Nonlinear Analysis of Unreinforced Masonry Walls under Blast Loading Using Mesoscale Partitioned Modeling
Publication: Journal of Structural Engineering
Volume 140, Issue 8
Abstract
This paper presents the application of an advanced modeling strategy for the nonlinear analysis of structures with unreinforced masonry (URM) components under blast loading. This approach enables the investigation of the nonlinear dynamic response of large structures with URM walls, accounting for the mechanical and geometrical characteristics of URM components, the coupling between the in-plane and out-of-plane response as well as the interaction between URM panels and the other parts of the considered structural system. According to the utilized strategy an URM wall is described by a parent structure, which consists of super-elements representing the partitioned subdomains, allowing effective parallelization of the nonlinear structural analysis simulation. Each partition is represented by a detailed 3D mesoscale model, which uses an advanced 2D nonlinear interface element that allows the representation of crack propagation in URM elements. Furthermore, the macroscale model considers only the partition boundaries of the mesoscale descriptions and specific macro-elements are introduced to reduce the number of freedoms leading to further enhance the computational savings. Several examples are presented in the paper to validate the proposed approach and to demonstrate its major computational benefits in simulating the response of structures with URM walls subjected to blast loading.
Get full access to this article
View all available purchase options and get full access to this article.
Acknowledgments
The authors gratefully acknowledge the support provided for this research by the High Performance Computing (HPC) Services at Imperial College London.
References
Abou-Zeid, B. M., El-Dakhakhni, B. M., and Razaqpur, A. G. (2011). “Response of arching unreinforced concrete masonry walls to blast.” J. Struct. Eng., 1205–1214.
Caballero, A., Willam, K. J., and Carol, I. (2008). “Consistent tangent formulation for 3D interface modeling of cracking/fracture in quasi-brittle materials.” Comp. Meth. Appl. Mech. Eng., 197(33–40), 2804–2822.
Comité Européen de Normalisation (CEN). (2005). “Eurocode 6–Design of masonry structures–Part 1-1: General rules for reinforced and unreinforced masonry structures.”, Brussels, Belgium.
Dennis, S. T., Baylot, J. T., and Woodson, S. C. (2002). “Response of 1/4-scale concrete masonry units (CMU) walls to blast.” J. Eng. Mech., 134–143.
Eamon, C. D. (2007). “Reliability of concrete masonry unit walls subjected to explosive loads.” J. Struct. Eng., 935–944.
Eamon, C. D., Baylot, J. T., and O’Daniel, J. L. (2004). “Modeling concrete masonry walls subjected to explosive loads.” J. Eng. Mech., 1098–1106.
Hao, H., and Tarasov, B. (2008). “Experimental study of dynamic material properties of clay brick and mortar at different strain rates.” Austral. J. Struct. Eng., 8(2), 117–131.
Hilber, H. M., Hughes, T. J. R., and Taylor, R. L. (1977). “Improved numerical dissipation for time integration algorithms in structural dynamics.” Earthqu. Eng. Struct., 5(3), 283–292.
Izzuddin, B. A. (1991). “Nonlinear dynamic analysis of framed structures.” Ph.D. thesis, Imperial College, Univ. of London, London.
Izzuddin, B. A. (2005). “An enhanced co-rotational approach for large displacement analysis of plates.” Int. J. Numer. Methods Eng., 64(10), 1350–1374.
Jokhio, G. A. (2012). “Mixed dimensional hierarchic partitioned analysis of nonlinear structural systems.” Ph.D. thesis, Imperial College, London.
Jokhio, G. A., and Izzuddin, B. A. (2013). “Parallelisation of nonlinear structural analysis using dual partition super-elements.” Adv. Eng. Softw., 60–61, 81–88.
Lourenço, P. B., De Borst, R., and Rots, J. G. (1997). “A plane stress softening plasticity model for orthotropic materials.” Int. J. Numer. Methods Eng., 40(21), 4033–4057.
Lourenço, P. B., and Rots, J. G. (1997). “Multisurface interface model for analysis of masonry structures.” J. Eng. Mech., 660–668.
Macorini, L., and Izzuddin, B. A. (2011). “A non-linear interface element for 3D mesoscale analysis of brick-masonry structures.” Int. J. Numer. Methods Eng., 85(12), 1584–1608.
Macorini, L., and Izzuddin, B. A. (2013). “Nonlinear analysis of masonry structures using mesoscale partitioned modelling.” Adv. Eng. Softw., 60–61, 58–69.
Masonry Standards Joint Committee (MSJC). (2009). “Building code requirements for masonry structures.”, The Masonry Society, American Concrete Institute and ASCE, Boulder, CO, New York, and Detroit.
Mercatoris, B. C. N., and Massart, T. J. (2011). “A coupled two-scale computation scheme for the failure of periodic quasi-brittle thin planar shells and its application to masonry.” Int. J. Numer. Methods Eng., 85(9), 1177–1206.
Rots, J. G., ed. (1997). Structural masonry: An experimental/numerical basis for practical design rules, A. A. Balkema, Rotterdam, The Netherlands.
Toselli, A., and Widlund, O. (2005). “Domain decomposition methods–algorithms and theory”. Springer Series in Computational Mathematics, Vol. 34, Springer, Berlin Heidelberg.
Varma, R. K., Tomar, C. P. S., and Parkash, S. (1997). Structures Under Extreme Loading Conditions: Proc., ASME Pressure Vessels and Piping Conf., Vol. 351, American Association of Petroleum Geologists, Tulsa, OK, 207–216.
Wei, X., and Stewart, M. G. (2010). “Model validation and parametric study on the blast response of unreinforced brick masonry walls.” Int. J. Impact Eng., 37(11), 1150–1159.
Zienkiewicz, O. C., and Taylor, R. L. (2000). The finite element method. Vol. 1: The basis, 5th Ed., Butterworth-Heinemann, Oxford, U.K.
Information & Authors
Information
Published In
Copyright
© 2014 American Society of Civil Engineers.
History
Received: Jan 9, 2013
Accepted: Aug 27, 2013
Published online: Jan 13, 2014
Discussion open until: Jun 13, 2014
Published in print: Aug 1, 2014
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.