Antonino Iannuzzo
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- An energy-based strategy to find admissible thrust networks compatible with foundation settlements in masonry structuresItem type: Journal Article
Mechanics Research CommunicationsMaia Avelino, Ricardo; Iannuzzo, Antonino; Van Mele, Tom; et al. (2022)This paper presents an energy-based methodology to compute internal stress states compatible with foundation settlements in masonry structures. The method is based on the application of Thrust Network Analysis (TNA). TNA is a lower-bound method that searches for admissible force networks in masonry structures by solving a constrained nonlinear optimisation problem (NLP) in which constraints enforce the limit analysis’ admissibility criteria. In this paper, the objective function minimises the complementary energy, which directly considers prescribed foundation displacements. This minimum energy criterion allows selecting among the infinite admissible stress states, the ones compatible with the settlements, suggesting potential crack regions at the onset of the motion. Application to general two- and three-dimensional masonry structures under vertical and horizontal loads are presented. The method has the potential to link internal stress states to boundary displacements and, thus, give mechanical meaning to typical crack patterns observed in masonry structures. - COMPAS Masonry: A computational framework for practical assessment of unreinforced masonry structuresItem type: Conference Paper
12th International Conference on Structural Analysis of Historical Constructions (SAHC 2021)Iannuzzo, Antonino; Dell'Endice, Alessandro; Maia Avelino, Ricardo; et al. (2021)In recent years, our (academic/theoretical) understanding of the behaviour of unreinforced masonry (URM) structures has improved significantly, and many advanced technological solutions for conservation have been developed. However, there is still a lack of appropriate methods and tools that can be used for the assessment of URM structures in everyday practice. Therefore, since 2018, the Block Research Group has been working on “Practical Stability Assessment Strategies for Vaulted Unreinforced Masonry Structures” with support of the Swiss National Science Foundation (SNSF). The goal of this research project is to create tools suitable for everyday engineering practice and to develop appropriate analysis strategies for diverse contexts and circumstances related to the availability of time, budget and available data. The main outcome is COMPAS Masonry: an open-source, Python-based computational framework for the assessment of URM structures. It provides a general-purpose toolbox for working with assemblies (compas_dem) and three custom made solvers that can deal with different aspects of the assessment of masonry structures: compas_tna based on Thrust Network Analysis, compas_prd based on the Piecewise Rigid Displacement method, and compas_rbe based on the Rigid Block Equilibrium. - Coupled Rigid-Block Analysis: Stability-Aware Design of Complex Discrete-Element AssembliesItem type: Journal Article
Computer Aided DesignKao, Gene Ting-Chun; Iannuzzo, Antonino; Thomaszewski, Bernhard; et al. (2022)The rigid-block equilibrium (RBE) method uses a penalty formulation to measure structural infeasibility or to guide the design of stable discrete-element assemblies from unstable geometry. However, RBE is a purely force-based formulation, and it incorrectly describes stability when complex interface geometries are involved. To overcome this issue, this paper introduces the coupled rigid-block analysis (CRA) method, a more robust approach building upon RBE's strengths. The CRA method combines equilibrium and kinematics in a penalty formulation in a nonlinear programming problem. An extensive benchmark campaign is used to show how CRA enables accurate modelling of complex three-dimensional discrete-element assemblies formed by rigid blocks. In addition, an interactive stability-aware design process to guide user design towards structurally-sound assemblies is proposed. Finally, the potential of our method for real-world problems are demonstrated by designing complex and scaffolding-free physical models. - Assessing the safety of vaulted masonry structures using thrust network analysisItem type: Journal Article
Computers & StructuresMaia Avelino, Ricardo; Iannuzzo, Antonino; Van Mele, Tom; et al. (2021)This paper presents a methodology to assess the stability of vaulted masonry structures using Thrust Network Analysis (TNA). It offers a new numerical strategy to compute the Geometric Safety Factor (GSF) of a given structure by directly evaluating its minimum thickness. Moreover, it provides an approach for tracing the vault's stability domain based on its extreme thrust values, which indicates the robustness of the structure. Together, these outcomes represent a proper measure of the safety level of masonry structures. Such results are obtained from constrained nonlinear optimisation problems (NLPs) with appropriate objective functions and constraints enforcing the limit analysis’ admissibility criteria. Networks with fixed horizontal projection are considered, for which the spatial geometry is a function of the independent force densities and the height of the support vertices. A faster, interactive procedure is proposed to improve the selection of such independent force densities. The range of applications of the present method includes arbitrary network topologies and different support conditions. Beyond analytically described geometries, the method can deal with geometries obtained numerically (e.g. from point clouds). The presented strategy is implemented in a Python-based package, and relevant applications illustrate the method's potential in assessing the stability of three-dimensional historic vaulted structures. - A computational design pipeline of 3D discrete-element assemblies in architectureItem type: PresentationKao, Gene Ting-Chun; Ranaudo, Francesco; Iannuzzo, Antonino; et al. (2022)
- A new numerical limit analysis-based strategy to retrofit masonry curved structures with FRCM systemsItem type: Conference Paper
ECCOMAS Congress 2022 - 8th European Congress on Computational Methods in Applied Sciences and EngineeringFugger, Rebecca; Maia Avelino, Ricardo; Iannuzzo, Antonino; et al. (2022)In most historic masonry structures, curved geometries, such as arches or vaults, are key structural components to the overall building stability. Therefore, it is crucial to assess their safety level with respect to changes in the boundary conditions (increased loads or settlements). If the safety level of the structure needs to be enhanced, a strategy to intervene and retrofit structural members is represented by the use of Fabric Reinforced Cementitious Matrix (FRCM) systems. These types of externally bonded composite materials, made of high-strength textiles embedded in inorganic matrices, are proven to be a particularly advantageous strengthening solution for curved masonry structures. Even though limit analysis approaches such as Thrust Network Analysis (TNA) have been widely used to assess structural stability, their use in a retrofitting framework is seldom explored. This paper proposes an automated procedure to design the FRCM reinforcement required in masonry structures based on an initial TNA assessment analysis. To perform these analyses, a nonlinear programming problem is implemented and solved to compute the minimum reinforcement required for stability. These quantities are then used to design the FRCM reinforcement according to existing regulations. Finally, the load-bearing capacity of the reinforced structure can be re-evaluated for different load cases ensuring that the structure is safe. The effectiveness of the proposed approach is benchmarked against laboratory tests and demonstrated on arched structures. - Parametric Stability Analysis of Groin VaultsItem type: Journal Article
Applied SciencesMaia Avelino, Ricardo; Iannuzzo, Antonino; Van Mele, Tom; et al. (2021)This paper presents a parametric stability study of groin, or cross vaults, a structural element widely used in old masonry construction, particularly in Gothic architecture. The vaults’ stability is measured using the geometric safety factor (GSF), computed by evaluating the structure’s minimum thickness through a thrust network analysis (TNA). This minimum thickness is obtained by formulating and solving a specific constrained nonlinear optimisation problem. The constraints of this optimisation enforce the limit analysis’s admissibility criteria, and the equilibrium is calculated using independent force densities on a fixed horizontal projection of the thrust network. The parametric description of the vault’s geometry is defined with respect to the radius of curvature of the vault and its springing angle. This detailed parametric study allows identifying optimal parameters which improve the vaults’ stability, and a comprehensive comparison of these results was performed with known results available for two-dimensional pointed arches. Moreover, an investigation of different force flows represented by different form diagrams was performed, providing a better understanding of the vaults’ structural behaviour, and possible collapse mechanisms were studied by observing the points where the thrust network touches the structural envelope in the limit states. Beyond evaluating the GSF, the groin vault’s stability domain was described to give additional insights into the structural robustness. Finally, this paper shows how advances in equilibrium methods can be useful to understand and assess masonry groin vaults. - When cracks are (not) a structural concern: the case of 'Giovanni Vinciguerra' School in AnagniItem type: Journal Article
International Journal of Masonry Research and InnovationFerrero, Chiara; Cusano, Concetta; Yavuzer, Mehmet Nuri; et al. (2022)This paper presents the structural assessment of a portion of 'Giovanni Vinciguerra' School, located in the municipality of Anagni, Italy. In 2009, the presence of some cracks in the vaults of the basement led the authorities to close the building and declare it not usable. In this work, firstly a proper knowledge of the history, geometry and structural configuration of the school was achieved by means of bibliographic research, laser-scanner survey and visual inspections. During onsite inspections, the damage observed was also surveyed and mapped in detail. Then, structural analysis applying graphic statics and inverse piecewise rigid displacement (PRD) analysis was carried out with the aim to identify the causes of damage and evaluate the residual structural safety of the building. The results obtained allowed to prove that the structure is safe despite the occurrence of some damage in the basement. - Understanding the rigid-block equilibrium method by way of mathematical programmingItem type: Journal Article
Proceedings of the Institution of Civil Engineers - Engineering and Computational MechanicsKao, Gene Ting-Chun; Iannuzzo, Antonino; Coros, Stelian; et al. (2021)This paper discusses and extends some main features of the rigid-block equilibrium (RBE) method. RBE is a numerical approach that frames the equilibrium problem of rigid-block assemblies as an optimisation problem to compute possible internal and equilibrated singular stress states. The contact between blocks is considered having a finite friction capacity and the unilateral behaviour is modelled through a penalty formulation. In particular, the penalty formulation widens the standard admissible solution space of compressive-only forces by allowing for tensile forces appearing on potentially unstable regions. The RBE objective function minimises the interface forces whereas the constraints are linear functions enforcing the static equilibrium of the whole assembly. In this paper, along with the original quadratic objective function, the authors propose a linear function to illustrate and explore the role played by both the nodal forces and the interface resultants. Moreover, the authors show how RBE can be used to explore different admissible internal stress states - for example, due to increasing, static, horizontal actions. - Modelling imperfections in unreinforced masonry structures: Discrete element simulations and scale model experiments of a pavilion vaultItem type: Journal Article
Engineering StructuresDell'Endice, Alessandro; Iannuzzo, Antonino; DeJong, Matthew J.; et al. (2021)The structural assessment of doubly-curved vaulted masonry structures, such as pavilion vaults, poses challenges specific to their high degree of indeterminacy. Two-dimensional equilibrium analysis methods may provide a lower bound of load or displacement capacity, but they do not accurately describe the three-dimensional (3D) behaviour of these structures, particularly when shear deformation (e.g. sliding) is important. Therefore, discrete element modelling (DEM) methods, which can effectively simulate 3D load re-distribution, have been used to investigate support displacement capacity and corresponding 3D collapse mechanisms. DEM analyses are usually conducted on perfect digital geometries. Meanwhile, both real structures and small-scale physical models have implicit assembly and fabrication imperfections, which may significantly alter their response. The present paper aims to investigate the influence of geometrical and mechanical imperfections by comparing DEM analyses with the results obtained from tests on a scale model. In particular, a new method to simulate imperfections within the DEM framework is proposed, and a DEM parametric analysis is compared to the measured behaviour of a 3D-printed scale model of a pavilion (or cloister) vault on spreading supports. The influence of both mechanical imperfections and geometrical imperfections, due to element geometry deviations or imprecision of the assembly process, have been investigated. Based on these analyses, the three-dimensional behaviour of a pavilion vault subjected to horizontal displacement of the supports is described, and the variability of results due to imperfections is demonstrated. A good agreement between DEM analyses and 3D-printed scale model tests is achieved, in terms of crack patterns and mechanisms. Geometrical imperfections did change the load paths within the vault, as expected, and also influenced the displacement capacity.
Publications1 - 10 of 15