Discrete and Finite Element Models for the Analysis of Unreinforced and Partially Reinforced Masonry Arches

Baraldi, Daniele; Boscato, Giosuè; Bello, Claudia Brito de Carvalho; Cecchi, Antonella; Reccia, Emanuele

doi:10.4028/www.scientific.net/kem.817.229

Cited by 10 publications

(19 citation statements)

References 18 publications

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“…In the last decades, among masonry structures, many authors have been focused the attention in particular on the study of masonry arches (Boothby, 1994;Barsotti et al, 2017;Aita et al, 2020;Eroglu et al, 2020) adopting different approaches such as dynamic approach (Oppenheim, 1992;De Lorenzis et al, 2007a,b;Peña et al, 2007); Isogeometric approach (Chiozzi et al, 2016); Discrete Element Method (DEM) (Baraldi et al, 2019); homogenization technique (Reccia et al, 2013) or multiscale approach (Di Re et al, 2018). A recent work of Bruggi (2020) adopt the optimization process for study the optimal shape for arches and vaults.…”

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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“…Element size of the finite element model is very important for the accuracy of the results. 20 Therefore, it is necessary to investigate the influences of different tetrahedral mesh sizes on the finite element results to select an appropriate mesh size. In this study, the two 3D solid parts were divided into three-dimensional tetrahedral mesh, and the mesh sizes were set to 0.5 mm, 0.75 mm, 1 mm, 1.5 mm, 2 mm, 2.5 mm and 3 mm.…”

Section: Figurementioning

confidence: 99%

Effects of Impact Speeds, Fall Postures and Cortical Thicknesses on Femur Fracture by Incremental Element Deletion Based Finite Element Analysis

Cui¹,

Xiang²,

Shu³

et al. 2021

Preprint

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Numerical simulation of the proximal femur could provide an effective approach to predict the femoral fracture risk. However, most of the extant numerical simulations are static simulations, which cannot accurately reflect the dynamic growth process of cracks. In this study, the dynamic simulation by incremental element deletion (IED) based finite element analysis (FEA) was developed on femur fracture analysis and compared with two widly-used approaches (XFEM and USDFLD). It was also evaluated using the in-vitro loading test. Moreover, the effects of different impact speeds, fall postures, and cortical thicknesses on fracture types and mechanical responses were investigated. Impact speeds cause different crack propagation behaviors of the femoral neck. Falling forward was less likely to cause proximal femoral fracture compared with falling backward. The model with thin cortical bone was prone to fracture. These provides a theoretical basis and method for predicting femoral fracture risk in the elderly.

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“…3). Recent developments of this model also allow to consider generic quadrilateral or polygonal rigid elements [13]. Therefore, the actual trapezoidal section of the monolithic column and of each drum can be taken into account.…”

Section: Rigid Block Modelmentioning

confidence: 99%

Numerical Models for Simulating the Dynamic Behaviour of Freestanding Ancient Columns

Baraldi¹,

Sarhosis²

2019

Proceedings of the 7th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering (COM

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In this contribution, three numerical models are considered and compared, with the main purpose of simulating the dynamic behavior of monolithic and multi-drum freestanding ancient stone columns. The behavior of such classical and historic structural elements, typical of the Mediterranean area and that are frequently subject to seismic actions, is characterized by a strong nonlinearity due to sliding and rocking. A simple and effective rigid beam model, able to numerically solve the equations of motion of the column also accounting for Housner's hypotheses, is introduced for first and validated with respect to a software based on the Discrete Element Method (DEM), which has already proven its effectiveness in representing the behavior of columns and, more generally, masonry structures. Furthermore, a rigid block model accounting for the nonlinear behavior of the interfaces between the blocks is considered. On one hand, the rigid models can represent columns behavior with a not significant computational effort; on the other hand, the DEM is able to better describe the strong nonlinearity of columns behavior, with the detection of new contacts and the results in terms of collapse mechanisms characterized by large displacements that may be experienced by the blocks during the dynamic excitations. In this contribution several preliminary comparisons between the models are carried on by considering a multi-drum column and an equivalent monolithic one subject to a set of harmonic excitations with varying input frequency and acceleration amplitude.

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Discrete and Finite Element Models for the Analysis of Unreinforced and Partially Reinforced Masonry Arches

Cited by 10 publications

References 18 publications

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

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

Effects of Impact Speeds, Fall Postures and Cortical Thicknesses on Femur Fracture by Incremental Element Deletion Based Finite Element Analysis

Numerical Models for Simulating the Dynamic Behaviour of Freestanding Ancient Columns

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