Antonio Cazzani

Antonio Cazzani
Università degli studi di Cagliari | UNICA · Department of Civil, Environmental and Architectural Engineering

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70
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Publications

Publications (70)
Article
A rather unexplored question and a very challenging problem consist in the synthesis and modeling of composite metamaterials consisting of at least two phases. The study of this problem may have a huge impact in the field of Civil Engineering, where such kind of composite materials found several applications, for instance, in application to archite...
Article
Sardinia Radio Telescope (SRT) with its 64 m diameter primary mirror is a modern radio-astronomic facility. Its large dimensions allow to reach high performances, but, at the same time, make the antenna sensitive to deformations caused by environmental factors such as gravity, wind and temperature changes. Indeed, it is important to determine the e...
Article
Analysis of corrugated shell structures is an interesting problem in Structural Mechanics, which has many practical applications in Civil Engineering and Architecture. Thanks to corrugation, these structures have a remarkable feature: the wavy (undulated) shape in their edge provides significant enhancements in their structural behaviour, increasin...
Article
The mechanical behavior of fibrous metamaterials is mainly determined by the interactions between the fibers composing the architecture. These interactions are usually of two different kinds: those directly depending on the positions of the fibers and those that need mediators, usually consisting of hinges, either inelastic or perfect, inducing res...
Article
Full-text available
We call nonlinear dilatational strain gradient elasticity the theory in which the specific class of dilatational second gradient continua is considered: those whose deformation energy depends, in an objective way, on the gradient of placement and on the gradient of the determinant of the gradient of placement. It is an interesting particular case o...
Article
Full-text available
The aim of this paper is to present an in-depth numerical investigation on the statics of historical masonry stellar vaults, a special class of masonry ribbed vaults whose three-dimensional geometry features a star-shaped projection on the horizontal plane. In particular, the mechanical behavior of the masonry stellar vault belonging to the church...
Conference Paper
The Budello tower is located on a slight promontory from which it dominates the entire bay of Teulada and the towers of Sant’Isidoro, Pixinni, Malfatano and Porto Scudo. The tower, built in 1601 with irregular ashlars of local stones (mainly of magmatic-intrusive origin), has a truncated cone shape, an external diameter of 10,2 m and a height of 11...
Article
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The central theme of this study is to investigate a remarkable capability of a second-gradient continuum model developed for pantographic structures. The model is applied to a particular type of this metamaterial, namely the wide-knit pantograph. As this type of structure has low fiber density, the applicability of such a continuum model may be que...
Article
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This work discusses some alternate models of a mixed assumed strain finite element which has been developed for laminated plates. After a brief theoretical review about this kind of plates and their possible finite element formulation, specifically devised for predicting the mechanical behavior of such structures, we discuss four possible assumptio...
Article
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In this paper, we discuss well-posedness of the boundary-value problems arising in some “gradient-incomplete” strain-gradient elasticity models, which appear in the study of homogenized models for a large class of metamaterials whose microstructures can be regarded as beam lattices constrained with internal pivots. We use the attribute “gradient-in...
Article
Full-text available
In HBIM processes, the extraction of geometric components from 3D point clouds data can sometimes be a complex process. The so-called Scan to BIM process has been widely utilized: deriving 3D models from point clouds often a local modelling of geometric components is necessary. This leads in most cases to use external modelling tools or complex loc...
Article
Full-text available
In this paper, we account for the research efforts that have been started, for some among us, already since 2003, and aimed to the design of a class of exotic architectured, optimized (meta) materials. At the first stage of these efforts, as it often happens, the research was based on the results of mathematical investigations. The problem to be so...
Chapter
In this chapter it is presented the translation of the opera “Sulla teorica del pendolo” by Gabrio Piola. It was published in Effemeridi Astronomiche di Milano for the year 1831.
Chapter
In this Volume II of the translations into English of the works by Gabrio Piola, we begin from the true first work written by the young Gabrio before 1824, when he was less than 30 years old. The content of the work Sull’applicazione de’ principj della meccanica analitica del Lagrange ai principali problemi. Memoria di Gabrio Piola presentata al co...
Chapter
In this chapter it is presented the translation of the opera “Supplemento alla memoria sulla teorica del pendolo” by Gabrio Piola. It was published in Effemeridi Astronomiche di Milano for the year 1832.
Book
This book presents the second volume of Piola’s original Italian text together with the English-language translation and comments, showing convincingly that Gabrio Piola’s work must still be regarded as a modern theory. Gabrio Piola’s work has had an enormous impact on the development of applied mathematics and continuum mechanics. As such, a commi...
Chapter
The standard finite elements approach for the dynamics of curved beam is usually based on the same energy functional used for straight beam, in other words an energy form that is essentially derived from de Saint–Venant’s theory. In case of strongly curved elements this approximation yields to not negligible errors, in particular for stress assessm...
Conference Paper
The aim of this paper is to study the statics of the stellar (i.e. star-shaped) vault of the church of Santa Maria del Monte in Cagliari. This church, which was built during the second half of the 16th century, is a beautiful example of Gothic-Catalan style and the ribbed stellar vault is one of the most representative of this type in the town of C...
Conference Paper
The aim of this paper is to study the statics of the stellar (i.e. star-shaped) vault of the church of Santa Maria del Monte in Cagliari. This church, which was built during the second half of the 16th century, is a beautiful example of Gothic-Catalan style and the ribbed stellar vault is one of the most representative of this type in the town of C...
Article
Gustav Kirchhoff has been credited, among many other renowned achievements, as the first scientist who tackled and solved the problem of studying the transversal vibrations of beams with variable cross-section. His contribution, which was presented in 1879 and published in the following year, is nowadays almost forgotten in the international scient...
Article
In this paper, a simplified analytic model for the dynamic behaviour of railway catenary wire is presented. The model is discussed and validated with the help of numerical results obtained by a finite element code, for the case of a typical Italian railway installation. The simplified model is convenient from the computational point of view and is...
Article
Fibre-reinforced plates and shells are finding an increasing interest in engineering applications; in most cases dynamic phenomena need to be taken into account. Consequently, effective and robust computational tools are sought in order to provide reliable results for the analysis of such structural models. In this paper the mixed assumed-strain la...
Article
In [1] a novel metamaterial has been designed and studied, whose performances include an enhanced toughness in extension: one of the problems to be solved in the further development of the concept involves the study of its deformation induced by loads concentrated on fibers (fiber pull-out test). A continuum model seems particularly unfit for the d...
Article
Full-text available
Hencky (Über die angenäherte Lösung von Stabilitätsproblemen im Raum mittels der elastischen Gelenkkette. Ph.D. thesis, Engelmann, 1921) proposed a discrete model for elasticae by introducing rigid bars and rotational springs. Hencky (Proc R Soc Lond A Math Phys Eng Sci 472(2185), 2016) approach has been introduced to heuristically motivate the nee...
Article
Full-text available
The problem of free vibrations of the Timoshenko beam model has been addressed in the first part of this paper. A careful analysis of the governing equations has shown that the vibration spectrum consists of two parts, separated by a transition frequency, which, depending on the applied boundary conditions, might be itself part of the spectrum. Her...
Article
Full-text available
The problem of free vibrations of the Timoshenko beam model is here addressed. A careful analysis of the governing equations allows identifying that the vibration spectrum consists of two parts, separated by a transition frequency, which, depending on the applied boundary conditions, might be itself part of the spectrum. For both parts of the spect...
Article
The theoretical results relevant to the vibration modes of Timoshenko beams are here used as benchmarks for assessing the correctness of the numerical values provided by several finite element models, based on either the traditional Lagrangian interpolation or on the recently developed isogeometric approach. Comparison of results is performed on bo...
Article
The current development of the isogeometric approach in various fields of mechanics is explained by the high-accuracy results which can be achieved at a reduced computational cost by codes based on non-uniform rational B-splines (NURBS). In the case of strongly curved beams the simple diagonal de Saint-Venant’s constitutive model can lead to signif...
Article
Full-text available
The 64 m diameter Sardinia Radio Telescope (SRT), located near Cagliari (Italy), is the world’s second largest fully steerable radio telescope with an active surface. Among its peculiarities is the capability of modifying the configuration of the primary mirror surface by means of electromechanical actuators. This capability enables, within a fixed...
Article
Full-text available
The Sardinia Radio Telescope (SRT), located near Cagliari (Italy), is the world’s second largest fully steerable radio telescope endowed with an active-surface system. Its primary mirror has a quasi-parabolic shape with a diameter of 64 m. The configuration of the primary mirror surface can be modified by means of electro-mechanical actuators. This...
Article
Multiple-input, multiple-output models for coupled systems in structural dynamics including unbounded domains, like soil or fluid, are characterized by sparse system-matrices and unstable parts in the whole set of solutions due to spurious modes. Spectral shifting with deflation can stabilize these unstable parts; however the originally sparse syst...
Article
Full-text available
The interaction between cars or trains and bridges has been often described by means of a simplified model consisting of a beam loaded by a traveling mass, or by a traveling oscillator. Among others, two aspects are essential when dealing with masses traveling along flexible vibrating supports: (i) a complete relative kinematics; and (ii) a continu...
Article
A new approach toward a fully computer-aided design (CAD) integrated structural analysis of arched masonry structures is proposed and a new MATLAB-based computational tool, named ArchNURBS, is developed. It is addressed to professionals dealing with the restoration or structural rehabilitation of historical constructions, who need to assess the saf...
Article
Full-text available
We illustrate a numerical tool for analyzing plane arches such as those frequently used in historical masonry heritage. It is based on a refined elastic mechanical model derived from the isogeometric approach. In particular, geometry and displacements are modeled by means of non-uniform rational B-splines. After a brief introduction, outlining the...
Chapter
Full-text available
I principj ed i metodi generali esposti dal sommo Lagrange nella Meccanica Analitica vennero in molta parte abbandonati dai geometri che dopo di lui trattarono questioni di Matematica applicata. L’essere alcuni di quei principj, o non dimostrati, o dimostrati incompletamente, pare sia la cagione principale di quell’abbandono, e ne abbiamo quasi una...
Article
In a paper, which has been recently published in Applied Mathematics and Computations, Khan and Ahmad (2012) [1] deal with the detection of the extrema of Young’s modulus, E, in hexagonal materials. A few issues presented in that paper, which deserve being outlined and thoroughly discussed, are tackled. Moreover, in the case of hexagonal materials,...
Conference Paper
In this work a practical tool for the analysis of masonry arches, which is based on a combination of isogeometric analysis and of a suitable implementation of the classic safe theorem proposed by Heyman [1] is presented. The computer code, developed in the popular Matlab language, has been designed in such a way that, by using it, professionals dea...
Article
Full-text available
A curved beam element based on the Timoshenko model and non-uniform rational B-splines (NURBS) interpolation both for geometry and displacements is presented. Such an element can be used to suitably analyse plane-curved beams and arches. Some numerical results will explore the effectiveness and accuracy of this novel method by comparing its perform...
Article
Time-domain formulations for soil–structure interaction problems with an unbounded soil-domain (the so-called far-field) including wave propagation require such time-domain formulations for both parts, soil and structure. For the structure (the near-field), typically treated by a finite element approach, the time-domain is used from the very beginn...
Article
Free vibrations of straight beams which are partially supported by an elastic foundation are analyzed. For the sake of simplicity, only the Euler–Bernoulli beam model coupled with a Winkler-type elastic foundation is considered. This structural system can be used to study, in a rather accurate way, the dynamic response of partially embedded piles (...
Data
Full-text available
The Sardinia Radio Telescope (SRT) is the second largest fully steerable radio telescope in the world placed near San Basilio, (Cagliari) in Sardinia, Italy. It will work with high efficiency. In particular, the nominal minimum wavelength is 3 mm (corresponding to a frequency of 100 GHz). The diameter of the primary reflector is 64 m and it is an "...
Conference Paper
Full-text available
Fibre reinforced plates and shells are funding an increasing interest in engineering ap-plications; in most cases dynamic phenomena need to be taken into account. Consequently effective and robust computational tools are sought in order to provide reliable results for the analysis of such structural models. In this paper the laminate hybrid assumed...
Conference Paper
Full-text available
The use of refined models for investigating the in-plane behaviour of periodic brickwork is an active field of research; here a comparison between a Discrete Element Method (DEM) and a Finite Element/Discrete Element Method (FEM/DEM) is performed.
Article
Rotor platforms supported by pile-groups typically run through resonance during start up and shut down. End-bearing pile-groups resting on a rather stiff underground surface cause additional layer-resonances compared with pile-groups driven into a half-space. On the other hand, the system's eigenfrequencies are accompanied by energy dissipation due...
Article
The use of refined models for investigating the in-plane behavior of periodic brickwork is an active field of research. A key aspect in modeling periodic brickwork is the identification of an appropriate scale of analysis suited for the effective characterization of the mechanical properties of structure. With this purpose, different models will be...
Article
Full-text available
In this work the performances of the Discrete Element Method (DEM) applied to kinematic limit analyses of the out-of-plane behavior of masonry wall panels (with different textures) are investigated. A discrete model of masonry is proposed, which assumes that rigid blocks are connected by a mortar interface: this is ap-propriate for historical maso...
Article
In the literature relevant to soil–foundation–structure interaction problems a lot of results for the dynamic stiffness in the interface between the soil–foundation part and the structure have been published. However, in order to deal with transient excitations, a transformation into the time-domain is necessary. This contribution uses a well-descr...
Conference Paper
In this work the applicability of finite element\discrete element method to investigate the behavior of masonry structures is assessed. Discrete element method could be a consistent procedure to study masonry structures thanks to the possibility of creating models made of separate blocks. In particular, these models are able to properly represent t...
Article
For a homogeneous and linearly elastic solid the general expression of Young’s modulus E(n) is given, and a constrained extremum problem is formulated for the evaluation of the directions n corresponding to stationary values of the modulus. The formulation follows that presented in [International Journal of Solids and Structures 40 (2003) 1713–1744...
Article
Full-text available
Fibre-reinforced plates and shells are find- ing an increasing interest in engineering applications. Consequently, efficient and robust computational tools are required for the analysis of such structural models. As a matter of fact, a large amount of laminate finite el- ements have been developed and incorporated in most commercial codes for struc...
Article
In the present paper a simple mixed-hybrid element for the linear analysis of Reissner-Mindlin plates is discussed. The element is derived from a modified Reissner functional and standard bilinear (isoparametric) interpolation for displacement and rotations is assumed whereas local stresses (rather than stress resultants and moments) are explicitly...
Article
For a homogeneous anisotropic and linearly elastic solid, the general expression of Young’s modulus E(n), embracing all classes that characterize the anisotropy, is given. A constrained extremum problem is then formulated for the evaluation of those directions n at which E(n) attains stationary values. Cubic and transversely isotropic symmetry clas...
Article
The widespread use of net barriers, which are flexible, as opposed to rigid, devices for intercepting falling rocks has led to the need for rigorous design criteria based on safe and sound theoretical methods. Consistently with current practice, full-scale experimental tests are necessary in order to assess the reliability of any such barrier. Here...
Article
An analysis of some quadrilateral dual mixed finite element methods for plane membrane problems is presented. The methods are based on a variational formulation which a priori does not involve symmetric stresses. After having presented the governing equations of the problem under discussion in the linear framework, a detailed analysis of a method a...
Article
A survey of variational principles, which form the basis for computational methods in both continuum mechanics and multi-rigid body dynamics is presented: all of them have the distinguishing feature of making an explicit use of the finite rotation tensor. A coherent unified treatment is therefore given, ranging from finite elasticity to incrementa...
Article
Full-text available
A family of new 4-noded membrane elements with drilling degrees of freedom and unsymmetric assumed stresses is presented; it is derived from a mixed variational principle originally formulated for finite strain analysis and already used in the literature to develop a purely kinematic membrane model. The performance of these elements, investigated t...
Article
A procedure for shakedown analysis in the presence of temperature-dependent elastic properties is proposed. It is based on a kinematic statement derived from a discretized version of the shakedown condition and provides an iterative method for the evaluation of the shakedown boundary. Strictly speaking, only upper bounds are obtained; however, the...
Article
Full-text available
The paper deals with elastic-plastic optimization of flexural structural systems, subjected to kinematic restrictions. A finite holonomic piecewise linear elastic-hardening constitutive law is adopted. Sensitivity analysis for the displacement field is also performed, and a suitable finite element formulation, allowing for the spreading of plastici...
Article
A known finite element model is significantly enriched in order to take into consideration the variations of material parameters that are provoked by elevated temperatures due to fire environment. On the basis of this ‘heterogeneity acquired model’ a numerical iterative procedure is implemented that permits to describe the performances of beam stru...
Article
Full-text available
SOMMARIO Per un solido omogeneo, elastico lineare e anisotropo, si determina l'espressionepì u gen-erale del modulo di Young E(n), valida per qualunque classe d'anisotropia. Si formula quindi il problema di estremo vincolato per la determinazione delle direzioni n secondo le quali E(n) assume valori stazionari. Ci si riferisce, in particolare, alle...

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