Discrete and Continuous Approaches for the Failure Analysis of Masonry Structures Subjected to Settlements

Pepe, Marco; Sangirardi, Marialuigia; Reccia, Emanuele; Pingaro, Marco; Trovalusci, Patrizia; Felice, Gianmarco de

doi:10.3389/fbuil.2020.00043

Cited by 35 publications

(30 citation statements)

References 62 publications

(69 reference statements)

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“…The position the critical joints is then obtained following a solved with a trial and error strategy by varying its position. (Pepe et al, 2019(Pepe et al, , 2020a overcome the limit in term of number of blocks respect to the original version (Baggio and Trovalusci, 2000) and it has been improved in order to take into account foundation settlement (Pepe et al, 2020b), cohesion between the joints and retrofitting cable (Pepe, 2020).…”

Section: Introductionmentioning

confidence: 99%

“…Computational limit analysis, as adopted here, is largely recognized as a very effective tool to estimate collapse load and collapse mechanisms for masonry structures Trovalusci, 1998, 2000;Milani, 2011;Milani and Taliercio, 2016;Rossi et al, 2020;Cascini et al, 2020;Grillanda et al, 2019) or masonry structures in presence of settlements (Landolfo et al, 2020;Pepe et al, 2020b). The code is used to determine the failure configuration of dry joints masonry arches, modelling the arches (according to a microscale approach) as an assemblage of rigid blocks in contact through frictional and no-tension interfaces.…”

Section: Introductionmentioning

confidence: 99%

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Limit analysis approach for the in-plane collapse of masonry arches

Pepe

Pingaro

Trovalusci

2021

Proceedings of the Institution of Civil Engineers - Engineering

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The present paper deals with the numerical evaluation of the in-plane collapse behaviour of unreinforced masonry arches and portals characterized by different geometries subjected to several loading conditions and modelled as assemblages of rigid blocks in contact through no-tensional and frictional interfaces. This study has been conducted using a new in-house code, which represents the updated version of the numerical procedure presented in the pioneering work of Baggio and Trovalusci (2000). The minimization problem corresponding to the Upper Bound (or kinematic) approach of Limit Analysis is written as a Linear Programming Problem solved taking advantages of the algorithms nowadays available. An important feature of the code is the capability to provide information about the sliding collapse of masonry structures, adopting the assumption of dilatancy in the analytic description of the yielding surface, permitting to overcome the classical Heyman's hypothesis which limited the investigation of collapse to only hinging modes. A key contribution of the work is the comparison of results in terms of collapse multipliers and collapse mechanisms considering different literature contributes as benchmark references. The presented study reveals the suitability of approaches based on mathematical programming and the crucial role played by sliding.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Limit analysis approach for the in-plane collapse of masonry arches

Pepe

Pingaro

Trovalusci

2021

Proceedings of the Institution of Civil Engineers - Engineering

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“…The formulation sets in within similar modelization attempts in the limit analysis of masonry constructions [63][64][65][66][67][68][69][70][71][72][73][74] and relies on a series of works in stating the optimiza- [75][76][77][78][79][80], as ruled by typical theoretical literature references [81][82][83][84][85].…”

Section: Least-thickness Optimization By a Complementarity Problem/mamentioning

confidence: 99%

Static Upper/Lower Thrust and Kinematic Work Balance Stationarity for Least-Thickness Circular Masonry Arch Optimization

Cocchetti

Rizzi

2020

J Optim Theory Appl

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This paper re-considers a recent analysis on the so-called Couplet–Heyman problem of least-thickness circular masonry arch structural form optimization and provides complementary and novel information and perspectives, specifically in terms of the optimization problem, and its implications in the general understanding of the Mechanics (statics) of masonry arches. First, typical underlying solutions are independently re-derived, by a static upper/lower horizontal thrust and a kinematic work balance, stationary approaches, based on a complete analytical treatment; then, illustrated and commented. Subsequently, a separate numerical validation treatment is developed, by the deployment of an original recursive solution strategy, the adoption of a discontinuous deformation analysis simulation tool and the operation of a new self-implemented Complementarity Problem/Mathematical Programming formulation, with a full matching of the achieved results, on all the arch characteristics in the critical condition of minimum thickness.

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“…In literature, numerous discrete models based on elastic [8][9][10][11] or shear deformable [12] blocks, connected by zerothickness nonlinear interfaces are present, also considering cyclic loads [11]. Furthermore, in the field of discrete modeling for masonry, comparisons between such models and the continuous ones are frequently done [13,14], also by performing multiscale approaches [15]. e rigid block model adopted here is particularly suitable for studying historical masonry, since it considers blocks as rigid bodies and dry or mortar joints as nonlinear interfaces.…”

Section: Introductionmentioning

confidence: 99%

Refined Rigid Block Model for In‐Plane Loaded Masonry

Baraldi

Bello

Cecchi

et al. 2020

Advances in Civil Engineering

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In this work, a refined rigid block model is proposed for studying the in-plane behavior of regular masonry. The rigid block model is based on an existing discrete/rigid model with rigid blocks and elastoplastic interfaces that already proven its effectiveness in representing masonry behavior in linear and nonlinear fields. In this case, the proposed model is improved by assuming rigid quadrilateral elements connected by one-dimensional nonlinear interfaces, which are adopted both to represent mortar (or dry) joints between the blocks and also to represent inner potential cracks into the blocks. Furthermore, the softening behavior of interfaces in tension and shear is taken into account. Several numerical tests are performed by considering masonry panels with regular texture subjected to compression and shear. Particular attention is given to the collapse mechanisms and the pushover curves obtained numerically and compared with existing numerical and laboratory results. Furthermore, the numerical tests aim to evaluate the applicability limits of the proposed model with respect to existing results.

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Discrete and Continuous Approaches for the Failure Analysis of Masonry Structures Subjected to Settlements

Cited by 35 publications

References 62 publications

Limit analysis approach for the in-plane collapse of masonry arches

Limit analysis approach for the in-plane collapse of masonry arches

Static Upper/Lower Thrust and Kinematic Work Balance Stationarity for Least-Thickness Circular Masonry Arch Optimization

Refined Rigid Block Model for In‐Plane Loaded Masonry

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