Limit analysis of masonry block structures with non-associative frictional joints using linear programming

Gilbert, Matthew; Casapulla, Claudia; Ahmed, Husham M.

doi:10.1016/j.compstruc.2006.02.005

Cited by 230 publications

(121 citation statements)

References 17 publications

(29 reference statements)

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“…Gilbert et al [2006] focus on friction behavior for rigid block structures and also consider two-dimensional problems. Livesley [1978] described the use of linear programming for 2D masonry analysis in 1978, with further work on a small class of 3D structures [Livesley 1992].…”

Section: Design By Optimizationmentioning

confidence: 99%

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Procedural modeling of structurally-sound masonry buildings

2009

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Section: Design By Optimizationmentioning

confidence: 99%

“…We do not consider the "sawtooth" friction case described by Gilbert et al [2006]; we assume idealized interfaces where only tangential displacement would occur. Our method identifies structures where a feasible equilibrium solution exists.…”

Section: Block Sizementioning

confidence: 99%

Procedural modeling of structurally-sound masonry buildings

2009

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“…They obtained the nonlinear behavior by assuming a set of planes on the element where the frictional response can take place, together with the tensile and compression limit stress. In accordance with the research above on the numerical analysis of masonry walls by the use of micro modeling processes, the models can be divided into groups: 1) one group used the tension cut-off model with the compressive cap model for the mortar joint and elastic behavior of a block [7,13,18], 2) another group used the tension cut-off model without the compressive cap model for the mortar joint for either the elastic-plastic behavior for block masonry [2,16] or the elastic behavior for block masonry [6], and 3) the final group implemented the tension cut-off model with the compressive cap model for mortar joints and the elastic behavior of block masonry [4,8,9,11,15,17]. Therefore, based on these divisions, it is necessary to investigate masonry walls with the use of the tension cut-off model with the compressive cap model and elastic-plastic behavior for block masonry with a simple formulation.…”

Section: Introductionmentioning

confidence: 99%

“…Olivirea and Lourenco developed the model presented in [9] for cyclic loading. The limit analysis of the masonry structure was implemented by modeling nonassociative Coulomb sliding friction [7]. Chaimoon and Attard [4] carried out analysis of a masonry wall with the model introduced in [17]; however, they implemented the model with different slope angles for the linear approximation to the cap model.…”

Section: Introductionmentioning

confidence: 99%

Lateral strength force of URM structures based on a constitutive model for interface element

Akhaveissy

2011

Lat. Am. j. solids struct.

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This paper presents the numerical implementation of a new proposed interface model for modeling the behavior of mortar joints in masonry walls. Its theoretical framework is fully based on the plasticity theory. The Von Mises criterion is used to simulate the behavior of brick and stone units. The interface laws for contact elements are formulated to simulate the softening behavior of mortar joints under tensile stress; a normal linear cap model is also used to limit compressive stress. The numerical predictions based on the proposed model for the behavior of interface elements correlate very highly with test data. A new explicit formula based on results of proposed interface model is also presented to estimate the strength of unreinforced masonry structures. The closed form solution predicts the ultimate lateral load of unreinforced masonry walls less error percentage than ATC and FEMA-307. Consequently, the proposed closed form solution can be used satisfactorily to analyze unreinforced masonry structures.

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“…As previously stated, the most common idealizations of masonry material behavior are elastic, nonlinear elastic and elastic plastic [9], but in the case of masonry arch bridges and curved structures in general the most diffused approach still remains limit analysis [26]. Several rigid blocks analysis methods have been developed to study the behavior at collapse of masonry arch [27,28,29].…”

Section: Fe-de Modelling For Masonry Arch Bridgesmentioning

confidence: 99%

A Finite Element-Discrete Element Approach for the Analysis of the Venice Trans-Lagoon Railway Bridge

Reccia¹,

Cecchi²,

Milani³

Proceedings of the Third International Conference on Railway Technology: Research, Development and Maintenance

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In this paper, the feasibility of the utilization of a combined finite element/discrete element (FE-DE) approach to investigate the behavior of masonry arch bridges is proposed. Attention is paid to the assessment of the load carrying capacity by means of a suitable coupled FE-DE two-dimensional approach. This paper outlines the fields and limits of applicability of the FE-DE method to the study of masonry arch bridges. The main contribution is to evaluate the applicability of FE-DE, in particular its reliability to describe the nonlinear behavior of masonry arch bridges under increasing static loads, to catch kinematic failure mechanisms and collapse load multipliers, as well as to evaluate the role played by the backfill.A discussion on a possible approach to FE-DE modelling of the Venice transLagoon masonry arch bridge is proposed. With such a purpose, a series of parametric analyses has been conducted in order to evaluate the influence of the different parameters involved on the behavior of the bridges. Pushover analyses have been performed to investigate the nonlinear behavior up to the collapse and up to a clear formation of a failure mechanism in the model.

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Limit analysis of masonry block structures with non-associative frictional joints using linear programming

Cited by 230 publications

References 17 publications

Procedural modeling of structurally-sound masonry buildings

Procedural modeling of structurally-sound masonry buildings

Lateral strength force of URM structures based on a constitutive model for interface element

A Finite Element-Discrete Element Approach for the Analysis of the Venice Trans-Lagoon Railway Bridge

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