Abstract
In the present paper, the upper bound of the failure surface of quasi-periodic masonry is estimated by means of Discontinuity Layout Optimization (DLO). This allows to overcome the difficulties in using methods which have been tailored for periodic masonry. With this approach, the domain is discretized with a great number of points which are the boundaries possible discontinuities associated with a failure mechanism. The effective pattern of discontinuities at failure is estimated, through usual methods of limit analysis, by minimizing a suitable function. In particular, the present paper shows the first results obtained for a masonry with a quasi-periodic and a random texture, assuming that the discontinuities can appear only in the mortar joints and according to Mohr-Coulomb failure criterion.
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References
Gusella, V., Cluni, F.: Random field and homogenization for masonry with nonperiodic microstructure. J. Mech. Mater. Struct. 1, 357–386 (2006)
Autuori, G., Cluni, F., Gusella, V., Pucci, P.: Mathematical models for nonlocal elastic composite materials. Adv. Nonlinear Anal. 6, 355–382 (2017)
Cavalagli, N., Cluni, F., Gusella, V.: Strength domain of non-periodic masonry by homogenization in generalized plane state. Eur. J. Mech. - A/Solids 30, 113–126 (2011)
Cavalagli, N., Cluni, F., Gusella, V.: Failure surface of quasi-periodic masonry by means of Statistically Equivalent Periodic Unit Cell approach. Meccanica 53, 1719–1736 (2018)
Luciano, R., Sacco, E.: Homogenization technique and damage model for masonry. Int. J. Solids Struct. 34, 3191–3208 (1997)
Milani, G.: Simple lower bound limit analysis homogenization model for in- and out-of plane loaded masonry walls. Constr. Build. Mater. 25, 4426–4443 (2011)
Baraldi, D., Cecchi, A.: Discrete approaches for the nonlinear analysis of in plane loaded masonry walls: molecular dynamic and static algorithm solutions. Eur. J. Mech. A/Solids 57, 165–177 (2016)
Di Nino, S., Luongo, A.: A simple homogenized orthotropic model for in-plane analysis of regular masonry walls. Int. J. Solids Struct. 167, 156–169 (2019)
Smith, C., Gilbert, M.: Application of discontinuity layout optimization to plane plasticity problems. Proc. Roy. Soc. Lond. A Math. Phys. Eng. Sci. 463, 2461–2484 (2007)
Gilbert, M., Smith, C.: Soil structure revolution. Struct. Eng. 88, 18–22 (2010)
Heyman, J.: The stone skeleton. Int. J. Solids Struct. 2, 249–279 (1966)
Milani, G., Lourenço, P.B., Tralli, A.: Homogenised limit analysis of masonry walls, part I: failure surfaces. Comput. Struct. 84, 166–180 (2006)
Portioli, F., Cascini, L., Casapulla, C., D’Aniello, M.: Limit analysis of masonry walls by rigid block modelling with cracking units and cohesive joints using linear programming. Eng. Struct. 57, 232–247 (2013)
Gilbert, M., Smith, C.C., Pritchard, T.J.: Masonry arch analysis using discontinuity layout optimisation. Proc. Inst. Civil Eng. - Eng. Comput. Mech. 163, 155–166 (2010)
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Cluni, F., Gusella, V., Schiantella, M. (2020). Upper Bound Limit Analysis of Quasi-Periodic Masonry by Means of Discontinuity Layout Optimization (DLO). In: Carcaterra, A., Paolone, A., Graziani, G. (eds) Proceedings of XXIV AIMETA Conference 2019. AIMETA 2019. Lecture Notes in Mechanical Engineering. Springer, Cham. https://doi.org/10.1007/978-3-030-41057-5_169
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DOI: https://doi.org/10.1007/978-3-030-41057-5_169
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