Analytical micro-modeling of masonry periodic unit cells – Elastic properties

Drougkas, Anastasios; Roca, Pere; Molins, Climent

doi:10.1016/j.ijsolstr.2015.04.039

Cited by 43 publications

(25 citation statements)

References 32 publications

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“…In other words, the stress-deformation state in masonry can neither be accurately expressed using solely a plane stress nor only a plane strain hypothesis for wall thicknesses used in the practice. In order to seize the effect of the finite thickness of the wall on its in-plane behaviour, several research groups developed approaches taking into account the actual 3D stress-deformation state of wall [ 17 , 19 , 25 , 35 ], or put forward descriptions based on a generalized plane strain state on the wall middle plane [ 32 – 34 , 36 – 38 ].…”

Section: Formulation Of the G / E Ratiomentioning

confidence: 99%

The ratio of shear to elastic modulus of in-plane loaded masonry

2020

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When designing unreinforced masonry buildings, the wall stiffness and, consequently, the masonry elastic and shear modulus E and G are essential parameters. Current codes provide empirical estimates of the masonry elastic modulus and a ratio between the shear and elastic modulus, G/E. This ratio, commonly taken as 0.4, is not based on scientific evidence and there appears to be no consensus concerning its value and influencing parameters, meaning that current code standards might not accurately portray the shear deformations of masonry elements. To give the choice of the G/E ratio a theoretical foundation, this paper presents closed-form expressions for the G/E ratio of running-bond masonry that capture the effects of finite joint thickness, finite wall thickness and orthotropic block properties. Based on the geometry of blocks and joints as well as their elastic parameters, a validation of the developed expression using 3D finite element analyses shows good performance. For modern masonry typologies with hollow clay bricks, a G/E ratio of 0.20–0.25 is obtained. For historical masonry typologies, such as dry stacked or mortared stone masonry, as well as solid clay brick masonry, ratios between 0.30 and 0.40 are computed.

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Section: Formulation Of the G / E Ratiomentioning

confidence: 99%

The ratio of shear to elastic modulus of in-plane loaded masonry

2020

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“…The second approach requires the modeling of the structure by mean of piers and spandrels elements where both are connected by mean of rigid offsets. In this regards, several studies have have been carried out related to these approaches [1,3,4,6,8,11,12]. In this research, a three-dimensional finite element model representative of the structure was created through SAP2000 in order to perform seismic analysis.…”

Section: Numerical Modelmentioning

confidence: 99%

Seismic Analysis and Retrofitting With FRP of an Old Masonry Clock Tower

Omar¹,

Tartoussi²

2019

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

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The seismic analysis of old masonry structures represents an important issue nowadays. Many researches have been developed to highlight on this important subject and how to apply retrofitting strategies appropriate for this kind of problems. This paper deals with the numerical seismic analysis and the benefit of the FRP retrofitting method on the seismic behavior of an old masonry clock tower located in Tripoli. Lebanon is a country with a high seismicity and is well known by its historical monuments and sites indeed. The chosen structure, called Al Tall clock tower, is one of the most significant monuments of Tripoli and was built by the Otto-mans in 1902. Therefore, a three dimensional finite element model is used to assess the seismic vulnerability of the structure by using the non-linear time history analysis first. Then, a pushover analysis was carried out and both results were compared. The obtained deformed shape and stress maps were used to highlight on the failure modes and the weak zones within the tower. The results exhibit the vulnerable behavior of the structure and the developed damaged zones along its height. Furthermore, a numerical model of the structure strengthened using fiber reinforced polymer (FRP) sheets wrapped around these critical zones is created. The analyses showed an improvement of the tower lateral strength and are promising in terms of reducing the seismic vulnerability of the old masonry monuments.

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“…Following this work, Cecchi et al [6] presented a study dealing with the determination of an analytical expression of the macroscopic overall effective elastic properties of masonry considering three intrinsic disruptive parameters. Furthermore, Drougkas et al [25] presented an analytical model for the analysis of masonry periodic unit cells based on detailed micromodeling. However, these suggested methods may require high computational costs since the formulation of equivalent models is complex and requires a huge number of simulations.…”

Section: Introductionmentioning

confidence: 99%

Artificial neural networks prediction of in-plane and out-of-plane homogenized coefficients of hollow blocks masonry wall

et al. 2020

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A masonry wall is a composite structure characterized by a large variety in geometrical and material parameters. The determination of the effective macroscopic properties, through the homogenization scheme, depends on a great number of variables. Thus, in order to replace heavy numerical simulation, in this paper, the use of artificial neural networks (ANN) is proposed to predict elastic membrane and bending constants of the equivalent Love-Kirchhoff plate of hollow concrete blocks masonry wall. To model the ANN, a numerical periodic homogenization in several parameters is used. To construct the model, five main material and geometrical input parameters are utilized. Multilayer perceptron neural networks are designed and trained (with the best selected ANN model) by the sets of input-output patterns using the backpropagation algorithm. As a result, in both training and testing phases, the developed ANN indicates high accuracy and precision in predicting the equivalent plate of a hollow masonry wall with insignificant error rates compared to FEM results.

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Analytical micro-modeling of masonry periodic unit cells – Elastic properties

Abstract: Highlights

Cited by 43 publications

References 32 publications

The ratio of shear to elastic modulus of in-plane loaded masonry

The ratio of shear to elastic modulus of in-plane loaded masonry

Seismic Analysis and Retrofitting With FRP of an Old Masonry Clock Tower

Artificial neural networks prediction of in-plane and out-of-plane homogenized coefficients of hollow blocks masonry wall

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