Multisurface Interface Model for Analysis of Masonry Structures
Publication: Journal of Engineering Mechanics
Volume 123, Issue 7
Abstract
The performance of an interface elastoplastic constitutive model for the analysis of unreinforced masonry structures is evaluated. Both masonry components are discretized aiming at a rational unit-joint model able to describe cracking, slip, and crushing of the material. The model is formulated in the spirit of softening plasticity for tension, shear and compression, with consistent treatment of the intersections defined by these modes. The numerical implementation is based on modern algorithmic concepts such as local and global Newton-Raphson methods, implicit integration of the rate equations and consistent tangent stiffness matrices. The parameters necessary to define the model are derived from microexperiments in units, joints, and small masonry samples. The model is used to analyze masonry shear-walls and is capable of predicting the experimental collapse load and behaviour accurately. Detailed comparisons between experimental and numerical results permit a clear understanding of the walls structural behavior, flow of internal forces and redistribution of stresses both in the preand post-peak regime.
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References
1.
Atkinson, R. H., and Yan, G. G.(1990). “Results of a statistical study of masonry deformability.”Masonry Soc. J., 9(1), 81–90.
2.
de Borst, R., and Feenstra, P. H.(1990). “Studies in anisotropic plasticity with reference to the Hill criterion.”Int. J. Numer. Methods Engrg., 29, 315–336.
3.
Drucker, D. C., Gibson, R. E., and Henkel, D. J.(1957). “Soil mechanics and work hardening theories of plasticity.”Trans., ASCE, 122, 338–346.
4.
Hofstetter, G., Simo, J. C., and Taylor, R. L.(1993). “A modified cap model; closest point solution algorithms.”Comp. & Struct., 46(2), 203–214.
5.
Hohberg, J.-M. (1992). “A joint element for the nonlinear dynamic analysis of arch dams.”Rep. No. 186, Inst. of Struct. Engrg., ETH Zurich, Switzerland.
6.
Koiter, W. T.(1953). “Stress-strain relations, uniqueness and variational problems for elastic-plastic materials with a singular yield surface.”Quarterly Appl. Math., 11, 350–354.
7.
Lofti, H. R., and Shing, P. B.(1994). “Interface model applied to fracture of masonry structures.”J. Struct. Engrg., ASCE, 120(1), 63–80.
8.
Lourenço, P. B., and Rots, J. G. (1993). “On the use of micro-modelling for the analysis of masonry shear-walls.”Computer methods in structural masonry—2, G. N. Pande and J. Middleton, eds., Book & Journals Int. Swansea, United Kingdom, 14–26.
9.
Lourenço, P. B., and Rots, J. G. (1994). “Understanding the behaviour of shear walls: a numerical review.”Proc., 10th Int. Brick/block Masonry Conf., N. G. Shrive and A. Huizer, eds., Calgary, Canada, 11–20.
10.
Lourenço, P. B., Rots, J. G., and Blaauwendraad, J. (1994). “Implementation of an interface cap model for the analysis of masonry structures.”Computational modelling of Concrete structures, H. Mang, N. Bicanic, and R. de Borst, eds., Pineridge Press, Swansea, United Kingdom, 123–134.
11.
Mann, W., and Müller, H.(1982). “Failure of shear-stressed masonry—an enlarged theory, tests and application to shear walls.”Proc., British Ceramic Soc., 30, 223–235.
12.
Ortiz, M., and Popov, E. P.(1985). “Accuracy and stability of integration algorithms for elasto-plastic constitutive relations.”Int. J. Numer. Methods Engrg., 21, 1561–1576.
13.
Raijmakers, T. M. J., and Vermeltfoort, A. T. (1992). “Deformation controlled meso shear tests on masonry piers.”Rep. B-92-1156, TNO-BOUW/TU Eindhoven, Build. and Constr. Res., Eindhoven, The Netherlands (in Dutch).
14.
Roscoe, K. H., and Burland, J. B. (1968). “On the generalized stress-strain behaviour of `wet' clay.”Engineering plasticity, J. Heyman and F. A. Lekie, eds., Cambridge University Press, London, England, 535–609.
15.
Rots, J. G. (1988). “Computational modelling of concrete fracture.” Dissertation, Delft Univ. of Technology, Delft, The Netherlands.
16.
Simo, J. C., Kennedy, J. G., and Govindjee, S.(1988). “Non-smooth multisurface plasticity and viscoplasticity. Loading/unloading conditions and numerical algorithms.”Int. J. Numer. Methods Engrg., 26, 2161–2185.
17.
van der Pluijm, R. (1992). “Material properties and its components under tension and shear.”Proc., 6th Can. Masonry Symp., Saskatoon, Canada.
18.
van der Pluijm, R. (1993). “Shear behaviour of bed joints.”Proc., 6th North Am. Masonry Conf., Philadelphia, Pa., 125–136.
19.
Vermeltfoort, A. T., Raijmakers, T. M. J., and Janssen, H. J. M. (1993). “Shear tests on masonry walls.”Proc., 6th North Am. Masonry Conf., Philadelphia, Pa., 1183–1193.
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Information
Published In
Journal of Engineering Mechanics
Volume 123 • Issue 7 • July 1997
Pages: 660 - 668
Copyright
Copyright © 1997 American Society of Civil Engineers.
History
Published online: Jul 1, 1997
Published in print: Jul 1997
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