Suitability of Micromechanical Model for Elastic Analysis of Masonry
Publication: Journal of Engineering Mechanics
Volume 125, Issue 8
Abstract
A micromechanical model is proposed for determining the overall linear elastic mechanical properties of simple-texture brick masonry. The model, originally developed for long-fiber composites, relies on the exact solution due to Eshelby and describes brickwork as a mortar matrix with insertions of elliptical cylinder-shaped bricks. Macroscopic elastic constants are derived from the mechanical properties of the constituent materials and phase volume ratios. Conformity of the suggested model to real brickwork behavior has been verified by performing uniaxial compression tests on masonry panels composed of fired bricks and mud mortar. Composite masonry panels of varying phase percentages were then constructed and tested by replacing several of the fired bricks with mud bricks. Comparison of experimental results with theoretical predictions demonstrates that the model is suitable even in the presence of strongly differentiated phases, and is moreover able to predict different behavior as a function of phase concentration. The model fits experimental results more closely than the micromechanical models previously reported in the literature.
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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(7), 1159–1175.
2.
Angelillo, M., and Olivito, R. S. (1992). “Sul comportamento meccanico di pareti in mattoni.” Giornale del Genio Civile, 130, 11–33.
3.
Anthoine, A. (1995). “Derivation of the in-plane elastic characteristics of masonry through homogenization theory.” Int. J. Solids and Struct., 32(2), 137–163.
4.
Del Piero, C. (1989). “Constitutive equations and compatibility of the external loads for linear elastic masonry-like materials.” Mechanica, 24(3), 150–162.
5.
Di Pasquale, S. (1992). “New trends in the analysis of masonry structures.” Mechanica, 27, 173–184.
6.
Eshelby, J. D. (1957). “The determination of elastic field of an ellipsoidal inclusion and related problems.” Proc., Royal Soc., London, 241(A), 376–396.
7.
Fratini, F., and Ranocchiai, G. (1994). “Muden building in Tuscani: Characterization of the material used in buildings of the high Valdamo.” Proc., VIII CIMTEC, P. Vincenzini, ed., Techna, Faenza, Italy, 239–246.
8.
Gambarotta, L., and Lagomarsino, S. (1993). “Fragilita e duttilita di pareti murarle ad azioni orizzontali: Interpretazione con il modello di muratura a piani di danneggiamento.” Proc., VI Conv. Naz. L'ingegneria sismica in Italia, Centro Stampa dell'Universita' degli Studi di Perugia, Perugia, Italy, 513–522.
9.
Gurtin, M. E. ( 1972). “The linear theory of elasticity.” Encyclopedia of physics, C. Truesdell, ed., VIa/2, Berlin.
10.
Hashin, Z. (1983). “Analysis of composite materials—A survey.” J. Appl. Mech., 50, 481–505.
11.
Maier, G., Nappi, A., and Papa, E. ( 1991). “On damage and failure of brick masonry.” Experimental and numerical methods in mudquake engineering, C. Donea and P. M. Jones, eds., Ispra, 223–225.
12.
Mori, T., and Tanaka, K. (1973). “Average stress in matrix and average elastic energy of materials with misfitting inclusions.” Acta Metallurgica, 21, 571–574.
13.
Page, A. W. (1978). “Finite element model for masonry.”J. Struct. Div., ASCE, 104, 1267–1285.
14.
Page, A. W. (1983). “The strength of brick masonry under biaxial tension-compression.” Int. J. Masonry Constr., 3(1), 26–31.
15.
Pande, G. N., Liang, J. X., and Middleton, J. (1989). “Equivalent elastic moduli for brick masonry.” Comp. and Geotechnics, 8, 243–265.
16.
Parton, V. Z., and Kudryavstsev, B. A. (1993). Engineering mechanics of composite structures. CRC, Boca Raton, Fla.
17.
Pietruszczak, S., and Niu, X. (1992). “A mathematical description of macroscopic behavior of brick masonry.” Int. J. Solids and Struct., 29, 531–546.
18.
Ranocchiai, G., and Rovero, L. (1994). “Influence of insertion of fired bricks on the mechanical characteristics of adobe brickwork.” Proc., VIII CIMTEC, P. Vincenzini, ed., Techna, Faenza, Italy, 231–238.
19.
Ranocchiai, G., and Rovero, L. (1995). “Analisi del comportamento meccanico di pannelli murari mediante techniche di omogeneizzazioni.” Proc., XII AIMETA, Officine grafiche napoletane F. Giannini e Figli, Naples, Italy, 1, 205–210.
20.
Steigmann, D. J. (1991). “Analysis of a theory of elasticity for masonry solids.” J. Mech Phys. Solids, 39(4), 543–553.
21.
Suquet, P. M. (1985). “Elements of homogenization for inelastic solid mechanics.” Homogenization techniques for composite media, E. Sanchez-Palencia and A. Zaoui, eds., Springer, Berlin.
22.
Zhao, Y. H., and Weng, G. J. (1990). “Effective elastic moduli of ribbon-reinforced composites.” J. Appl. Mech., 57, 158–166.
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Published online: Aug 1, 1999
Published in print: Aug 1999
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