Pure compressive solutions for masonry domes under gravity loads

Pure compressive solutions for masonry domes under gravity loads

Arsenio Cutolo, Enrico Babilio, Ida Mascolo,, Elio Sacco

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Abstract. In recent years, efforts have been made to compare equilibrium solutions of masonry domes obtained through different methods. The research summarized in the present paper focuses on the evaluation of the equilibrium of masonry domes in the context of the classical membrane theory, in comparison with more sophisticated finite element models. In particular, we consider solutions, with vanishing tensile stresses, for domes under gravity loads. The equilibrium problem is traced back to the equilibrium of a thrust surface under the assumption of no-tension material in the sense of Heyman (i.e., no tensile strength, infinite resistance in compression, and no slide along fracture lines). A finite difference discretization of the equilibrium equation is proposed and the obtained solution is compared with results from a nonlinear finite element analysis. The good agreement of the results shows that both finite difference and finite element approaches represent reasonable and reliable alternative tools.

Dome, No-Tension Material, Membrane Equilibrium Problem, Thrust Surface Analysis, Finite Element Method

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: Arsenio Cutolo, Enrico Babilio, Ida Mascolo,, Elio Sacco, Pure compressive solutions for masonry domes under gravity loads, Materials Research Proceedings, Vol. 26, pp 361-366, 2023

DOI: https://doi.org/10.21741/9781644902431-59

The article was published as article 59 of the book Theoretical and Applied Mechanics

Content from this work may be used under the terms of the Creative Commons Attribution 3.0 license. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.

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