The role of different sliding resistances in limit analysis of hemispherical masonry domes

Mousavian, Elham; Casapulla, Claudia

doi:10.3221/igf-esis.51.25

Cited by 15 publications

(7 citation statements)

References 35 publications

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“…This work focus the attention on the study of the ultimate behaviour of masonry arches of different geometries and shape, considering the presence of friction, considered by several authors (Ferris and Tin-Loi, 2001;Mousavian and Casapulla, 2020;Portioli et al, 2014;Casapulla and Maione, 2020), and comparing results with several contributes present in literature (Brandonisio et al, 2017;Calderini and Lagomarsino, 2015;Como, 2015;Misseri et al, 2018;DeJong et al, 2008). In particular, starting from (Baggio and Trovalusci, 2000), a new version of the ALMA code (Analisi Limite Murature Attritive) has been developed based on the Limit Analysis (Pepe, 2020;Pepe et al, 2019Pepe et al, , 2020a namely ALMA 2.0.…”

Section: Limit Analysis Modelmentioning

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 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: Limit Analysis Modelmentioning

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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“…One straightforward example is a hemispheric dome with stacked and running bond patterns. Carrying its self-weight, the former should have at least the minimum thickness-to-radius ratio of 0.0425 according to [15], while the latter can remain stable with a thickness close to zero if the friction coefficient at the joints is considered large enough [15,16]. Along the same line, the structural performance of different types of masonry vaults, including cross-vaults, barrel vaults and domes, constructed by bond patterns such as running bond and herringbone patterns, have been extensively investigated in the literature, as reviewed by Boni et al [17].…”

Section: Introduction 1segmentation Of Masonry Curved Structures Throughout Historymentioning

confidence: 99%

Joint Layout Design: Finding the Strongest Connections within Segmental Masonry Arched Forms

Mousavian

Casapulla

2022

Infrastructures

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Segmental arched forms composed of discrete units are among the most common construction systems, ranging from historic masonry vaults to contemporary precast concrete shells. Simple fabrication, transport, and assembly have particularly made these structural systems convenient choices to construct infrastructures such as bridges in challenging environmental conditions. The most important drawback of segmental vaults is basically the poor mechanical behaviour at the joints connecting their constituent segments. The influence of the joint shape and location on structural performances has been widely explored in the literature, including studies on different stereotomy, bond patterns, and interlocking joint shapes. To date, however, a few methods have been developed to design optimal joint layouts, but they are limited to extremely limited geometric parameters and material properties. To remedy this, this paper presents a novel method to design the strongest joint layout in 2D arched structures while allowing joints to take on a range of diverse shapes. To do so, a masonry arched form is represented as a layout of potential joints, and the optimization problems developed based on the two plastic methods of classic limit analysis and discontinuity layout optimization find the joint layout that corresponds to the maximum load-bearing capacity.

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“…Similarly, experimental and numerical investigations were carried out on the different behaviour of wooden joinery connections with different geometric properties [23][24][25][26]. A digital tool to design structurally feasible masonry structures composed of interlocking blocks has been developed by some of the presenting authors [27][28][29].…”

Section: Introductionmentioning

confidence: 99%

Torsion-shear behaviour at the interfaces of rigid interlocking blocks in masonry assemblages: experimental investigation and analytical approaches

et al. 2021

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Increasing interest has recently been devoted to interlocking blocks/interfaces capable to enhance the sliding resistance of masonry joints to external forces. In this framework, this paper deals with the assessment of the torsion-shear capacity of the contact interface between the lock and the main body of an interlocking block, assumed to have a cohesive behaviour. The interlocking block is a rigid unit which, on its faces, have square cuboidal locks keeping the adjacent/overlapped blocks together and preventing blocks from sliding. Two numerical approaches and a novel ad hoc experimental investigation are proposed to simulate the torsion-shear behaviour by applying eccentrical shear forces to the lock. First, concave, convex and corrected concave formulations provided by the literature for assemblages of rigid blocks with conventional planar joints are extended to model the interlocking block behaviour. Then, according to a second approach based on the discrete element method, the concave-shaped interlocking block is modelled by convex polyhedrons representing the lock and the main body of the block, considered as individual rigid units stacked over each other with a cohesive contact in between. A novel experimental investigation on the limiting pure shear and torsion-shear combinations at the lock interface made of cohesive material is also presented. Two different mortars were chosen to make the specimens, which were casted using 3D printed moulds, and different test configurations were set up to simulate shear and torsion-shear failures. The analytical and numerical results are compared with each other and against the experimental ones, with interesting remarks on the application of the different approaches.

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The role of different sliding resistances in limit analysis of hemispherical masonry domes

Cited by 15 publications

References 35 publications

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

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

Joint Layout Design: Finding the Strongest Connections within Segmental Masonry Arched Forms

Torsion-shear behaviour at the interfaces of rigid interlocking blocks in masonry assemblages: experimental investigation and analytical approaches

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