NURBS-based kinematic limit analysis of FRP-reinforced masonry walls with out-of-plane loading

A three-dimensional (3D) general upper-bound limit analysis procedure for the determination of the collapse load of out-of-plane loaded masonry walls with Fiber Reinforced Polymer (FRP) reinforcement strips is presented. The geometry of a given FRP reinforced masonry wall of arbitrary shape is repre...

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Main Authors: Andrea Chiozzi, Nicola Grillanda, Gabriele Milani, Antonio Tralli
Format: Article
Language:English
Published: Gruppo Italiano Frattura 2020-01-01
Series:Fracture and Structural Integrity
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Online Access:https://www.fracturae.com/index.php/fis/article/view/2570
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author Andrea Chiozzi
Nicola Grillanda
Gabriele Milani
Antonio Tralli
author_facet Andrea Chiozzi
Nicola Grillanda
Gabriele Milani
Antonio Tralli
author_sort Andrea Chiozzi
collection DOAJ
description A three-dimensional (3D) general upper-bound limit analysis procedure for the determination of the collapse load of out-of-plane loaded masonry walls with Fiber Reinforced Polymer (FRP) reinforcement strips is presented. The geometry of a given FRP reinforced masonry wall of arbitrary shape is represented by its Non-Uniform Rational B-Spline (NURBS) description in the three-dimensional Euclidean space. The NURBS parameter space is partitioned by means of a number of possible fracture lines and the original reinforced wall geometry is subdivided into an initial set of rigid elements, accordingly. An upper-bound limit analysis formulation, accounting for the main characteristics of both masonry material and FRP reinforcement by means of homogenization techniques, is deduced. Internal dissipation is allowed along element edges only and the effect of vertical loads and membrane stresses is considered as well. Numerical experiments show that a good estimate of the load bearing capacity is obtained provided that the initial arrangement of yield lines is adjusted by means of a suitable Genetic Algorithm (GA).
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institution Kabale University
issn 1971-8993
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spelling doaj-art-352d03f64844477a946cadf260be95912025-01-02T22:37:17ZengGruppo Italiano FratturaFracture and Structural Integrity1971-89932020-01-01145192310.3221/IGF-ESIS.51.022570NURBS-based kinematic limit analysis of FRP-reinforced masonry walls with out-of-plane loadingAndrea Chiozzi0Nicola Grillanda1Gabriele Milani2Antonio Tralli3University of FerraraTechnical University of MilanTechnical University of MilanUniversity of FerraraA three-dimensional (3D) general upper-bound limit analysis procedure for the determination of the collapse load of out-of-plane loaded masonry walls with Fiber Reinforced Polymer (FRP) reinforcement strips is presented. The geometry of a given FRP reinforced masonry wall of arbitrary shape is represented by its Non-Uniform Rational B-Spline (NURBS) description in the three-dimensional Euclidean space. The NURBS parameter space is partitioned by means of a number of possible fracture lines and the original reinforced wall geometry is subdivided into an initial set of rigid elements, accordingly. An upper-bound limit analysis formulation, accounting for the main characteristics of both masonry material and FRP reinforcement by means of homogenization techniques, is deduced. Internal dissipation is allowed along element edges only and the effect of vertical loads and membrane stresses is considered as well. Numerical experiments show that a good estimate of the load bearing capacity is obtained provided that the initial arrangement of yield lines is adjusted by means of a suitable Genetic Algorithm (GA).https://www.fracturae.com/index.php/fis/article/view/2570limit analysismasonrymasonry wallsfrp stripsnurbsgenetic algorithms
spellingShingle Andrea Chiozzi
Nicola Grillanda
Gabriele Milani
Antonio Tralli
NURBS-based kinematic limit analysis of FRP-reinforced masonry walls with out-of-plane loading
Fracture and Structural Integrity
limit analysis
masonry
masonry walls
frp strips
nurbs
genetic algorithms
title NURBS-based kinematic limit analysis of FRP-reinforced masonry walls with out-of-plane loading
title_full NURBS-based kinematic limit analysis of FRP-reinforced masonry walls with out-of-plane loading
title_fullStr NURBS-based kinematic limit analysis of FRP-reinforced masonry walls with out-of-plane loading
title_full_unstemmed NURBS-based kinematic limit analysis of FRP-reinforced masonry walls with out-of-plane loading
title_short NURBS-based kinematic limit analysis of FRP-reinforced masonry walls with out-of-plane loading
title_sort nurbs based kinematic limit analysis of frp reinforced masonry walls with out of plane loading
topic limit analysis
masonry
masonry walls
frp strips
nurbs
genetic algorithms
url https://www.fracturae.com/index.php/fis/article/view/2570
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