Collapse mechanism analysis of historic masonry structures subjected to lateral loads: A comparison between continuous and discrete models

Malena, Marialaura; Portioli, Francesco; Gagliardo, Raffaele; Tomaselli, Giovanni; Cascini, Leonardo; Felice, Gianmarco de

doi:10.1016/j.compstruc.2019.04.005

Cited by 54 publications

(43 citation statements)

References 38 publications

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“…It is anisotropic as a consequence of the arrangement of the blocks within the assembly and it is unbounded in the direction of compression [24,27]. In the present work, in-plane actions only are considered, while the effectiveness of the plate model under out-of-plane loads has been shown in other recent works [23,24].…”

Section: The Homogenized Continuum Model For Finite Element Analysismentioning

confidence: 85%

“…It is worth noting that the value for the vertical reaction provided by the homogenized FEA is an upper bound for both the solution provided by the RBLA. This is not surprising as the FEA is based on the homogenization theory, where the characteristic size of the block (its height or width) has to be small enough when compared with the characteristic length of the problem, such as the wall's height or width [23]. A slight difference in terms of reaction at the base of the masonry panel in case of the two adopted block typologies is observed for both the model, to 40x25 block size corresponds a slight greater reaction at failure than that corresponding to the case of 25x12 block size.…”

Section: The Façade Without Openingsmentioning

confidence: 99%

“…Due to the assumption of infinite compressive strength, the failure condition is reached through joint opening and sliding among the blocks at the contact interfaces. The adopted non-linear three-dimensional FEA model represents the masonry wall as an elasto-perfectly plastic homogenized Love-Kirchhoff plate [23,24]. The model, formulated in the framework of multi-surface plasticity, is implemented in a FE code for the path-following analysis, by means of a minimization algorithm directly derived from the Haar-Karman principle.…”

Section: Introductionmentioning

confidence: 99%

“…The output of such a formulation is represented by capacity curves derived from specific load and constrain conditions. In a previous paper [23] the authors carried out a comparison for masonry walls subjected to lateral forces, with the purpose of simulating the seismic behavior. In the present paper, the comparison is extended to the case of settlements, using appropriate loading and boundary conditions.…”

Section: Introductionmentioning

confidence: 99%

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Rigid block and finite element analysis of settlement-induced failure mechanisms in historic masonry wall panels

Gagliardo¹,

Cascini²,

Portioli³

et al. 2019

Frattura Ed Integrità Strutturale

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The paper is related to the assessment of failure mechanisms of historic masonry structures suffering settlements induced by ground movements. Two numerical strategies are adopted in order to study the influence of the masonry shape and the settled zone on the cracking of masonry buildings: a discrete rigid block model and a continuous homogenized model. The first approach provides an estimate of the failure pattern of masonry based on the lower bound theorem of limit analysis. The second approach is formulated in the framework of multi-surface plasticity and is implemented in a finite element code for path-following non-linear analysis of masonry walls, described as continuous anisotropic plates. Several configurations of masonry walls under vertical settlement are investigated and the corresponding failure patterns resulting in local or global failure modes are presented. The results of the two models are compared and discussed in order to highlight pros and cons of discrete and continuous formulations in the prediction of settlement-induced damage of masonry structures.

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Section: The Homogenized Continuum Model For Finite Element Analysismentioning

confidence: 85%

Section: The Façade Without Openingsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Rigid block and finite element analysis of settlement-induced failure mechanisms in historic masonry wall panels

Gagliardo¹,

Cascini²,

Portioli³

et al. 2019

Frattura Ed Integrità Strutturale

Self Cite

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“…In this paper, the result of a DEM model [3] and of a FEM model [4,5] are validated through the comparison of a full-scale experiment [6]. Collapse mode, crack pattern, hinge formation and load bearing capacity are shown and compared.…”

Section: Introductionmentioning

confidence: 99%

Evaluation of Different Computational Modelling Strategies of a Masonry Vault with Buttresses and Backfill

Gobbin¹,

Malena²,

Felice³

et al. 2021

14th WCCM-ECCOMAS Congress

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In this paper, a critical comparison of two of the most common methods for the analysis of masonry vaults up to collapse is carried on. Innovative 2D Discrete Element (DE) and Finite Element (FE) models have been adopted aiming at capturing the main features of masonry single curvature structures mechanical behavior. Two numerical strategies are adopted: a discrete element model and a continuous homogenized model. The first approach provides an estimate of the collapse load and failure pattern of masonry based on ad-hoc implemented algorithm. The second approach is formulated in the framework of multi-surface plasticity and implemented in a FE code for the path-following non-linear analysis of masonry wall described as continuous anisotropic plate. The two numerical approaches are adopted to reproduce the Experimental Campaign of a full-scale Catalan vault with buttresses and backfill, statically loaded at 1/3 span. The failure modes and the crack patterns obtained by the proposed models are compared between them and with that observed in the experimental test as well as the load-displacement response curves. Both the proposed models efficiently capture the behavior of the vault and, in particular, the backfill deformation and load-spreading effect, hinges position and formation order.

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Advanced numerical analyses by the Non‐Smooth Contact Dynamics method of an ancient masonry bell tower

Ferrante

Clementi

2020

Math Methods in App Sciences

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Advanced numerical analyses were carried out in order to assess the nonlinear dynamical behaviour of the bell tower of Pomposa Abbey in Codigoro, in the province of Ferrara (Italy), by means of the Non‐Smooth Contact Dynamics (NSCD) method. The main purpose of the work is to investigate the capacity of the main mechanical parameter used in the analyses, namely, the friction coefficient, to have effects on the mechanical response of ancient masonry structures undergoing seismic actions. Therefore, the tower was modelled following the discrete element method (DEM) and assembling the masonry texture as rigid bodies tied by frictional joints. Thus a discontinuous approach was used to assess the dynamic properties and the vulnerability of the masonry structure, through large deformations regulated by the Signorini's law, concerning the impenetrability between the rigid bodies; and by the Coulomb's law, regarding the dry‐friction model. Afterward, different values were assigned to the friction coefficient of the models, and a variety of real seismic shocks have been applied in the nonlinear analyses. Finally, it is possible to see different failure mechanisms resulting for each friction value and types of dynamic actions used, as expected.

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Collapse mechanism analysis of historic masonry structures subjected to lateral loads: A comparison between continuous and discrete models

Cited by 54 publications

References 38 publications

Rigid block and finite element analysis of settlement-induced failure mechanisms in historic masonry wall panels

Rigid block and finite element analysis of settlement-induced failure mechanisms in historic masonry wall panels

Evaluation of Different Computational Modelling Strategies of a Masonry Vault with Buttresses and Backfill

Advanced numerical analyses by the Non‐Smooth Contact Dynamics method of an ancient masonry bell tower

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