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Meccanica

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02.10.2017 | New Trends in Mechanics of Masonry

Homogenization of heterogeneous masonry beams

verfasst von: Daniela Addessi, Elio Sacco

Erschienen in: Meccanica | Ausgabe 7/2018

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Abstract

This study presents a two-scale model to describe the out-of-plane masonry response. One-dimensional (1D) structural elements, like masonry columns or strips of long wall characterized by the periodic repetition of bricks and mortar arranged in stack bond, are considered. A damage-friction plasticity law is adopted to model the mortar joint constitutive response, while the bricks are assumed as linear elastic. A 1D beam formulation is introduced at both the structural and micromechanical scale, linking the two levels by means of a kinematic map. This expresses the microscopic beam strains in the masonry unit cell (UC) as function of the macroscopic generalized strains. The kinematic field in the UC is completed by adding an unknown periodic fluctuation term. A nonlinear homogenization procedure is developed, proposing a semi-analytical solution for the micromechanical problem, based on the fiber discretization of the mortar joints. A force-based beam-column finite element procedure is adopted at the structural scale and the solution algorithm for the element state determination is illustrated in details. Some numerical applications, showing the UC constitutive response and the behavior of masonry structural elements, are finally presented.

Vorheriger Artikel Meshless meso-modeling of masonry in the computational homogenization framework

Nächster Artikel Failure surface of quasi-periodic masonry by means of Statistically Equivalent Periodic Unit Cell approach

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Titel: Homogenization of heterogeneous masonry beams
verfasst von: Daniela Addessi
Elio Sacco
Publikationsdatum: 02.10.2017
Verlag: Springer Netherlands
Erschienen in: Meccanica / Ausgabe 7/2018
Print ISSN: 0025-6455
Elektronische ISSN: 1572-9648
DOI: https://doi.org/10.1007/s11012-017-0758-2

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