Masonry structures: “old” and “new” approaches to strongly local phenomena
DOI:
https://doi.org/10.3989/ic.16.032Keywords:
Masonry structures, photoelasticity, heterogeneous finite elements, rigid blocks, unilateral contactAbstract
The characterization of the material as a discontinuous media is proposed to study strongly local phenomena in the behaviour of historical masonry structures. Three methods are implemented: an experimental method, photoelastic, and two numerical methods, heterogeneous finite elements and rigid blocks in unilateral contact. Qualitative comparison of the results shows that the random irregularities in the contact between bodies play an important role in explaining local behaviour of masonry. Quantitative comparison with the results of load tests previously performed on dry masonry walls support this hypothesis. The results are very encouraging and suggest that it is necessary to develop approaches of this kind –approaches that, although relatively common in the field of granular media, have been very scarce in the field of historic masonry structures.
Downloads
References
(1) Roca, P., Cervera, M., Gariup, G. (2010). Structural analysis of masonry historical constructions. Classical and advanced approaches. Archives of Computational Methods in Engineering, 17(3): 299-325. http://dx.doi.org/10.1007/s11831-010-9046-1
(2) Tralli, A., Alessandri, C., Milani, G. (2014). Computational methods for masonry vaults: a review of recent results. Open J. Civ. Eng., 8(1): 272-287. http://dx.doi.org/10.2174/1874149501408010272
(3) Magdalena, F. (2013). El problema del rozamiento en el análisis de estructuras de fábrica mediante modelos de sólidos rígidos. Tesis de doctorado. Universidad Politécnica de Madrid.
(4) Magdalena, F., Aznar, A., Hernando, J. I., Magdalena, E. (2015). Sliding collapse in masonry structures: experimental tests. En CMMoST 2015 3rd International Conference on Mechanical Models in Structural Engineering, pp. 640-649. Sevilla, Espa-a. PMCid:PMC4661223
(5) Bigoni, D., Noselli, G. (2010). Localized stress percolation through dry masonry walls. Part I–Experiments and Part II–Modelling. European Journal of Mechanics-A/Solids, 29(3): 291-307. http://dx.doi.org/10.1016/j.euromechsol.2009.10.009
(6) Frocht, M. M. (1965). Photoelasticity. London: J. Wiley and Sons.
(7) Dally, J. W., Riley, W. F. (1991). Experimental Stress Analysis, 3rd edition. McGraw-Hill Inc.
(8) Drescher, A., de Josseling de Jong, G. (1972). Photoelastic verification of a mechanical model for the flow of a granular material. J. Mech. Phys. Solids 20: 337-351. http://dx.doi.org/10.1016/0022-5096(72)90029-4
(9) McNicholas, J. B. (1970). Photoelastic Stress Analysis of Brick Masonry Systems. SIBMAC Proceedings. En 2nd International Brick and Block Masonry Conference, pp. 88-94. Stoke-on-Trent, England.
(10) Heinrich, B. (1977). Am Anfang war der Balken. Technik lernen mit übergreifenden Bezügen. Kultur & Technik, 1: 38-45. Berlin: Deutsches Museum.
(11) Rajchenbach, J. (2001). Stress transmission through a cohesionless material. Mater. Phys. Mech., 3: 1-4.
(12) Baig, I., Ramesh, K., Hariprasad, M. P. (2015). Analysis of stress distribution in dry masonry walls using three fringe photoelasticity. En International Conference on Experimental Mechanics 2014, pp. 93022P-93022P. International Society for Optics and Photonics.
(13) Heywood, R. B. (1969). Photoelasticity for Designers, 1st edition. Pergamon Press. PMCid:PMC493386
(14) SAP2000 Advanced 14.0.0. Programa de análisis estructural. Computers and Structures, Inc. (2009).
(15) Narayanan, S. P., Sirajuddin, M. (2013). Properties of Brick Masonry for FE modeling. American Journal of Engineering Research (AJER). e-ISSN: 2320-0847.
(16) Baraldi, D., Cecchi, A., Tralli, A. (2015). Continuous and discrete models for masonry like material: A critical comparative study. European Journal of Mechanics - A/Solids, 50: 39-58. http://dx.doi.org/10.1016/j.euromechsol.2014.10.007
(17) Cundall, P. A. (1971). A computer model for simulating progressive large scale movements in blocky rock systems. En Proc. Symp. Rock Fracture (ISRM), vol. 1, paper II-8, Nancy.
(18) Livesley R. K. (1978). Limit analysis of structures formed from rigid blocks. International Journal for Numerical Methods in Engineering, 12(12): 1853-1871. http://dx.doi.org/10.1002/nme.1620121207
(19) Gilbert, M., Melbourne, C. (1994). Rigid-block analysis of masonry structures. Structural engineer, 72(21): 356-361.
(20) Fishwick, R. J. (1996). Limit analysis of rigid block structures. Tesis doctoral. Portsmouth: Department of Civil Engineering, University of Portsmouth.
(21) Ferris, M. C., Tin-Loi, F. (2001). Limit analysis of frictional block assemblies as a mathematical program with complementarity constraints. International Journal of Mechanical Sciences, 43(1): 209-224. http://dx.doi.org/10.1016/S0020-7403(99)00111-3
(22) Cottle, R. W., Pang, J. S., Stone, R. E. (2009). The linear complementarity problem. SIAM Classics in Applied Mathematics. http://dx.doi.org/10.1137/1.9780898719000 PMCid:PMC2786031
(23) Rubinstein, R. Y., Kroese, D. P. (2007). Simulation and the Monte Carlo method. Wiley.com. http://dx.doi.org/10.1002/9780470230381
(24) Magdalena-Layos, F., Hernando-García, J. (2014). Análisis límite de estructuras de fábrica como problema de contacto unilateral: un enfoque probabilista. Informes de la Construcción, 66(Extra-1): m015.
(25) Magdalena, F., Hernando, J. I., Magdalena, E. (2015). Sliding collapse in masonry structures: a numerical model. En CMMoST 2015 3rd International Conference on Mechanical Models in Structural Engineering, pp. 629-639. Sevilla, Espa-a. PMCid:PMC4661223
(26) Wand, M. P., Jones, M. C. (1995). Kernel Smoothing. London: Chapman & Hall/CRC. http://dx.doi.org/10.1007/978-1-4899-4493-1
(27) Neyman, J. (1937). Outline of a Theory of Statistical Estimation Based on the Classical Theory of Probability. Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences, 236(767): 333-380. http://dx.doi.org/10.1098/rsta.1937.0005
(28) Nikiforov A. M. (1994). Algorithm AS 288: Exact two-sample Smirnov test for arbitrary distributions. Appl. Stat., 43(1): 265-270. http://dx.doi.org/10.2307/2986126
Published
How to Cite
Issue
Section
License
Copyright (c) 2016 Consejo Superior de Investigaciones Científicas (CSIC)

This work is licensed under a Creative Commons Attribution 4.0 International License.
© CSIC. Manuscripts published in both the print and online versions of this journal are the property of the Consejo Superior de Investigaciones Científicas, and quoting this source is a requirement for any partial or full reproduction.
All contents of this electronic edition, except where otherwise noted, are distributed under a Creative Commons Attribution 4.0 International (CC BY 4.0) licence. You may read the basic information and the legal text of the licence. The indication of the CC BY 4.0 licence must be expressly stated in this way when necessary.
Self-archiving in repositories, personal webpages or similar, of any version other than the final version of the work produced by the publisher, is not allowed.







