Numerical limit analysis-based modelling of masonry structures subjected to large displacements

Iannuzzo, Antonino; Dell'Endice, A.; Mele, Tom Van; Block, Philippe

doi:10.1016/j.compstruc.2020.106372

Cited by 52 publications

(29 citation statements)

References 55 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…This section briefly outlines the Piecewise Rigid Displacement approach (PRD) for masonry. This approach falls within the so-called block-based limit analysis methods and was extensively employed in the recent literature [35][36][37][38] for its effectiveness and reliability in assessing the stability of masonry structures.…”

Section: Piecewise Rigid Displacement (Prd) Methodsmentioning

confidence: 99%

Arch bridges subject to pier settlements: continuous vs. piecewise rigid displacement methods

et al. 2021

View full text Add to dashboard Cite

Settlements severely affect historic masonry arch bridges worldwide. There are countless examples of structural dislocations and ruins in recent years due to severe settlements at the base of pier foundations, often caused by shipworm infestation of wooden foundations or scouring and riverbed erosion phenomena. The present paper proposes an original way to approach the failure analysis of settled masonry arch bridges. The proposed method combines two different 2D numerical models for the prediction of masonry arch bridge capacity against settlements and for safety assessment. The first one is the Piecewise Rigid Displacement method, i.e. a block-based limit analysis approach using the well known Heyman's hypotheses; the second one is a continuous Finite Element approach. The case study of the four-span Deba Bridge (Spain, 2018) failure is presented with the aim to illustrate how the methods work. The failure analysis produced satisfactory results by applying both methods separately, in confirmation of their reliability. Their combination also allowed to obtain a significantly reduction in computational cost and an improvement of prediction accuracy. A sensitivity and a path-following analysis were also performed with the aim to demonstrate the robustness of the presented method. The obtained simulations highlighted that the results do not depend on the friction angle and that a proper prediction of the evolution of the structural behavior can be obtained only taking into account geometric nonlinearities. Such results demonstrate once again that in settled masonry arches geometry prevails over the mechanical parameters. The current study paves the way for the fruitful use of the proposed approaches for a wider range of applications, as, for example, the mechanism identification or the displacement capacity assessment of masonry structures under overloading as seismic loads.

show abstract

Section: Piecewise Rigid Displacement (Prd) Methodsmentioning

confidence: 99%

Arch bridges subject to pier settlements: continuous vs. piecewise rigid displacement methods

et al. 2021

View full text Add to dashboard Cite

show abstract

“…e numerical simulation software mainly used the discrete element software, such as UDEC [23], 3DEC [24], and YADE [25]. e results in the numerical simulation were relatively close to the engineering site.…”

Section: Introductionmentioning

confidence: 99%

Dimensionless Charts for Predicting the Range of Goaf Roof Caving

Zhang

Ren

et al. 2021

Mathematical Problems in Engineering

View full text Add to dashboard Cite

In engineering, the method of charts can provide a convenient query for specific engineering problems. To provide the basis for the potential hazard evaluation and rational governance of the goaf, it is necessary to study the quantitative evaluation for the range of goaf roof caving. Undoubtedly, the charts used to visually query the caving range can simplify the workload of the quantitative evaluation. Therefore, the methods of dimensional analysis, numerical simulation, and linear interpolation are introduced to study the dimensionless charts for predicting the caving range. The dimensionless analysis is used to establish the fuzzy function relationship among the influence factors of the goaf roof caving, and the numerical simulation is used to calculate the dimensionless groups in the fuzzy function. Using the linear interpolation, the dimensionless charts in this work can predict the range of goaf roof caving under more working conditions. The results show that the characteristics of the goaf roof caving corresponding to the dimensionless curves are consistent with the actual situation. With the continuous increase of the goaf span l, the dimensionless curves of the caving range experience zero growth, rapid growth, and steady growth. The growth degree varies with the fracture spacing S. Especially in the zero growth phase, the duration of the relatively stable state in the overlying strata of the goaf increases with the increase of fracture spacing S. Moreover, based on the case study of Shirengou Iron Mine, the dimensionless charts obtained in this work can predict the range of goaf roof caving under different working conditions, which indicates the findings of this study have certain guiding significance to the treatment of the goaf.

show abstract

“…On the other hand, whether the blocks are considered as physical units or as the result of a numerical discretization, a large number of blocks is expected, resulting in a large-size optimization problem. Following the initial idea proposed in [35,36], blockbased methods have been broadly used for the limit analysis of both 2D and 3D masonry structures in the last twenty years (e.g., see [32,39,56,57]), also assuming non-associative friction flow law (e.g., see [5,12,19,25,49,53]). An extension to masonry domes under horizontal forces has been discussed in [4,13], taking advantage of a point contact model which simplifies the imposition of the failure conditions at block interfaces and results in a cone programming problem.…”

Section: Introductionmentioning

confidence: 99%

A finite difference method for the static limit analysis of masonry domes under seismic loads

Nodargi

Bisegna

2021

Meccanica

View full text Add to dashboard Cite

The static limit analysis of axially symmetric masonry domes subject to pseudo-static seismic forces is addressed. The stress state in the dome is represented by the shell stress resultants (normal-force tensor, bending-moment tensor, and shear-force vector) on the dome mid-surface. The classical differential equilibrium equations of shells are resorted to for imposing the equilibrium of the dome. Heyman’s assumptions of infinite compressive and vanishing tensile strength, alongside with cohesive-frictional shear response, are adopted for imposing the admissibility of the stress state. A finite difference method is proposed for the numerical discretization of the problem, based on the use of two staggered rectangular grids in the parameter space generating the dome mid-surface. The resulting discrete static limit analysis problem results to be a second-order cone programming problem, to be effectively solved by available convex optimization softwares. In addition to a convergence analysis, numerical simulations are presented, dealing with the parametric analysis of the collapse capacity under seismic forces of spherical and ogival domes with parameterized geometry. In particular, the influence that the shear response of masonry material and the distribution of horizontal forces along the height of the dome have on the collapse capacity is explored. The obtained results, that are new in the literature, show the computational merit of the proposed method, and quantitatively shed light on the seismic resistance of masonry domes.

show abstract

Numerical limit analysis-based modelling of masonry structures subjected to large displacements

Cited by 52 publications

References 55 publications

Arch bridges subject to pier settlements: continuous vs. piecewise rigid displacement methods

Arch bridges subject to pier settlements: continuous vs. piecewise rigid displacement methods

Dimensionless Charts for Predicting the Range of Goaf Roof Caving

A finite difference method for the static limit analysis of masonry domes under seismic loads

Contact Info

Product

Resources

About