Sequential linear analysis of no-tension masonry structures
Grigor Angjeliu, Matteo Bruggi, Alberto Talierciodownload PDF
Abstract. A new application of the elastic no-tension material model is developed through Sequential Linear Analysis (SLA) to analyze masonry structures. The approach has been demonstrated to be more robust compared to incremental analysis procedures. In the SLA framework, the equilibrium state of a masonry-like material is sought through a series of linear elastic analyses. In the loading process, cracking strains are simulated by sequential reduction of the directional stiffness upon violation of the no-tension constraint in terms of principal stresses. Some applications are presented to show the effectiveness of the proposed method in analyzing masonry structures under the effect of gravity, lateral loading, and ground settlements.
Masonry, Elastic No-Tension Material, Sequential Linear Analysis
Published online 3/17/2022, 6 pages
Copyright © 2023 by the author(s)
Published under license by Materials Research Forum LLC., Millersville PA, USA
Citation: Grigor Angjeliu, Matteo Bruggi, Alberto Taliercio, Sequential linear analysis of no-tension masonry structures, Materials Research Proceedings, Vol. 26, pp 319-324, 2023
The article was published as article 52 of the book Theoretical and Applied Mechanics
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 P.B. Lourenço, J.G. Rots, J. Blaauwendraad, Continuum Model for Masonry: Parameter Estimation and Validation, Journal of Structural Engineering, 124 (1998) 642-652. https://doi.org/10.1061/(ASCE)0733-9445(1998)124:6(642)
 C. Cusano, G. Angjeliu, A. Montanino, G. Zuccaro, C. Cennamo, Considerations about the static response of masonry domes: a comparison between limit analysis and finite element method, International Journal of Masonry Research and Innovation, 6 (2021) 502-528. https://doi.org/10.1504/IJMRI.2021.118835
 E. Sacco, Modellazione e calcolo di strutture in materiale non resistente a trazione, Rend. Mat. Acc. Lincei, 1 (1990) 235-258. https://doi.org/10.1007/BF03001757
 M. Angelillo, Constitutive relations for no-tension materials, Meccanica, 28 (1993) 195-202. https://doi.org/10.1007/BF00989121
 M. Angelillo, L. Cardamone, A. Fortunato, A numerical model for masonry-like structures, Journal of Mechanics of Materials and Structures, Volume 5, No. 4 (2010). Https://doi.org/10.2140/jomms.2010.5.583
 M. Bruggi, A. Taliercio, Analysis of no-tension structures under monotonic loading through an energy-based method, Computers & Structures, 159 (2015) 14-25. https://doi.org/10.1016/j.compstruc.2015.07.002
 M. Pari, M. Hendriks, J.G. Rots, Non-proportional loading in sequentially linear solution procedures for quasi-brittle fracture: A comparison and perspective on the mechanism of stress redistribution, Engineering Fracture Mechanics, 230 (2020) 106960. https://doi.org/10.1016/j.engfracmech.2020.106960
 G. Del Piero, Constitutive equation and compatibility of the external loads for linear elastic masonry-like materials, Meccanica, 24 (1989) 150-162. https://doi.org/10.1007/BF01559418
 S. Mastrodicasa, Dissesti statici delle strutture edilizie. Diagnosi e consolidamento, (1958).
 R. Esposito, G.J.P. Ravenshorst, Quasi-static cyclic in-plane tests on masonry components, Report C31B67WP3-4, Delft University of Technology, 2017.