Modeling Fracture in Masonry
Publication: Journal of Structural Engineering
Volume 133, Issue 10
Abstract
A finite element procedure developed for the study of fracture in concrete is extended for the simulation of tensile and/or shear fracture in masonry. Triangular units are grouped into rectangular zones mimicking brick units with surrounding mortar joints. Fracture is captured through a constitutive softening-fracture law at the boundary interface nodes. The mortar joint, which is a plane of weakness, can be modeled as an interface of zero thickness or of a given thickness. At each nodal location, there exist essentially two nodes, the relative displacement (i.e., crack opening or sliding) of which is related to the conjugate internodal force by the appropriate softening relationship. The model is ideally suited to the modeling of fracture in masonry because fracture usually runs along a horizontal or vertical joint in the mortar or is approximately vertical in the brick unit. The inelastic failure properties are divided into those for the mortar joints and those for fracture within the brick units. The inelastic failure surface is modeled using a Mohr–Coulomb failure surface with a tension cut-off. Examples which include: Direct tension, microshear, and three-point bending of masonry panels are used to verify the formulation.
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Acknowledgments
The writers gratefully acknowledge the financial support of the Australian Research Council Large Grant.
References
Attard, M. M., and Tin-Loi, F. (1999). “Fracture simulation using a discrete triangular element.” ACMSM 16, Sydney, Australia, 11–16.
Attard, M. M., and Tin-Loi, F. (2005). “Numerical simulation of quasibrittle fracture in concrete.” Eng. Fract. Mech., 72(3), 387–411.
Bolzon, G., Maier, G., and Tin-Loi, F. (1995). “Holonomic and nonholonomic simulations of quasi-brittle fracture: A comparative study of mathematical programming approaches.” Proc., Fracture Mechanics of Concrete Structures, FRAMCOS, Vol. 2, F. H. Wittmann, ed., Freiburg, 885–898.
Bolzon, G., Maier, G., and Tin-Loi, F. (1997). “On multiplicity of solutions in quasi-brittle fracture computations.” Comput. Mech., 19, 511–516.
Giambanco, G., Rizzo, S., and Spallino, R. (2001). “Numerical analysis of masonry structures via interface models.” Comput. Methods Appl. Mech. Eng., 6494–6511.
Guinea, G. V., Hussein, G., Elices, M., and Planas, J. (2000). “Micromechanical modeling of brick-masonry fracture.” Cem. Concr. Res., 30, 731–737.
Lemke, C. E. (1965). “Bimatrix equilibrium points and mathematical programming.” Manage. Sci., 11, 681–689.
Lourenço, P. B. (1996). “Computational strategies for masonry structures.” Ph.D. thesis, Delft Univ. of Technology, Delft, The Netherlands.
Lourenço, P. B., and Rots, J. G. (1997). “Multisurface interface model for analysis of masonry structures.” J. Eng. Mech., 123(7), 660–668.
Lourenço, P. B., Rots, J. G., and Blaauwendraad, J. (1997). “Current possibilities of masonry modelling.” Finite elements in engineering and science, Hendriks, Jongedijk, J. G. Rots, and Spanje, eds., Balkema, Rotterdam, The Netherlands, 285–295.
Lourenço, P. B., Rots, J. G., and Van Der Pluijm, R. (1999). “Understanding the tensile behaviour of masonry parallel to the bed joints: A numerical approach.” Masonry Int., 12(3), 96–103.
Maier, G. (1970). “A matrix structural theory of piecewise-linear elastoplasticity with interacting inelastic failure planes.” Meccanica, 5, 54–66.
Nappi, A., and Tin-Loi, F. (1999). “A discrete formulation for the numerical analysis of masonry structures.” Proc., APCOM ’99, 4th Asia-Pacific Conf. on Computational Mechanics—Computational Mechanics for the Next Millennium, Vol. 1, C. M. Wang, K. H. Lee, and K. K. Ang, eds., Elsevier Science Ltd., Amsterdam, The Netherlands, 81–86.
Nappi, A., and Tin-Loi, F. (2000). “A numerical model for masonry implemented in the framework of a discrete formulation.” Struct. Eng. Mech., 11(2), 171–184.
Page, A. W. (1978). “Finite element model for masonry.” J. Struct. Div., 108(8), 1267–1285.
Page, A. W. (1980). “A biaxial failure criterion for brick masonry in the tension range.” Int. J. Masonry Constr., 1, 26–29.
Sutcliffe, D. J., Yu, H. S., and Page, A. W. (1999). “Computational mechanics-limit analysis of unreinforced masonry shear walls.” ACMSM 16, Sydney, Australia, 23–28.
Tin-Loi, F., and Tseng, P. (2003). “Efficient computation of multiple solutions in quasibrittle fracture analysis.” Comput. Methods Appl. Mech. Eng., 192, 1377–1388.
van der Pluijm, R. (1992). “Material properties of masonry and its components under tension and shear.” 6th Canadian Masonry Symp., University of Saskatchewan, Sask., Canada, 675–686.
van der Pluijm, R. (1993), “Shear behaviour of bed joints.” 6th North American Masonry Conf., 125–136.
van Zijl, G. P. A. G. (1996). “Shear transfer across bed joints in masonry: A numerical study.” TU-DELFT Rep. No. 03.21.0.22.28, Delft Univ. of Technology, Delft, The Netherlands.
van Zijl, G. P. A. G. (2001). “A discrete crack modelling strategy for masonry structures.” Structural engineering, mechanics, and computation, 745–752.
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© 2007 ASCE.
History
Received: Jul 22, 2003
Accepted: Apr 9, 2007
Published online: Oct 1, 2007
Published in print: Oct 2007
Notes
Note. Associate Editor: Khalid M. Mosalam
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