a ubiquitous joint model. The model is capable of performing both static and time history analyses of masonry structures. Nonlinear dynamic analysis is carried out using the Modified Newton-Raphson iteration scheme in conjunction with the Newmark time integration algorithm. To calibrate the model and to demonstrate its applications, several numerical examples have been treated, and the results have been compared with those from full-scale tests on masonry shear walls under both cyclic and dynamic loads. Reasonably good agreement has been found between the analytical and experimental results.
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References
1.
Calvi, G. M., and Magenes, G. (1991). “Experimental evaluation of seismic strength of old masonry structures.”Proc., 9th Int. Brick/Block Masonry Conf., Deutsche Gesellschaft für Mauerwerksbau e.V., Bonn, Germany, 490–497.
2.
Darwin, D., and Pecknold, D. A.(1977). “Nonlinear biaxial stress-strain law for concrete.”J. Engrg. Mech. Div., ASCE, 103(2), 229–241.
3.
Dhanasekar, M., Page, A., and Kleeman, P. A. (1984). “Finite element model for the in-plane behaviour of brick masonry.”Proc., 9th Australasian Conf. on the Mech. of Struct. and Materials, University of Sydney, Sydney, Australia, 262–267.
4.
Hamid, A., and Drysdale, R. G.(1981). “Proposed failure criteria for concrete block masonry under biaxial stresses.”J. Struct. Div., ASCE, 107(8), 1675–1687.
5.
Jankulovski, E., and Parsanejad, S. (1994). “Earthquake resistance assessment of masonry buildings.”Proc., 3rd National Masonry Seminar, Queensland University of Technology, Brisbane, Australia, 16.1–16.12.
6.
Klopp, G. M., and Griffith, M. C. (1994). “The earthquake design of unreinforced masonry structures in areas of low seismic risk.”Proc., 3rd National Masonry Seminar, Queensland University of Technology, Brisbane, Australia, 19.1–19.9.
7.
LaRovere, H. (1990). “Nonlinear analysis of reinforced concrete masonry walls under simulated seismic loadings,” PhD thesis, University of California, San Diego, Calif.
8.
Lotfi, H., and Shing, P.(1994). “Interface model applied to fracture of masonry structures.”J. Struct. Engrg., ASCE, 120(1), 63–80.
9.
Lourenco, P. B., and Rots, J. G.(1994). “Understanding the behaviour of shear walls: a numerical review.”Proc., 10th Int. Brick and Block Masonry Conf., University of Calgary, Calgary, Canada, 1, 11–20.
10.
Naraine, K., and Sinha, S.(1991). “Cyclic behavior of brick masonry under biaxial compression.”J. Struct. Engrg., ASCE, 117(5), 1336–1355.
11.
Page, A.(1978). “Finite element model for masonry.”J. Struct. Div., ASCE, 104(8), 1367–1285.
12.
Page, A. (1982). “An experimental investigation of the biaxial strength of brick masonry.”Proc., 6th Int. Brick/Block Masonry Conf., Associazionne Nazionale Degli Industriale dei Laterizi, Rome, Italy, 3–15.
13.
Pomonis, A., Spence, R. J., Coburn, A. W., and Taylor, C. (1992). “Shaking table test on various types of unreinforced masonry.”Proc., 10th World Conf. on Earthquake Engrg., A. A. Balkema, Rotterdam, The Netherlands, 3533–3538.
14.
Riddington, J., and Ghazali, M.(1990). “Hypothesis for shear failure in masonry joints.”Proc., Inst. of Civ. Engrs., Part 2, Institute of Civil Engineers, London, England, 84, 89–102.
15.
Rots, J. G. (1988). “Computational modelling of concrete fracture,” PhD thesis, Delft Univ. of Technol., Delft, The Netherlands.
16.
Samarasinghe, W., Page, A. W., and Hendry, A. W. (1981). “Behaviour of brick masonry shear walls.”The Struct. Engr., London, England, 59B(3), 42–48.
17.
Tomazevic, M., Lutman, M., and Petkovic, L.(1996). “Seismic behavior of masonry walls: experimental simulation.”J. Struct. Enrg., ASCE, 122(9), 1040–1047.
18.
Tomazevic, M., and Lutman, M.(1996). “Seismic behavior of masonry walls: modeling of hysteretic rules.”J. Struct. Engrg., ASCE, 122(9), 1048–1054.
19.
Vratsanou, V. (1991). “Determination of the behaviour factors for brick masonry panels subjected to earthquake actions.”Proc., Int. Conf. on Soil Dyn. and Earthquake Engrg., Computational Mechanics Publ., Southampton, England, 565–575.
20.
Zhuge, Y. (1995). “Nonlinear dynamic response of unreinforced masonry under in-plane lateral loads,” PhD thesis, Queensland Univ. of Technol., Brisbane, Australia.
21.
Zhuge, Y., Thambiratnam, D., and Corderoy, J. (1994). “Experimental testing of masonry walls under in-plane cyclic loads.”Proc., 10th Int. Brick/Block Masonry Conf., University of Calgary, Calgary, Canada, 313–322.
22.
Zienkiewic, O. C., and Pande, G. N.(1977). “Time-dependent multilaminate model of rocks—a numerical study of deformation and failure of rock masses.”Int. J. Numer. and Analytical Methods in Geomech., 1, 219–247.
Information & Authors
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Published In
Journal of Structural Engineering
Volume 124 • Issue 3 • March 1998
Pages: 270 - 277
Copyright
Copyright © 1998 American Society of Civil Engineers.
History
Published online: Mar 1, 1998
Published in print: Mar 1998
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