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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| Published in | Earthquake engineering & structural dynamics Vol. 53; no. 13; pp. 3963 - 3982 |
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| Main Authors | , |
| Format | Journal Article |
| Language | English |
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Bognor Regis
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25.10.2024
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| Abstract | 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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| AbstractList | 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. |
| Author | Portioli, Francesco P. A. Lourenço, Paulo B. |
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| CitedBy_id | crossref_primary_10_1016_j_istruc_2024_107954 crossref_primary_10_1016_j_ijmecsci_2025_110055 |
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| Snippet | A rigid block model with elasto‐plastic softening interfaces is developed for nonlinear static analysis of masonry structures subject to monotonic loading.... |
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| SubjectTerms | 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 |
| Title | Nonlinear static analysis of masonry structures with mortar joints and cracking units by optimization‐based rigid block models |
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