Nonlinear static analysis of masonry structures with mortar joints and cracking units by optimization‐based rigid block models

A rigid block model with elasto‐plastic softening interfaces is developed for nonlinear static analysis of masonry structures subject to monotonic loading. Cracking, crushing, and shear failures are taken into account at interfaces, following a simple micro‐modeling approach. An optimization‐based f...

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Bibliographic Details
Published in:Earthquake engineering & structural dynamics Vol. 53; no. 13; pp. 3963 - 3982
Main Authors: Portioli, Francesco P. A., Lourenço, Paulo B.
Format: Journal Article
Language:English
Published: Bognor Regis Wiley Subscription Services, Inc 25.10.2024
Subjects:
Arches
cohesive strength
cracking units
Equilibrium conditions
Failure mechanisms
incremental solution procedure
Interfaces
Masonry
Modelling
mortar joints
Mortars (material)
non‐linear static analysis
Optimization
optimization‐based formulation
Prisms
rigid block modeling
Rigid blocks
Shear
Shear tests
Shear walls
Softening
softening behavior
Tensile strength
ISSN:0098-8847, 1096-9845
Online Access:Get full text
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Summary:A rigid block model with elasto‐plastic softening interfaces is developed for nonlinear static analysis of masonry structures subject to monotonic loading. Cracking, crushing, and shear failures are taken into account at interfaces, following a simple micro‐modeling approach. An optimization‐based formulation is used for the solution of the equation systems governing the behavior of the rigid block assemblage. A simple incremental solution procedure is implemented to take into account the material softening behavior and the effects of large displacements on equilibrium conditions. The interface models are validated against tension and shear tests on bi‐block prisms from the literature. Applications to numerical and experimental out‐of‐plane loaded masonry walls as well as to circular arches with mortar joints are presented to evaluate the effects of tensile strength and the accuracy of the developed model against responses involving P‐Δ effects. Comparisons with experimental tests on shear walls also involving cracking of the units in the failure mechanisms are finally reported to discuss the potentialities and limitations of the proposed modeling approach.
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ISSN:0098-8847
1096-9845
DOI:10.1002/eqe.4206