TECHNICAL PAPERS
May 1, 2001

Homogenization of Masonry Using Numerical Simulations

Publication: Journal of Engineering Mechanics
Volume 127, Issue 5

Abstract

Homogenization is one of the most important steps in the numerical analysis of masonry structures where the continuum method is used. In the present study, equivalent elastic properties, strength envelope, and different failure patterns of masonry material are homogenized by numerically simulating responses of a representative volume element (RVE) under different stress conditions. The RVE is modeled with distinctive consideration of the material properties of mortar and brick. In the numerical simulation, various displacement boundaries are applied on the RVE surfaces to derive the stress-strain relation under different conditions. The equivalent overall material properties of the RVE are averaged by integrating the stresses and strains over the entire area. Failure of masonry is defined by three different modes, namely, tensile failure of mortar (Mode I), shear failure of mortar or combined shear failure of brick and mortar (Mode II), and compressive failure of brick (Mode III). The homogenized elastic properties and failure model can be used to analyze large-scale masonry structures.

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References

1.
Alpa, G., and Monetto, I. ( 1994). “Microstructural model for dry block masonry walls with in-plane loading.” J. Mech. Phys. Solids, 42, 1159–1175.
2.
Anthoine, A. ( 1995). “Derivation of the in-plane elastic characteristics of masonry through homogenization theory.” Int. J. Solids and Struct., 32, 137–163.
3.
Anthoine, A., Magonette, G., and Magenes, G. ( 1994). “Shear-compression testing and analysis of brick masonry walls.” Proc., 10th Eur. Conf. on Earthquake Engrg., G. Duma, ed., Vol. 3, Balkema, Rotterdam, The Netherlands, 1657–1662.
4.
Genna, F., Pasqua, M. D., and Veroli, M. ( 1998). “Numerical analysis of old masonry buildings: A comparison among constitutive models.” Engrg. Struct., 20(1–2), 37–53.
5.
Hamid, A. A., and Drysdale, R. G. (1981). “Proposed failure criteria for concrete block masonry under biaxial stresses.”J. Struct. Div., ASCE, 107(8), 1675–1687.
6.
Hendry, A. W. ( 1990). Structural masonry, Macmillan, New York.
7.
Hendry, A. W., and Malek, M. H. ( 1986). “Characteristic compressive strength of brickwork from collected test results.” Masonry Int., 7, 15–24.
8.
Kirtschigg, K. ( 1985). “On the failure mechanism of masonry subject of compression.” Proc., 7th Int. Brick Masonry Conf., Melbourne, Australia, 625–629.
9.
Lotfi, H. R., and Shing, P. B. ( 1991). “An appraisal of smeared crack models for masonry shear wall analysis.” Comp. and Struct., 41, 413–425.
10.
Luciano, R., and Sacco, E. ( 1997). “Homogenization technique and damage mode for masonry material.” Int. J. Solids and Struct., 34(24), 3191–3208.
11.
Mann, W. ( 1982). “Statistical evaluation of tests on masonry by potential functions.” Proc., 6th Int. Brick Masonry Conf., Rome, Italy, 86–89.
12.
Mazars, J. ( 1986). “A description of micro- and macroscale damage of concrete structures.” Engrg. Fract. Mech., 25(5/6), 729–737.
13.
Page, A. W. (1978). “Finite-element model for masonry.”J. Struct. Div., ASCE, 104(8), 1267–1285.
14.
Page, A. W. ( 1980). “A biaxial failure criterion for brick masonry in the tension-tension range.” Int. J. Masonry Constr., 1(1), 26–29.
15.
Pagnoni, T. ( 1994). “Seismic analysis of masonry and block structures with discrete element method.” Proc., 10th Eur. Conf. on Earthquake Engrg., G. Duma, ed., Vol. 3, Balkema, Rotterdam, The Netherlands, 1669–1674.
16.
Pande, G. N., Kralj, B., and Middleton, J. ( 1994). “Analysis of the compressive strength of masonry given by the equation fk = K(fb)α(fm)β.” The Struct. Engr., London, 72(1), 7–12.
17.
Pande, G. N., Liang, J. X., and Middleton, J. ( 1989). “Equivalent elastic moduli for brick masonry.” Comput. Geotech., 8, 243–265.
18.
Suquet, P. M. ( 1987). “Elements of homogenization for inelastic solid mechanics.” Homogenization techniques for composite media, E. Sanchez-Palencia et al., eds., Springer, New York.

Information & Authors

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Published In

Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 127Issue 5May 2001
Pages: 421 - 431

History

Received: Nov 30, 1999
Published online: May 1, 2001
Published in print: May 2001

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Authors

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Member, ASCE
Res. Assoc., School of Civ. and Struct. Engrg., Nanyang Technol. Univ., Singapore 639798.
Assoc. Prof., School of Civ. and Struct. Engrg., Nanyang Technol. Univ., Singapore 639798.
Asst. Prof., School of Civ. and Struct. Engrg., Nanyang Technol. Univ., Singapore 639798.

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